# NCERT Solutions for Class 12 Maths Chapter 13 Probability In Hindi

Mathematics concepts are used widely in almost every other field. Its principles are helpful in training the mind to think logically, and students can increase their reasoning ability with the knowledge of such concepts. Mathematics is also the basis of Machine language learning. Students can learn to solve real-world problems with the help of Mathematics. Students aspiring to develop a career in Actuary, Data Science, Data Analysis, Statistics, etc., are advised to pay more attention to learning Mathematics concepts in detail. They must develop problem-solving abilities in order to practise mathematics topics.Practice is the most important aspect of understanding Mathematics.

In the school curriculum, Mathematics is one of the most important subjects. It is assigned as a subject for primary classes in schools. It is necessary for students to make use of the right kind of study materials to prepare well for the board exams in Mathematics. Almost every job requires some level of mathematical knowledge.Students aiming to develop their own businesses in the future must focus on these concepts.

Class 12 is an important step in a student’s life. Students can get admission into different courses after passing the Class 12 exams. The marks obtained are very crucial as the future of students largely depends on them. The scores of Class 12 are beneficial for getting admissions into the best colleges in India. It has been seen that many colleges take admissions based on the Class 12 marks, therefore it is important to score well in board examinations. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in scoring higher marks in Class 12.

The marks obtained in Class 12 are also essential for getting scholarships from various college admissions. Students must learn each of the subjects in the Class 12 curriculum thoroughly.

The result of Class 12 is important for getting government jobs that are based on merit. Moreover, these marks are crucial for getting private jobs, as many companies have Class 12 marks as an important criterion for the interview.

Students can enhance their logical reasoning and analytical skills with the help of practising Mathematics and repeatedly working on it. The fundamentals of this subject are extremely useful in everyday activities.Basic arithmetic calculations are helpful in carrying out normal worldly activities. Mathematics is necessary for building mental discipline and becoming more organised. For developing global understanding and communication, Mathematics concepts are very important. Many official tasks require basic mathematical operations and calculations. The knowledge of Mathematics principles is beneficial for boosting the career opportunities of students. A student can become a Data Analyst, Market Researcher, Mathematician, Information Research Scientist, etc with Mathematics knowledge.

Mathematics is one of the core subjects in the Class 12 curriculum. Students are advised to develop analytical skills for studying the subjects at the Class 12 level. Mathematics concepts are helpful in nurturing this analytical thinking in students. Class 12 students have Mathematics as one of the core subjects in their course. In order to learn mathematical concepts, practise is essential. Class 12 students are advised to regularly practice the questions based on the chapters for improving their knowledge. Students are required to keep assessing their preparation level for mathematics in order to make improvements in their learning process.

They can easily revise the chapters Mathematics with the help of revision notes of each chapter. Students of Class 12 of the Central Board of Secondary Education can download the revision notes for each chapter from the Extramarks website and mobile application. Apart from revision notes, the other useful resources to prepare effectively for the Class 12 board exams are accessible on Extramarks as well.

Students forget to solve exercise questions on a regular basis. Solving the exercises creates a deeper understanding of the concepts and therefore, students are able to prepare well for the exams.

They need to develop a habit of solving exercise questions in order to score higher marks in the Mathematics exam. The Class 12 NCERT Solutions Maths Chapter 13 In Hindi are helpful in developing a habit of practising exercise questions regularly.

In a subject like Mathematics, the students need to study the topics every day. It is important for them to give equal attention to all the chapters of Mathematics, as questions are asked from every chapter in the board exam. Apart from studying the topics, it is also necessary to revise them from time to time. All the online resources need to be utilised while studying and revising the chapters of Mathematics.

In the Mathematics textbook, each of the topics is explained with the help of solved examples. All the solved examples are usually accompanied by a step-by-step procedure for easy understanding. Students need to go through the examples given in the textbook in order to enhance their understanding of the topics.

Solved examples are helpful in practising the problems given in the exercises. They give useful directions for solving questions of an exercise. There are different procedures for solving problems related to the same concept. Students need to practise more in order to get used to all the procedures of solving questions in Mathematics.

Students are advised to attempt mock tests to assess their knowledge of each topic. They can give mock tests for each of the Mathematics chapters on the Extramarks website and mobile application. They will be able to get important feedback after giving mock tests this way, and they will be able to easily make changes to their ongoing preparation.

Mathematics is not as difficult as students think. It is a very high-scoring subject. With proper planning and efficient preparation strategies, students can easily perform well in the Mathematics exam.

Students are advised to make a list of all the formulae in a chapter and keep revising them from time to time. Students belonging to Class 12 of the Central Board of Secondary Education (CBSE) need to keep referring to the online resources for improving their board exam preparation of Mathematics. Extramarks has sample papers, mock tests, NCERT solutions, past years’ papers, etc., to help Class 12 students in preparing well for the exam.

The Central Board of Secondary Education (CBSE) is an educational board developed by the Ministry of Education. It works on a national level. CBSE Board conducts the final exams of Class 10 and Class 12 students every year. Most of the entrance exams for colleges in India follow the CBSE syllabus. The syllabus is followed in most of the private and public schools in India. Students of all classes are advised to follow the CBSE syllabus while learning the subject to save time and effort.

The Central Board of Secondary Education conducts and manages the examinations of Class 12 students. Class 12 students need to enhance their ongoing preparations for the board exams. Each subject is crucial for scoring higher marks in the CBSE Board Class 12 Exams. Students should concentrate on learning all the topics and subtopics of a subject while preparing for the board exams. Students are supposed to make use of the NCERT Solutions Class 12 Maths Chapter 13 In Hindi to enhance their ability to solve mathematical problems.

To solve the exercise questions of Class 12 Chapter 13, students can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students of Class 12 can access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application in PDF format.

The Central Board of Secondary Education has prescribed NCERT textbooks for all the subjects in all the classes.These textbooks are the primary source of learning the Class 12 Mathematics topics. Also, the NCERT textbooks should be referred to again and again for clearing the concepts of Class 12 Mathematics. Students can enhance their preparation level for the Mathematics exam with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. It is important to learn to manage time while preparing for the Class 12 Mathematics exam.All the students in Class 12 are advised to keep a record of all the topics that they have covered and plan a strategy for learning the remaining topics. Students can learn to manage time with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are available for students to download in PDF format. Students must download the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application in PDF format. It is necessary to get a thorough understanding of the topics before practising the exercises of Class 12 Mathematics. All the exercise questions need to be solved in a detailed manner for you to score higher in the boardexams. All the topics of Chapter 13 are important from the board exam perspective. Students need to get well versed in the topics of Chapter 13 in order to solve exercise questions in an efficient manner. All the questions in the miscellaneous exercise are important, and they should also be practised by the students. The topic of chapter 13 is Probability.

Students need to learn all the topics of Chapter 13 and take note of all the important points from the chapter. Many of the questions given in the exercises can be difficult to solve. To gain a deeper understanding of the topics, students are encouraged to practise them regularly. Knowledge of topics is crucial for solving the exercise questions. Students are advised to make use of the NCERT solutions for getting accurate answers to the questions. The Class 12 students of the Central Board of Secondary Education can access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in order to solve Chapter 13 exercises. Students may face difficulties in finding the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. The Extramarks website and mobile application have the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in PDF format.

Students can access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi and carry on with their exam preparation of Mathematics. They can refer to these NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in offline mode as well.

Understanding Mathematics concepts can be difficult for students. Exercise 13.1 is based on the Conditional Probability topic. Students are advised to learn each of the properties in detail to be able to solve the questions based on them. They are expected to solve the exercise questions for getting more clarity on the Conditional Probability topic. Students having difficulty in solving Exercise 13.1 can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. All the questions related to Conditional Probability can be solved with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Students must access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application in PDF format.

The National Council of Educational Research and Training was founded by the Indian Government for supporting an equal standard of education that can be followed all over India. The NCERT provides coursebooks for all the classes of the Central Board of Secondary Education (CBSE). Thus, NCERT is the only body that has the authority of releasing the CBSE Board textbooks. The vision of NCERT is to enable all students to get an easy and standardised learning experience in all subjects. All the CBSE Board schools in India are required to follow the prescribed syllabus of NCERT for learning the subjects. Some of the state boards also follow the NCERT syllabus in their curriculum. The NCERT also conducts research in the field of school education. It puts forth necessary changes in school-based learning for providing better opportunities to the students. All the innovative ideas of NCERT are regulated in many schools in India. Moreover, it is also responsible for conducting and managing the training of school teachers in primary and secondary schools. NCERT works in correlation with the educational departments of different states and universities.The NCERT evaluates textbooks prepared by various organisations in order to maintain the standard.For effective management, NCERT has many constituent units operating in various Indian states.

Mathematics is an important subject in the 12th-grade curriculum. Many of the students find it challenging to learn Mathematics concepts. To study Mathematics concepts, it is important to make use of online resources for studying each of the topics in an efficient manner. It is necessary to concentrate on the topics while reading the NCERT textbooks. All the students of Class 12 are advised to keep practising the exercise questions of the Mathematics chapters to build confidence. Students can get the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi for building confidence in practising exercise questions. All the important formulae and concepts can be easily understood with the help of NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.To practise the mathematics questions, it is necessary to learn problem-solving skills.

Students can learn to solve problems efficiently with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students of the Class 12 Central Board of Secondary Education can access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application.

They are advised to keep learning the concepts of each of the subjects to be able to practise answering questions based on them. Students must keep assessing their exam preparation in order to make improvements in the learning approach for each subject. The syllabus of Class 12 is very comprehensive, and students need to keep revising the topics from time to time.

Extramarks allow students to enhance their learning experienceAll the study materials essential for scoring higher marks in the exams are made available on the Extramarks website and mobile application. They can also attend live lectures for all the subjects on Extramarks. These live lectures are conducted by expert teachers from India, and students from any background can learn from them. Extramarks helps students in dealing with the doubts and confusions that arise during their exam preparation.

Students can get their problems solved by the in-house teachers at Extramarks. Extramarks faculty members are always available to address student concernsExtramarks focuses on concept building through video modules. These modules are developed by highly qualified teachers from all over India. Extramarks is being trusted by more than 10000 schools from all over India. It provides a platform for connecting learners and teachers.With the help of Extramarks, all the students can develop the concepts of the subjects in an interactive manner. Students can get reliable and trustworthy study materials from the Extramarks website and mobile application. Students can make use of the Extramarks learning platform to study subjects according to their own convenience.

Having said that, Extramarks has study materials for all subjects of ICSE, CBSE and other major state boards. Extramarks also assist students in self-evaluating their learning process.Students can test their knowledge of a subject by attempting tests that have progressive difficulty levels. They can also attempt multiple choice questions and mock tests for each chapter of a subject on the Extramarks learning platform. Extramarks also generates personalised reports and analysis that are helpful in guiding students to improve their learning process.

All the topics of Class 12 Mathematics are important from the board exam perspective. Students need to revise the chapters of Mathematics from time to time in order to be prepared for the board exam. Students having difficulties in solving the exercise questions of Chapter 13 are advised to access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. The topics of the Probability chapter need to be consistently revised for getting clarity of the concepts. Students need to develop a study plan for learning the topics of Class 12 Mathematics efficiently. Students of Class 12 need to include the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in their study timetable for practising the exercise problems of Chapter 13.

One of the important topics of Chapter 13 is Independent Events. It is crucial to understand the meaning of Independent Events in order to solve the questions based on it. Exercise 13. 2 has some questions based on the Independent Events topic. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are effective for solving questions asked on the basis of Independent Events topic. The exercise problems specific to a topic need to be practised at once after getting well versed with the concepts of a topic. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in practising questions specific to a topic in Class 12 Mathematics.

Students can also make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi for revising the formulae, definitions, theorems, etc., specific to the topics of Chapter 13. All the topics of the Probability chapter can be reviewed with the assistance of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Students belonging to Class 12 must enhance their ongoing preparation for the board exam of Mathematics in order to score higher marks in the board exam. They are advised to get used to solving problems to prepare well for the Mathematics exam. All the topics and subtopics of Class 12 should be consistently practised for better understanding.

Students must refer to all the study materials while preparing for the board exam of Mathematics. Class 12 students of the Central Board of Secondary Education must rely on NCERT textbooks for learning the concepts of Class 12 Mathematics.NCERT textbooks assist students in developing a solid understanding of fundamental concepts. The entrance exams for Engineering, Medical, and even UPSC follow the standard of NCERT books.

Students can obtain the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application in PDF format. They need to make use of the right study materials when preparing for exams. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are useful resources for preparing well for the exam.

Class 12 students can kick start their preparation level with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students can find the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi on the Extramarks website and mobile application in PDF format.

Mathematics is considered one of the main subjects in Class 12. Students should refer to the NCERT textbooks for building the fundamentals of Mathematics. After learning the fundamentals, it is important to solve the exercise problems given in between the chapters. Students facing challenges in solving exercise questions of the Probability chapter can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. It is crucial to ascertain the weaker areas in a subject to understand where one is lacking. Class 12 students can get an idea of their weaker areas in Mathematics with the assistance of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

All the solutions for each exercise in Chapter 13 are given in the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi to help the students understand probability topics in detail. Probability topics in detail.

Chapter 13 is one of the crucial chapters in Class 12 Mathematics. It is important to get familiar with all the points of the chapter. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi can help students in getting well versed with the Probability topics. All the solutions of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are given in easy and simple language for students to easily understand them.

Students can solve questions related to various topics of Chapter 13 by utilising the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. It is important to learn the basics of the chapters in order to prepare them effectively. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi also explains the concepts specific to the questions of exercise questions. The solutions of NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in revising the concepts of Chapter 13.

Students of Class 12 Central Board of Secondary Education (CBSE) can access very reliable and authentic solutions for NCERT problems from the Extramarks website and mobile application. All the solutions are available in PDF format for easy reference. They can download exercise-wise solutions for Mathematics from Extramarks. Each of the solutions is given in an easy and understandable format.

Each student has a unique learning style. Some of the students may not get the right guidance in a classroom setting. They are advised to make use of those online resources that suit their learning style and prepare for their exams. To ensure that the exam preparation is on track, students must get study resources from reliable sources. With the use of online resources, students can boost their self-study. It is true that internet learning resources cannot completely replace conventional learning techniques. With the aid of technology and the internet, students from any financial background can easily access study resources nowadays. Combining conventional teaching methods with online techniques can give students new learning chances. With the use of online learning platforms, students from remote areas can access course materials.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are beneficial for boosting the writing speed of Class 12 students. Students can improve their knowledge of Probability concepts with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

It is crucial to learn the proper method of solving a problem in Mathematics. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi is beneficial in learning to solve questions through the best methods. Each of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are given in a point-wise manner for easy understanding. Students can improve their own solutions with the help of NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

The Central Board of Secondary Education (CBSE) allows Class 12 students to study subjects in Hindi.. All the topics and subtopics can be learned with the help of Hindi NCERT textbooks. Students belonging to the Hindi medium can access all the essential study materials from the Extramarks website and mobile application.

All the resources on the Extramarks website and mobile application are regularly updated and checked for any errors from time to time.

The questions in Exercise 13.2 are asked on the basis of the Multiplication Theorem on Probability. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are beneficial for solving the questions related to the Multiplication Theorem on Probability. Students can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi for getting step-wise solutions for Exercise 13.2 problems. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are available on the Extramarks website and mobile application in PDF format.

Students having problems in finding reliable NCERT Solutions For Class 12 Maths Chapter 13 In Hindi can access them on the Extramarks website and mobile application. Many of the questions of Exercise 13.2 are crucial from the board exam perspective and it is necessary to practise them from time to time. Students can practise the questions of Exercise 13.2 with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students are advised to list difficult questions from Exercise 13.2 and practice them more frequently. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in getting detailed solutions to the difficult question of Exercise 13.2. Students of Class 12 can also access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application.

All the concepts in the Probability chapter are beneficial for preparing students to make important decisions in their lives. Students can enhance their ability to analyse by applying thefundamental concepts of Chapter 13. They will be able to think logically about a situation and make decisions after learning the concepts of Probability.

Students belonging to the Hindi medium must download the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are very useful resources for solving exercise questions of Chapter 13. Students need to study all the concepts of Chapter 13 in order to solve the questions given in the miscellaneous exercise. The questions asked in the miscellaneous exercise are based on the complete Probability chapter. Students having difficulty in practising the problems given in the miscellaneous exercise can get help from the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Some questions asked in Chapter 13 are important from the exam’s point of view. Students can access important questions about Chapter 13 from the Extramarks website and mobile application. Students in Class 12 can use the important questions to help them score higher in the mathematics exam.The students can practise the important questions of Chapter 13 by using the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Accessing the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi has various benefits. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi gives the right guidance to students for solving exercise questions. All the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are designed by some of the best teachers of Mathematics in India.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are beneficial for explaining complex concepts in a simple way. Students can break down complex problems of the Probability chapter into small steps with the assistance of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

They are advised to keep referring to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi during the Mathematics exam preparation. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are beneficial for scoring higher marks in the Mathematics exam.

Students are expected to go through the solved examples given in the NCERT textbook for improving their understanding of Chapter 13. In the NCERT textbook Mathematics, all the questions are not explained with a proper solution. Students can solve those problems with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. They can find a proper explanation of exercise questions of Chapter 13 in the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Calculation speed is significant for getting quick solutions to mathematical problems. Students are advised to increase their calculation speed to obtain higher marks in the Mathematics exam. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful for improving the calculation speed of Class 12 students. All the questions of the Exercise 13.3 are crucial for improving the understanding of the Probability chapter topics. The questions asked in Exercise 13.3 on the basis of Bayes’ Theorem topic can be difficult to solve for some students. It is advisable to make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi to solve the questions related to Bayes’ Theorem topic.

Exercise 13.3 also comprises problems based on the Theorem of Total Probability. Students can learn to apply the Theorem of Total Probability by solving the questions of Exercise 13.3 consistently. They can solve questions related to the Theorem of Total Probability with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi give proper guidance for applying the correct theorems while solving questions.

Students searching for authentic and reliable study resources for preparing for the Mathematics exam can get help from Extramarks’ learning platform. All the resources available on the Extramarks website and mobile application are helpful in increasing the learning capacity of the students. Students can get help from Extramarks in order to prepare effectively for the various competitive exams like JEE, NEET, CUET, etc. Students must set personal objectives for themselves and work to fulfil them within the allotted period. Examination results are crucial in assessing students’ potential.

To do well in the Mathematics exam, students must review the relevant concepts. They should occasionally practise all the chapter-related exercise problems. It is essential to acquire the most recent CBSE Mathematics syllabus if they want to fully comprehend all the topics presented in Class 12 Mathematics. The curriculum aids in developing a solid understanding of every subject that will be addressed in the exam. The syllabus is also necessary for creating a well-organized study schedule for the board exam.

To familiarise students with the types of questions that have appeared in the board exams of Mathematics, practising the sample papers and past years’ papers is important. The chapters should be studied from the standpoint of the board exam. To effectively prepare for the Mathematics board exam, students must have access to study materials from reliable sources. For Class 12 students, live lectures on all subjects are available on the Extramarks website and mobile application. With the aid of live lectures from Extramarks, it is simple to comprehend all the topics of a course. The teachers at Extramarks are all extremely skilled and knowledgeable.

All the subjects in Class 12 have different requirements. To learn each subject effectively, a unique plan must be devised. Students must make a detailed study plan for learning Mathematics as well. The latest syllabus of Mathematics is helpful in creating the study plan for Class 12 Mathematics. They can access the syllabus of Mathematics from the official website of NCERT and start their preparation. The latest syllabus of Class 12 subjects can also be accessed from the Extramarks website and mobile application. The syllabus is helpful in getting an overview of all the subject topics. The students are advised to learn the chapters of a subject according to the syllabus to be on the right track for exam preparation.

It is necessary to make a thorough list of all the topics with a higher weight to prepare well for the board exam in Mathematics.While preparing for the Mathematics exam, students are advised to keep referring to the list of topics that carry more weightage. All the topics of Class 11 are essential for learning the concepts in Class 12. Students need to recall the concepts learned in Class 11 for studying the topics of Class 12 in an efficient manner.

Students are advised to keep practising the sample papers and past years’ papers of Mathematics in order to score higher marks in the Mathematics exam. The past years’ papers are helpful in acknowledging the paper pattern and marking scheme of Mathematics. Students belonging to Class 12 can access the sample papers of Mathematics from the Extramarks website and mobile application. The past years’ papers of Mathematics are also available on the Extramarks website and mobile application.

Probability topics have many applications in fields other than Mathematics. In weather forecasting, Probability topics play a vital role. The concepts and formulas of Probability are also applied in sports and gaming, online shopping, buying or selling insurance, etc.

Students in Class 12 need to keep revising the Probability topics for a better understanding of the concepts. It is necessary to keep reading the topics and subtopics from the NCERT textbook. Class 12 students of the Central Board of Secondary Education should refer to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi while preparing for the board exam of Mathematics. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are very helpful for analysing the understanding of the Chapter 13 concepts. All the questions asked on the basis of the Independent Events topic can be easily solved with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Students of Class 12 can also access NCERT solutions for other subjects in addition to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. They can learn to solve a variety of questions by utilising the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students need to understand all the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in order to frame their own solutions for the questions. All the concepts of Chapter 13 become more straightforward with the assistance of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Going through these NCERT Solutions For Class 12 Maths Chapter 13 In Hindi is helpful in knowing the right method of approaching questions. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in being consistent with the board exam preparation of Mathematics. In order to score higher marks in Mathematics, it is necessary to get hands-on with the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are designed to build a strong foundation for the concepts of the Probability chapter.

The topics covered in Class 12 Mathematics are essential for building the foundation for some of the competitive exams like JEE Mains, JEE Advance, NEET, CUET, etc. The knowledge of Class 12 subjects is beneficial for making careers in many fields of study. Students are advised to learn the topics one by one for a better understanding of the concepts. The chapters of Class 12 Mathematics are crucial for learning the topics of the Joint Entrance Exam (JEE) syllabus.

Students of Class 12 can prepare well for various government jobs with the knowledge gained in their Class 12 subjects.

Students aiming to prepare for the UPSC CSE exams need to learn the topics of Class 12 in detail.

The marks obtained in Class 12 are also beneficial for getting jobs in many multinational companies. Students are advised to keep a record of their progress when studying a subject like Mathematics. The concepts covered in Class 12 Mathematics are very broad, and they require a considerable amount of time to get familiar with.Students must devote more time to topics that carry more weight. The questions related to the topics with higher weightage need to be practised again and again.

The questions given in Exercise 13.4 can be easily solved with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Exercise 13.4 questions are framed from the Random Variables and its Probability distributions topic. Students are advised to make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in order to get exact solutions to Exercise 13.4 questions. Students enrolled in Class 12 of the Central Board of Secondary Education are required to refer to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi on a regular basis to enhance their understanding of Chapter 13 concepts. All the concepts of Chapter 13 are beneficial for building logical reasoning abilities among the students.

Some questions of Exercise 13.4 are asked on the topic of the Mean of a Random Variable topic. It is important to understand the definition given in the topic before practising the questions. Students having difficulty in solving questions related to the Mean of a Random Variable topic can get the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students can learn to practise questions of Exercise 13.4 by using the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Students who are having difficulty solving the probability chapter’s exercise problems should consult the NCERT Solutions for Class 12 Maths Chapter 13 in Hindi.Exercise 13.5 questions are based on the topics of Bernoulli Trials and Binomial Distribution. Students need to practise Exercise 13.5 to improve their understanding of Bernoulli Trials and Binomial Distribution. Students can use the NCERT Solutions for Class 12 Maths Chapter 13 in Hindi to answer questions about this topic.

Question 4 of Exercise 13.2 requires students to find out if the given events are independent or not. Students can solve question 4 of Exercise 13.2 with the assistance of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students belonging to Class 12 need to develop an understanding of topics so that they can easily get solutions to their questions.

The NCERT Solutions for Class 12 Maths Chapter 13 in Hindi can also be used to solve questions from previous years’ mathematics papers.It is crucial to develop a habit of solving questions to learn the Mathematics chapters effectively.

The Central Board of Secondary Education (CBSE) has a well-structured exam pattern. The CBSE Board is preferred by many students in India. The subjects learned in each of the classes are structured in a way that develops knowledge of concepts gradually among the students. The CBSE Board’s syllabus is very comprehensive for each of the subjects.

Question 15 of Exercise 13.4 asks students to find the conditional probability of an event. For question 15, students must recall the definition of conditional probability.Students can easily solve question 15 of Exercise 13.4 with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Class 12 students can also revise the definition and properties of Conditional Probability by using the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students need to get used to solving questions based on the Conditional Probability topic in order to score well in the board exam of Mathematics. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are beneficial for solving questions related to the Conditional Probability topic. Students can find the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi on Extramarks.

Probability has many applications in different fields of study. Understanding Probability is helpful in predicting how future events may turn out. Probability concepts are used by Meteorologists for the prediction of rain. Question 7 of Exercise 13.4 requires students to find the probability distribution of a random variable. It can be difficult to solve question 7 of Exercise 13.4 for some students. Students are advised to get the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in order to solve questions based on finding the probability distribution of a random variable. Class 12 students can access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from Extramarks in PDF format.

Exercise 13.4 has questions related to finding the Variance of a Random Variable.

Students can get easy, step-by-step solutions to exercise 13.4 to find the Variance of Random Variable problems with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. The students are advised to list all the difficult questions in Exercise 13.4 and practise them more frequently. Exercise 13.4’s difficult questions can be solved using the NCERT Solutions for Class 12 Maths Chapter 13 in Hindi.

Students are advised to access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application. Exercise 13.4 comprises some of the important questions that can be asked in the Mathematics exam. Students need to practise the questions of Exercise 13.4 on a regular basis. It is important to access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi while practising Exercise 13.4 questions.

The derivations are critical for understanding the topics of Mathematics. Students should focus on learning the derivations of the Probability chapter in order to improve their understanding of the concepts. Focusing on the derivations is helpful in practising exercise questions, and students are able to retain formulae for a longer time in their memory. All the derivations of Probability topics can be easily revised with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Most of the chapters in Mathematics are based on past chapters. Therefore, it becomes necessary to recall the concepts of past classes while starting to prepare new chapters in Mathematics. Students of Class 12 are supposed to keep revising the basics in order to solve questions in Mathematics chapters.Probability is one of the essential topics in Class 12 Mathematics, and students need to focus on solving the chapter’s exercises to score higher in the board exam.

Students who are having trouble answering the questions in Exercise 13.4 are encouraged to consult the NCERT Solutions for Class 12 Maths Chapter 13 in Hindi.

The Theorem of Total Probability is one of the crucial topics of Chapter 13 in Class 12 Mathematics. It is important to go through the proof of the Theorem of Total Probability to understand the theorem in detail. Questions related to the Theorem of Total Probability can be solved with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

Exercise 13.2 consists of questions that require students of Class 12 to find the probability of a particular event. The questions related to finding the probability of a particular event can be solved by utilising the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students must practise the questions related to Bayes’ Theorem on a regular basis to get higher marks in the Mathematics exam. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in solving the questions based on Bayes’ Theorem. To practice the questions asked on the Bayes’ Theorem, students of Hindi medium can download the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from Extramarks.

Students must revise the topics of Mathematics in order to perform well in the Mathematics exam. All the exercise problems related to chapters should be practised from time to time. To get a thorough understanding of all the topics covered in Class 12 Mathematics, it is crucial to access the latest CBSE syllabus of Mathematics. The syllabus is helpful in getting a thorough understanding of all the topics to be covered for the exam. The syllabus is also essential for developing an organised study plan for the Mathematics exam.

Students need to set goals for themselves and try to achieve them within the stipulated time. Examinations play an important role in determining the abilities of students. Each test is beneficial for improving the knowledge of students in a subject. Mathematics at the Class 12 level consists of detailed topics that need to be revised again and again. Students need to focus on learning each and every topic from the exam’s point of view. Students can give mock tests for testing their knowledge of a particular chapter. They can attempt various mock tests for Mathematics on the Extramarks website and mobile application. These mock tests are helpful in boosting the confidence of students for the upcoming board exam of Mathematics.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi can be used to answer all the questions in the Probability chapter. To do well in the Mathematics exam, students must review the necessary concepts at regular intervals. Students should frequently practise all of the chapter-related exercise problems. It is essential to acquire the most recent CBSE Mathematics syllabus if students want to properly understand all the topics covered in Class 12 Mathematics. The syllabus aids in getting a quick review of every topic that is going to be asked in the exam. The syllabus is also necessary for creating a well-organized study schedule for the Mathematics exam.

It is recommended that students of Class 12 make use of the revision notes for revising the topics and subtopics of all the chapters. The revision notes are useful for quickly revising the concepts of Mathematics. It is critical to practise sample papers and previous years’ papers in mathematics to become familiar with the types of questions that have been asked in mathematics board exams.All the students are advised to learn the chapters from the board exam perspective. It is necessary for the students to access study materials from credible sources to prepare effectively for the board exam in Mathematics. The Extramarks website and mobile application have live lectures on all subjects to enhance the learning experience of Class 12 students. All the topics of a subject can be easily understood with the help of Extramarks’ live lectures. All the teachers at Extramarks are very qualified and experienced, which helps in clarifying the doubts of students.

Extramarks is a learning platform dedicated to providing all students with the highest quality learning experience possible.

Students belonging to the CBSE, ICSE, and other major state boards can access study materials from the Extramarks website and mobile application. It is necessary to keep a record of all the topics that have been learned to analyse the preparation level of Mathematics.

**NCERT Solutions for Class 12 Maths Chapter 13 Probability In Hindi PDF download**

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are accessible on the Extramarks website and mobile application in PDF format. All the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are designed by expert teachers of Mathematics.

**Access NCERT Solutions for Mathematics Chapter 13 – प्रायिकता**

All the questions of the Probability chapter can be solved with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

**NCERT Solutions for Class 12 Maths Chapter 13 Probability In Hindi**

The NCERT Solutions are available for all the classes of the Central Board of Secondary Education (CBSE) on the Extramarks website and mobile application. The students of Class 12 can access NCERT Solutions Class 12 for all subjects and boost their exam preparation level. It is necessary for Class 11 students to practice exercises while studying chapters of a subject. The NCERT Solutions Class 11 for all the subjects are accessible on the Extramarks website and mobile application. The NCERT Solutions Class 10 for English, Mathematics, Hindi, etc., can be accessed from the Extramarks website and mobile application.

It is essential for the students to refer to the NCERT Solutions Class 9 while preparing for the final exams. Students of Class 8 need to practicse exercise questions regularly in order to score higher marks in the exams. All the Class 8 students can access the NCERT Solutions Class 8 from Extramarks.

All the topics of Class 7 Mathematics are important, and students need to focus on practising the exercise questions consistently. Students can make use of the NCERT Solutions Class 7 to get accurate answers to the questions given in the NCERT textbook of Mathematics. Students of Class 7 can also access NCERT solutions for other subjects than Mathematics from the Extramarks website and mobile application.

They should read the concepts regularly from the NCERT textbooks. It is advisable to

all the Class 6 students to access the NCERT Solutions Class 6 from Extramarks’ learning platform and prepare effectively for their exams. It is necessary for Class 6 to make use of the NCERT Solutions Class 6 to solve exercise questions of all the subjects. Students of Class 6 must download the NCERT Solutions Class 6 from the Extramarks website and mobile application. Students belonging to Class 5 can also download the NCERT Solutions Class 5 from the Extramarks learning platform.

Class 4 students are advised to get the help of the NCERT Solutions Class 4 in order to score higher marks in upcoming exams. All the students of Class 3 can access the NCERT Solutions Class 3 for English, Mathematics, Hindi, etc from the Extramarks website and mobile application. The NCERT Solutions Class 2 are also available on the Extramarks website and mobile application to help students of Class 2 in preparing for the exams. All the students belonging to Class 1 can download the NCERT Solutions Class 1 from Extramarks.

There are Hindi Medium students in the Central Board of Secondary Education (CBSE) as well. Class 12 Hindi medium students need to prepare well for the upcoming exams in order to score higher marks. Hindi Medium students can access all the study materials from Extramarks in the Hindi language. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are easily accessible on the Extramarks website and mobile application to help the students in Mathematics exam preparation. Students can get the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi to improve their understanding of the Probability Chapter.

To prepare for an exam successfully, it is necessary to download the study materials from authentic sources. Online resources are very helpful in self-study for students. It is true that traditional methods of learning can not be replaced by online education tools. Traditional methods of learning combined with online learning methods can provide new opportunities for learning for students. With the help of online learning platforms, students living in remote locations will be able to access study materials. Today, students of any financial background can easily access study materials with the help of technology and the internet. Students have their own style of learning. Students may not get the required experience according to their style of learning from classroom sessions. There are a variety of learning resources available online that suit the learning styles of all students.

Students need to understand the importance of learning subjects with the help of online resources. All the required study materials are available on the Extramarks website and mobile application to help students in learning their course subjects. The questions related to Bernoulli Trials and Binomial Distribution can be effortful to solve for the Class 12 students. All the questions asked in Exercise 13.5 are important from the exam point of view. Students must go through each of the questions of Exercise 13.5 and try to solve them one by one. Students can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi to get detailed solutions to the Exercise 13.5 questions. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi can be downloaded from the Extramarks website and mobile application in PDF format.

It can be beneficial for students to utilise Extramarks to improve their educational experience. On the Extramarks website and mobile application, students can access all the study materials required to get better exam results. On Extramarks, all of the subjects’ live lectures are accessible to the learners. Students from all backgrounds can benefit from the live lectures, which are led by Indian teachers who are experts in their fields. Students can get assistance from Extramarks in resolving questions and difficulties that come up as they prepare for exams. In addition, the Extramarks faculty is always available to assist students with their problems.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in building concepts of Chapter 13. Students can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi to get easy and step-wise solutions for all 5 exercises of the Probability chapter. Students can also get solutions for the miscellaneous exercise of Chapter 13 by accessing the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Class 12 students must download the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi from the Extramarks website and mobile application.

The benefits of NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are plenty. Students can get comprehensive solutions to Chapter 13 exercises with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students are supposed to access the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi for improving their knowledge of the Probability chapter. All the topics and subtopics of Chapter 13 can be easily practised with the help of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. Students are advised to keep practising the solved examples of Chapter 13 as well, for getting more clarity about the concept.

It is necessary to assess the exam preparation for Mathematics to make necessary adjustments in the learning schedule. They are advised to utilise the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in order to assess their learning process for the Mathematics exam. On Extramarks, students can access very reliable and authentic NCERT Solutions For Class 12 Maths Chapter 13 In Hindi. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are useful for improving the preparation level for the Mathematics exam.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi can help Class 12 students improve their answer-writing skillsAll the important topics of Chapter 13 can be practised well by making use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi.

It is necessary to start the board exam preparation as early as possible in order to get a significant revision of all the subjects’ topics. Scoring higher marks in Mathematics is necessary for improving the overall results of Class 12 students. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are very useful resources for scoring higher marks in the Mathematics exam. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi can be used for solving the exercise questions of Chapter 13.

Students from the Hindi medium can make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi in offline mode as well. They are advised to keep referring to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi during the revision sessions. All the students belonging to the Class 12 of the Central Board of Secondary Education are advised to practice the past years’ papers and sample papers of Mathematics to boost their confidence for the upcoming exams. All the study materials that are significant for getting higher marks in the Mathematics exam are available on the Extramarks website and mobile application. It is necessary to make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi for scoring higher marks in the Mathematics exam.

The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are helpful in boosting students’ confidence in Mathematics. Students are advised to make use of the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi to develop a strong hold on the fundamentals of Class 12 Mathematics. The NCERT Solutions For Class 12 Maths Chapter 13 In Hindi are prepared as per the latest syllabus of Mathematics.

Students should get registered with Extramarks to get access to various learning resources, quizzes etc. and score well with its Learn-Practice-Test pedagogy.

## Related Chapters

## FAQs (Frequently Asked Questions)

### 1. Where can a student get access to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi?

Students of Class 12 CBSE Board can access the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **from the Extramarks website and mobile application. The **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **are beneficial for enhancing the board exam preparation of Hindi medium students. Students can get solutions to all the exercise questions of Chapter 13 with the help of the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi**.

### 2. What are the topics and subtopics covered in Class 12 Mathematics?

Students are advised to refer to the latest syllabus of Class 12 Mathematics in order to know the topics and subtopics covered in Mathematics of CBSE Board. They can easily access the Mathematics syllabus from Extramarks.

### 3. Are the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi accessible in PDF format?

Class 12 students of the Central Board of Secondary Education can download the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi** from the Extramarks website and mobile application in PDF format. Students can make use of the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi** in offline mode as well, without having to worry about an internet connection.

### 4. What are the benefits of referring to the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi?

The **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **are helpful in boosting the ongoing preparation for the Mathematics exam. Students can score well in Mathematics with the help of the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi**. Class 12 students can get easy solutions to Chapter 13 problems by utilising the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi**. Students are able to learn the best methods of solving exercise problems by using the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi**. The **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **are beneficial for revising the concepts, formulae, theorems, etc., related to each of the questions.

### 5. Are the NCERT Solutions For Class 12 Maths Chapter 13 In Hindi available on Extramarks reliable?

The **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **are prepared by expert Mathematics teachers. Each of the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **is given in a simple and easy-to-understand format. Students can rely on the **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi** to get better results in the Mathematics exam.

### 6. How can students of Class 12 score higher marks in the Mathematics exam?

Students need to practise the exercise question on a regular basis to understand the concepts in depth. It is important to revise the concepts consistently. To score well in the Mathematics exam, students should keep referring to online resources from time to time. It is recommended that you practise the sample papers and previous years’ papers to get a sense of the types of questions that may appear on the Mathematics exam.The **NCERT Solutions For Class 12 Maths Chapter 13 In Hindi **should be used to enhance the problem-solving skills of students.