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# NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.2 Probability - PDF Download

NCERT solutions for class 12 maths chapter 13 exercise 13.2 Probability has included questions based on multiplication theorem on probability and independent events. In ex 13.2 class 12 maths chapter 13, these topics play an essential role while solving questions hence it is important to have a deep understanding of these topics to score good marks in exams. Here, eSaral’s academic team of mathematics have prepared these solutions in a detailed and easy to comprehend manner that consider the latest syllabus and pattern. You can easily solve the questions asked in exams by going through these concepts provided on eSaral.

Class 12 maths chapter 13 exercise 13.2 NCERT solutions has a total of 18 questions that allow students to find the solution by applying multiplication theorem of probability and learn how to find independent events. You can solve these questions by grasping the concepts deeply that will help you solve questions asked in board exams. In order to comprehend the concepts and methods used in ex 13.2 class 12 maths ch 13, eSaral has provided NCERT solutions in PDF format. You can download these PDFs for free from eSaral website and start practicing all the questions of ex 13.2 for preparing exams.

## Topics Covered in Exercise 13.2 Class 12 Mathematics Questions

Ex 13.2 class 12 maths chapter 13 covers topics like multiplication theorem on probability and independent events. These topics are provided in detail here.

 1 Multiplication Theorem on Probability 2 Independent Events
1. Multiplication Theorem on Probability

Let E and F be two events associated with a sample space S. Clearly, the set E ∩ F denotes the event that both E and F have occurred. In other words, E ∩ F denotes the simultaneous occurrence of the events E and F. The event E ∩ F is also written as EF.

P(E ∩ F) = P(E) P(F|E)

The above result is called the multiplication rule of probability.

Multiplication rule of probability for more than two events If E, F and G are three events of sample space, we have

P(E ∩ F ∩ G) = P(E) P(F|E) P(G|(E ∩ F)) = P(E) P(F|E) P(G|EF)

1. Independent Events

If two events such that the probability of occurrence of one of them is not affected by occurrence of the other then such events are called independent events.

If two events E and F are said to be independent, then

P(E ∩ F) = P(E) . P (F)

## Tips for Solving Exercise 13.2 Class 12 Chapter 13 Probability

To solve questions related to multiplication theorems on probability and independent events, our subject experts have some useful tips that improve your learning.

1. You must be familiar with the concepts of dependent and independent events to solve questions of ex 13.2 class 12 maths chapter 13 Probability.

2. The examples are given before exercise 13.2 that you must solve for in-depth knowledge of concepts.

3. You must have a thorough understanding of previous exercise to solve questions of ex 13.2.

## Importance of Solving Ex 13.2 Class 12 Maths Chapter 13 Probability

NCERT solutions for class 12 maths chapter 13 ex 13.2 provides a lot of benefits of solving questions in ex 13.2. Here, we have provided some helpful benefits that you can check below.

1. NCERT solutions for ex 13.2 class 12 maths chapter 13 has explained all the topics related to multiplication theorem of probability that provided conceptual clarity for preparing board exams.

2. All the sums of ex 13.2 class 12 maths are solved in stepwise manner by expert teachers of eSaral.

3. You can revise the concepts and questions before exams by going through these solutions that will help you to be more confident in exams.

4. NCERT solutions provide accurate and precise answers for every question included in ex 13.2.