# NCERT Solutions for Class 10 Maths Chapter 15 Probability

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NCERT Solutions for Class 10 Maths Chapter 15 Probability-

In the last chapter of class 10, we deal with the probability. In Class 9th, we have studied empirical or experimental probabilities of events which are based on the results of actual experiments. This chapter introduces the theoretical probability (also called classical probability) of an event, and discuss simple questions based on this concept. In this chapter, there is a total of 2 exercises with 30 questions in them. The NCERT Solutions for Class 10 Maths Chapter 15 Probability are prepared and solved by our subject experts. These NCERT solutions are the step-by-step explanation of the NCERT textbook questions and these solutions help students in their preparation of CBSE Class 10 Board exam.

Probability deals with the occurrence of the random event. The value of probability is expressed between 0 and 1. This chapter is an important chapter for maths students and contains 2 exercises. Most of the questions of the two exercises are based on finding the probability of the situation of coins and dice. The NCERT Class 10 Maths Chapter 15 Probability starts with the theoretical approach of probability. Then the chapter explains the difference between theoretical probability and experimental probability, why the probability of a sure event is 1, probability of an impossible event is 0, complementary events, elementary events and finding the probability of different events.

## Important terms of NCERT Class 10 Maths Chapter 15 Probability-

Experimental (or empirical) probability- It is calculated when the actual problem or actual situation is performed as an experiment, in other words, it is a result of a repeating an experiment and observe its outcomes.

$P(E)=\frac{Number\: of\: trials\: in\: which\: the \:event\: happened}{Total \:number\: of\: trials}$

Example- a coin is tossed 10 times: a head is recorded 6 times and a tail is recorded 4 times.

$\\P(Head)=\frac{6}{10}\\\\P(tail)=\frac{4}{10}$

Theoretical (or classical) probability- Theoretical probability is what will happen on the based on certain assumption.  Mathematically it is defined as Number of favourable outcomes divided by the total number of possible outcomes.

$P(E)=\frac{Number\: of\: outcomes\: favourable\: to\: E}{Number \:of \:all\: possible\: outcomes\: of\: the\: experiment}$

Example- a coin is tossed

$\\P(Head)=\frac{1}{2}\\\\P(tail)=\frac{1}{2}$

## Topics of NCERT Grade 10 Maths Chapter 15 Probability-

15.1 Introduction

15.2 Probability — A Theoretical Approach

15.3 Summary

## The complete Solutions of NCERT Class 10 Mathematics Chapter 15 is provided below:

NCERT Solutions for Class 10 Maths Chapter 15 Probability - Exercise 15.1

NCERT Solutions for Class 10 Maths Chapter 15 Probability - Exercise 15.2

## NCERT Solutions for Class 10 Maths - Chapter-wise

 Chapter No. Chapter Name Chapter 1 Real Numbers Chapter 2 Polynomials Chapter 3 Pair of Linear Equations in Two Variables Chapter 4 Quadratic Equations Chapter 5 Arithmetic Progressions Chapter 6 Triangles Chapter 7 Coordinate Geometry Chapter 8 Introduction to Trigonometry Chapter 9 Some Applications of Trigonometry Chapter 10 Circles Chapter 11 Constructions Chapter 12 Areas Related to Circles Chapter 13 Surface Areas and Volumes Chapter 14 Statistics

## NCERT Solutions for Class 10 - Subject Wise

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