Class 11 students mostly refer to NCERT Solutions to have a better understanding of the concepts, so that they can perform well in board and competitive exams.
NCERT solutions make learning easy for students by putting out concepts in a simplified manner. Students can access the NCERT Solutions for all the subjects on Extramarks. The team of subject-matter experts has prepared the solutions strictly as per the syllabus and guidelines of CBSE.
NCERT Solutions for Class 11 Mathematics Chapter 16
If you are finding it difficult to understand Chapter 16 Class 11 Mathematics, you can look at the NCERT solutions provided by Extramarks.
Chapter 16 – Probability is an important topic from the exam point of view and it is important that the students prepare it thoroughly. This chapter is highly related to real-life events. The concept of probability is used by meteorologists for predicting the weather and conducting weather analysis.
NCERT Solutions for Class 11 Mathematics Chapter 16 – Probability
Chapter 16 Mathematics Class 11 is one of the simplest topics in the syllabus. Probability is beneficial for students not only in academics but also in practical life. Students from different fields can utilise the learnings in their day-to-day life and work smartly. Students can access the NCERT solutions class 11 Mathematics chapter 16 on Extramarks to clear their doubts and can practise the difficult topics to perform better in the Mathematics examination.
You can access solutions for all the questions available in the textbook through the link given below –
Access NCERT Solutions for Class-11 Mathematics Chapter 16 Probability
Class 11 Mathematics NCERT Solutions Chapter 16 will help you study the chapter anytime, anywhere irrespective of whether you have an internet connection or not. You can save a lot of time looking for accurate answers to all the questions given at the end of Chapter 16, as Class 11 NCERT Solutions by Extramarks covers them all.
Students can attempt the questions given at the end of Chapter 16, and check the NCERT Solutions for Chapter 16 Mathematics to ensure they are moving on the right track. In addition, access to NCERT solutions accelerates the pace of students in terms of scheduling and building a timeline for their exams. It will also help students in creating a base for their higher studies in the future.
NCERT Solutions for Class 11 Mathematics Chapter 16 – All Exercises
NCERT Solutions of Class 11 Mathematics Chapter 16
The NCERT solutions for Class 11 Mathematics Chapter 16 are prepared by teachers who have been in the field of education for a long time. With years of experience, they have tried to help students clear their base in Mathematics, and learn some simple and smart tips to save time.
A few of the topics that are covered in the Chapter 16 are Random Experiments, Outcomes and Sample Space, Events, Occurrence of an event, Types of events and much more.
The concept of probability solely depends on chances. It analyses the data to foresee the chances of an event happening.
The basics of these chapters are taught to students in earlier grades as well to let them get an understanding of the concept.
Types of Events
Impossible events – These are the events that are highly unlikely to occur for a given experiment. They are denoted by an empty set Φ. The chances of these events are almost null which is why they are called impossible events.
Simple or elementary event – These are the events that have every outcome of a random experiment. It has all the possible results that might occur from a random experiment.
Compound events: These events have a result with more than one outcome. In this event, there will be multiple outcomes that might occur from an experiment.
Complementary events: If there is an event A, the complement of A is the event that consists of all the sample space outcomes that do not correspond to the occurrence of A.
Mutually Exclusive Events: The possibility of any event excludes the possibility of the other event that is called a mutually exclusive event. If there are two events, A and B, and the occurrence of event A completely eliminates the possibility of event B then, A and B are said to be mutually exclusive events. It will be denoted as P(A ∩ B) = 0.
Let P and Q be two events. The probability formulas are listed below:
| All Probability Formulas List in Mathematics |
| Probability Range |
0 ≤ P(P) ≤ 1 |
| Rule of Addition |
P(P∪Q) = P(P) + P(Q) – P(P∩Q) |
| Rule of Complementary Events |
P(P’) + P(Q) = 1 |
| Disjoint Events |
P(P∩Q) = 0 |
| Independent Events |
P(P∩Q) = P(P) ⋅ P(Q) |
| Conditional Probability |
P(P | Q) = P(P∩Q) / P(Q) |
| Bayes Formula |
P(P | Q) = P(Q | P) ⋅ P(P) / P(Q) |
Let A and B are two events. The probability formulae are listed below:
Probability Range 0 ≤ P(P) ≤ 1
Rule of Addition P(P∪Q) = P(P) + P(Q) – P(P∩Q)
Rule of Complementary Events P(P’) + P(P) = 1
Disjoint Events P(P∩Q) = 0
Independent Events P(P∩Q) = P(P) ⋅ P(Q)
Conditional Probability P(P | Q) = P(P∩Q) / P(Q)
Bayes’ Theorem P(P | Q) = P(Q | P) ⋅ P(P) / P(Q)
NCERT Solutions For Class 11 Chapter 16 Probability Weightage Marks
The questions from Chapter 16 hold a weightage of 10 – 12 marks approximately. For students appearing for JEE, this chapter is more important as 2 -3 questions on probability are asked in JEE.
Benefits of Probability Class 11 NCERT Solutions
NCERT Solutions for Class 11 Chapter 16 Mathematics benefit students in many ways:
- Solutions will help students with their predictive analysis.
- Students can save a lot of their time instead of solving those complex problems.
Students can access solutions anytime, even when studying offline.
Related Questions
These related questions will help you gain an insight into what you can expect from the chapter. The questions require some intelligent understanding but if you have your concepts clear, you’ll find them easy to solve.