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# NCERT Solutions for Class 12 Maths, Chapter 13 - Probability

‘Probability’ means the chances obtained of an event among a large number of
possibilities. In this chapter, you’ll study what ‘conditional probability of an event’ is,
given that another event has occurred. In NCERT Solutions for Class 12 Maths,
Chapter 13, you will learn about the Bayes’ theorem, multiplication rule of probability
and independence of events. We shall also learn an important concept of the random
variable and its probability distribution; and the mean and variance of the probability
distribution. The concept of Probability is very useful in real-life applications such as
weather forecasting, sports strategies, insurance, playing cards, voting, flipping a coin or
dice, and more.

## Let’s take a look at topics and sub-topics of Class 12 Maths, Chapter 13, Probability -

13.1 Introduction
13.2 Conditional Probability
13.3 Multiplication Theorem on Probability
13.4 Independent Events
13.5 Bayes’ Theorem
13.6 Random Variables and its Probability Distributions
13.7 Bernoulli Trials and Binomial Distribution

## In Class 12 Maths Chapter 13, one will learn –

Section 13.2 – In this section, you’ll learn about conditional probability and its
properties such as the conditional probability of E given that F has occurred.

Section 13.3 – In this section, you’ll study the multiplication rule of probability for
more than two events.

Section 13.4 – In this section, you will learn what independent events are and how
probability is found in such cases.

Section 13.5 – In this section, you’ll study how the famous mathematician, John Bayes
solved the problem of finding reverse probability by using conditional probability.
You’ll get in-depth knowledge about Bayes’ Theorem that got published posthumously,
in 1763.

Section 13.6 – In this section, you’ll study the probability distribution of a random
variable, mean of a random variable and variance of a random variable.

Section 13.7 – In this section, you’ll study about Bernoulli Trials and Binomial
Distribution.

For better understanding, examples & solutions are provided along with notes and
several activities. To know more about the Class 12 Maths Chapter 13 Probability, you should explore the exercises below. You can also download the Probability Class 12 NCERT Solutions PDF, solved by expert Maths trainers.

Also, solve Miscellaneous Exercises of Class 12 Maths Chapter 13 Probability.

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