# NCERT Exemplar Class 11 Maths Chapter 16 Solutions: Probability

NCERT Exemplar Solutions for Class 11 Maths Chapter 16 explain the basic terms of probability such as random experiment, sample space, events, etc. Some of the main topics of the NCERT Exemplar Class 11 Maths problems for Chapter 16 include types of events, compound events, exhaustive events, mutually exclusive events, impossible and sure events, simple or elementary events, axiomatic approach to probability, and probabilities of equally likely outcomes.

NCERT Exemplar Class 11 Maths Problems and Solutions for Chapter 16 – Probability has 3 main exercises with a total of 58 questions. These exemplar solutions are important for you to get a good score in the Class 11 exam. All these exemplar problems are solved by the expert maths teacher at Instasolv. Referring to these solutions you will attain perfection in solving different kinds of questions easily.

Throughout this chapter of NCERT Exemplar Problems Class 11 Maths, the concepts are explained in a comprehensive and very simple manner. We have undergone thorough research to get accurate solutions for you. So, revising the chapter with the help of solutions provided by us will help you to perform better. Follow the solutions now!

## Important Topics for NCERT Maths Exemplar Solutions Class 11 Chapter 16 – Probability

**Probability**

Probability is the count of the uncertainty of different phenomena, numerically. It can consist of any positive value from 0 to 1. The words ‘doubt’, ‘probably’, ‘most probably’, ‘chances’, etc., used in the declarations above include an element of uncertainty.

**Random Experiment**

An experiment is considered to be a random experiment if there are more than one possible outcomes and it’s impossible to calculate the outcome in advance.

**Outcome**

All possible results of an experiment are known as its outcome.

**Kay Facts of Probability**

- An experiment of rolling a die. All possible outcomes are 1, 2, 3, 4, 5, or 6. The set of all these outcomes is represented as {6, 5, 4, 3, 2, 1} and is called the sample space.
- An experiment of tossing two coins. Since either coin can turn up Heads or Tails, so, all the possible outcomes are both Head (HH), both Tail (TT), Head and Tail (HT), Tail and Head (TH). Therefore, the sample space (S) can be denoted as {HT, TT, TH, HH,}.
- Let consider a random experiment, Let ‘S’ be the sample space. The ‘P’ is a real-valued function whose range is the power set of S and [0, 1] is the range interval.
- For any event X, P(X) ≥ 0
- P(S) = 1
- If X and Y are mutually exclusive events, then P(X ∪ Y = P(X) + P(Y)

**Events in Probability**

An event is a subset of S. An empty set is also considered as an impossible event. The set A′ is called the Complementary event.

### Exercise-wise Discussion of NCERT Maths Exemplar Solutions Class 11 Chapter 16 – Probability

NCERT Exemplar Class 11 Maths Chapter 16 – Probability consists of 3 exercises with a total of 58 questions in total. Here below, experts at Intsasolv have provided the exercise-wise discussion for all the problems in NCERT Exemplar Book for this chapter.

**Exercise 16.1 – Short Answer Type Questions**

Exercise 16.1 of Chapter 16 – Probability consists of a total of 11 short answer type questions. These questions are based on important topics including random experiment, sample space, events, etc. Practising these questions will help you clear your concepts on probability.

**Exercise 16.2 – Long Answer Type Questions**

This exercise consists of a total of 6 questions based on the types of events, compound event, exhaustive events, mutually exclusive event, impossible and sure events, simple or elementary event, axiomatic approach to probability, and probabilities of equally likely outcomes. They are long answer type questions where you will find detailed solutions to the problems.

**Exercise 16.3 – Objective Type Questions**

It is the last exercise of NCERT Exemplar Solutions Class 11 Chapter 16 and is considered a very important exercise from the entrance exam point of view. It contains a total of 29 questions including fill in the blanks, state true or false, or multiple-choice questions. Solving the questions of this exercise will help you understand how clear your concepts are.

## Why Use NCERT Maths Exemplar Solutions Class 11 Chapter 16 – Probability by Instasolv?

- NCERT Exemplar Class 11 Chapter Probability Maths Solutions by Instasolv offers you an appropriate understanding to deal with difficult questions.
- These solutions are systematically arranged for your quick learning and will help you save your time.
- The solutions for NCERT Exemplar Problems for CBSE Class 11 are available for free and can be accessed without any hassle.
- These exemplar solutions will not only help you in your exam preparation but also assist you in competitive exams.
- These solutions provide you with an idea about different types of questions asked in the CBSE and entrance exams and how to solve them.