NCERT Solutions for Class 10 Maths Chapter 15 Probability (Ex 15.2) Exercise 15.2

Class 10, whether administered by the CBSE Board or another state board, is one of the most important classes in any student’s academic career.The students can get a lot of assistance with this from the NCERT Solutions Class 10 Probability Exercise 15.2. However, there are a few basic inquiries that students usually have regarding the board exams. Why is passing board examinations given such importance by everyone? Why are the board exams so feared? What makes board exams necessary? But board examinations are just more of the same kind of tests that students have been taking during their previous standards.

With the use of the resources on the Extramarks website, such as the NCERT Solutions Class 10 Probability Exercise 15.2 and many others, students may easily prepare for their Class 10 board examinations. The sole difference between other exams and the Class 10 board exams is that the latter are the first nationalised tests for students in this grade. If the tests are passed with good grades, a student’s academic and professional chances may improve. How well a student does on their board exams is also a sign of their sincerity and responsibility. With the aid of tools like the NCERT Solutions Class 10 Probability Exercise 15.2 found on the Extramarks website, the students can succeed.

Performance in the CBSE Class 10 exam is the main consideration in determining whether a student will be permitted to enrol in the preferred course for  Class 11. They can choose between the Science, Commerce, or humanities streams by using their grades in a particular course to gauge how interested or indifferent they are in that subject. Students in Class 10 can greatly benefit from the tools that Extramarks professionals have developed. The NCERT Solutions Class 10 Probability Exercise 15.2 is one of numerous tools of this type.

Class 10 kids are old enough to consider their options and choose the best decision. The track that kids choose to enrol in for Class 11 may ultimately impact their prospects of finding employment in the future. For instance, since Class 11 Mathematics is required for engineering, a student who wishes to work in that field must perform well on their Class 10 Mathematics exam. The NCERT Solutions Class 10 Probability Exercise 15.2 is one of the resources professionals have produced to assist with Class 10 Mathematics.

Results for Class 10 also show the students’ academic prowess.  If they are accepted into the higher secondary class of their choice, their Class 10 board exam results will be a key determining factor.The Class 10 results might also help students’ resumes. It highlights their success and academic performance.To effectively study for the board exams, the students are suggested to use the NCERT Solutions Class 10 Probability Exercise 15.2 and other aids of a similar nature.

Today, many prestigious organisations and colleges give the Class 10 grades a lot of consideration when choosing which students to admit. Therefore, a student’s achievement in the Class 10 exams may have an impact on their career. A student must also have passed the Class 10 board exams with the minimum required percentage or marks in order to apply for any admission test or scholarship programme that is offered after Class 10. The students should make the most of resources like the NCERT Solutions Class 10 Probability Exercise 15.2 created by Mathematics specialists at Extramarks to aid them in this endeavour as well.

The board exams for class 10 teach students how to handle pressure and anxiety. Exams for Class 10 assist students in developing a calm, strong mind by helping them to overcome examination tension and pressure. Once they have taken and passed the Class 10 tests, students may find that they are capable of taking and passing bigger and more challenging exams. Students can feel sure when taking their Class 10 board exams with the aid of resources like the NCERT Solutions Class 10 Probability Exercise 15.2.

The Class 10 exam has to be taken in a location outside of the students’ comfort zone. Due to the fact that the exam is designed and assessed by teachers outside of the students’ school, students have the opportunity to evaluate their performance more precisely.

When they can navigate an unexpected occurrence successfully, they acquire confidence for the future. Students can improve their performance in the board exams by consulting the tools produced by Extramarks specialists, such as the NCERT Solutions Class 10 Probability Exercise 15.2.

The Class 10 Board examinations provide assistance with Class 12 Board test preparation as well. After the Class 10 board examinations, the Class 12 board exams are the next most important exam. Students in Class 12 also have access to resources like the NCERT Solutions Class 10 Probability Exercise 15.2 for Class 12. Students in Class 10 can utilise their board examinations as a practise run for their Class 12 board examinations due to the similarities between the Class 10 and Class 12 board examinations. It is sufficient to prepare students for future exams and give them the confidence to take examinations, seating them with other new students, in a new school while being closely observed by the invigilators. The students may feel more confident and prepared to address the same situation when it occurs in Class 12 and other competitive exams in the future after they are familiar with the full method. Students can better study for Class 12 Mathematics by using the resources on the Extramarks website, similar to the NCERT Solutions Class 10 Probability Exercise 15.2.

Although the level of complexity in Class 12 might be higher than that in Class 10, having taken the Class 10 board exams will have familiarised the students with the material and given them more confidence to face Class 12, which will determine the direction of their academic career and ultimately affect career possibilities. Therefore, the students are advised to make use of the NCERT Solutions Class 10 Probability Exercise 15.2 and other such resources to help perform well in their Class 10 board Examinations.

Class 10 board examinations are national-level examinations, so they aid the students in figuring out where they stand among other students of their standard. The ideal test to determine a student’s knowledge and skills are the Class 10 board exams. It shows how they compare to not only their small group of peers but also to all Class 10 students across the country. The students are urged to take full advantage of resources like the NCERT Solutions Class 10 Probability Exercise 15.2 that are accessible on the Extramarks website if they want to perform among the top students.

A bad showing in the Class 10 board exam may be used as inspiration to perform better the next time since the Class 12 board exams are also conducted nationwide. A high performance in the Class 10 board exams may motivate the students to keep on making progress in the future. Their sense of success from scoring well on their board exams may eclipse their results on internal school tests as well. The NCERT Solutions Class 10 Probability Exercise 15.2 and other study aids are available on the Extramarks website for students to use in order to do well on the board exams.

Students should start really studying for the exams as soon as possible because they are aware of how crucial the Class 10 board exams are. Students should not let the situation scare or stress them out. It is essential for students to maintain composure and be focused. These, along with the  NCERT Solutions Class 10 Probability Exercise 15.2 can prove to be really beneficial for the students.

NCERT Solutions for Class 10 Maths Chapter 15 Probability (Ex 15.2) Exercise 15.2 

Students in Class 10 have access to a variety of helpful resources from NCERT, such as the NCERT Solutions Class 10 Probability Exercise 15.2. These have been created by subject-matter experts. The specialists are skilled professionals with considerable expertise in their specialised domains. Students may prepare for exams more easily with the use of tools like the NCERT Solutions Class 10 Probability Exercise 15.2. Students may simply access all of these resources, including the NCERT Solutions Class 10 Probability Exercise 15.2, on the Extramarks website.

Students preparing for their Class 10 board exams might benefit greatly from the NCERT Solutions Class 10 Probability Exercise 15.2 on the Extramarks website. Solutions to Class 10 Maths Chapter 15 exercise 15.2 are included here. Because the Probability Class 10 NCERT Solutions Exercise 15.2 is created by Mathematics specialists at Extramarks, the NCERT Solutions Class 10 Probability Exercise 15.2 are simple to obtainand the students may rely on them for their exam preparation. The Class 10 Maths Exercise 15.2 in Mathematics textbook deals with the subject of Probability. The Exercise 15.2 Class 10 is simply one of the many exercises in this chapter, which is broken up into numerous categories.NCERT Solutions for Class 10 Maths Chapter 15 Probability Exercise 15.2 H2 – NCERT Solutions for Class 10 Maths Chapter 15 Probability Exercise 15.2

On the Extramarks website, students can easily obtain the NCERT Solutions Class 10 Probability Exercise 15.2  All of the resources on the website, including the NCERT Solutions Class 10 Probability Exercise 15.2 are made to be user-friendly. They are easily accessible and understandable to students.The students can make use of the NCERT Solutions Class 10 Probability Exercise 15.2 and other resources for their independent study as they are easily understandable.

Chapter 15 is about Probability. Probability refers to potential. A random event’s occurrence is the subject matter of this study of Mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. Students can understand the potential outcomes of a random experiment using this fundamental theorem of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before one can calculate the likelihood that a specific event will occur.

The use of the resources available on the Extramarks website for this chapter like the NCERT Solutions Class 10 Probability Exercise 15.2 can make it easier for the students to understand this sometimes complex topic. The more the students spend time with tools like the NCERT Solutions Class 10 Probability Exercise 15.2, the higher their chances of gaining in-depth knowledge of the topic.

Mathematical Definition of Probability :

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, students can only make predictions about how probable an event is to happen, or its chance of happening. Probability can range from 0 to 1, with 0 denoting  impossibility and 1 denoting  certainty. For students in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject.

The students preparing for their Class 10 board examinations can benefit greatly from the NCERT Solutions Class 10 Probability Exercise 15.2. They can also find similar tools for other chapters of Class 10 Mathematics on the Extramarks website.

Probability as a concept has a significant role in daily life. This important idea is the foundation of statistical analysis. In actuality, probability serves as a stand-in for certainty in modern science. To better understand this, the students can access the NCERT Solutions Class 10 Probability Exercise 15.2.

Making predictions with the help of probability theory is very beneficial. Predictions and estimates play a significant role in research investigations. Students can create estimations using statistical techniques for the analysis. As a result, the theory of probability plays a significant role in statistical procedures.It is crucial for making decisions as well. It addresses planning, regulating, and the occurrence of accidents of all kinds.

It is one of the indispensable instruments for all formal research, including uncertainty. The notion of probability is used in all areas of science as well as in daily life, not just in the business and commercial world.

One must be familiar with probability theory before learning statistical decision processes.

The students are advised to make use of the tools prepared for Chapter 15 by the Mathematics experts at Extramarks for example the NCERT Solutions Class 10 Probability Exercise 15.2 .

FAQs on NCERT Solutions for Class 10 Maths Chapter 15 Probability

To further understand the topic of Probability the students can refer to different types of resources prepared by the experts at Extramarks. These resources include the NCERT Solutions Class 10 Probability Exercise 15.2 but they are not limited to just this. The more time students spend using tools like the NCERT Solutions Class 10 Probability Exercise 15.2 for practising, the better their chances are of getting a grasp of the topic.

Q.1 Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (iii) different days?

Ans

There are 5 days namely Tuesday, Wednesday, Thursday,Friday, Saturday.Shyam can go to the shop on any of the five days.Also, Ekta can go to the shop on any of the five days.So, total number of outcomes=5×5=25(i)Outcomes of visiting the shop on same day are (T, T), (W, W), (Th, Th), (F, F), (S, S). P(both will visit the shop on the same day)                                              =Number of favourable outcomesTotal number of outcomes                                               =525=15(ii)Outcomes of visiting the shop on consecutive days are (T, W), (W, Th), (Th, F), (F, S), (W, T), (Th, W), (F, Th), (S, F).Number of odd numbers=3∴P(both will visit on consecutive days)                                              =Number of favourable outcomesTotal number of outcomes                                               =825(iii)P(both will visit on different days)                                              =1−both will visit on the same day                                               =1−15=45

Q.2 A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws.

What is the probability that the total score is
(i) even? (ii) 6? (iii) at least 6?

Ans
The given table can be completed as below.

Total number of possible outcomes=6×6=36(i)Number of times when the total score is even=18 P(total score being even)                                              =Number of favourable outcomesTotal number of outcomes                                               =1836=12 (ii)Number of times when the total score is 6=4 P(total score being 6)                                              =Number of favourable outcomesTotal number of outcomes                                               =436=19(iii)Number of times when the total score is at least 6=15 P(total score being at least 6)                                              =Number of favourable outcomesTotal number of outcomes                                               =1536=512

Q.3 A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.

Ans

Let number of blue balls be n.Number of red balls=5Total number of balls in the bag=5+n P(drawing a red ball)                                              =Number of favourable outcomesTotal number of outcomes                                               =55+n           P(drawing a blue ball)=2×P(drawing a red ball)or                                           n5+n  =2×55+nor                                                   n  =10∴ Number of blue balls=10

Q.4 A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

Ans

Number of black balls=xTotal number of balls in the bag=12 P(drawing a black ball)                                              =Number of favourable outcomesTotal number of outcomes                                               =x12Now, 6 more black balls are putted in the box.∴Number of black balls=x+6Total number of balls in the bag=12+6=18           P(drawing a black ball)=2×x12or                                           x+618  =2×x12or                                                   x  =3

Q.5 A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3⋅ Find the number of blue marbles in the jar.

Ans

Let the number of green marbles=xTotal number of marbles in the jar=24 P(drawing a green marble)or                                        23  =Number of favourable outcomesTotal number of outcomesor                                        23  =x24or                                        x=16Number of blue marbles=24−x=24−16=8

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FAQs (Frequently Asked Questions)

Probability is one of those topics of Mathematics that are very closely related to the real world. The students can benefit a lot from the in-depth knowledge of this topic in their life beyond school education. The students can take help from tools like the NCERT Solutions Class 10 Probability Exercise 15.2 to understand and practice the topic efficiently.

Probability is crucial for weather forecasting, sports strategies, insurance and games etc. These are just very few examples of real world use and importance of Probability. Therefore the students should try to get a good grip at this topic. The students can make use of the NCERT Solutions Class 10 Probability Exercise 15.2 for this.