# NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3 Probability

NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.3 Probability explains the concept of applying Baye’s theorem in the topic of Probability. Bayes’ theorem states that the conditional probability of an event A, given the occurrence of another event B, is equal to the product of the likelihood of B, given A. Bayes’ formula to determine the probability of an event P(A|B) is given by [ P (B|A) x P(A) ] / P(B).

This section also covers the topic of partition of a sample space and the theorem of total probability. A set of events E_{1}, E_{2}, ..., E_{n} is said to represent a partition of the sample space S if they are pairwise disjoint, exhaustive, and have nonzero probabilities. The total probability theorem states that if A_{1}, A_{2}, A_{3} …… A_{n} are the partitions of the sample space S such that the probability of none of these events is equal to zero, then the probability of an event ‘E’ occurring in such a sample space is given by the sum of the probabilities of other events in the sample space. The sums provided in this exercise are majorly focused on imparting a clear understanding of applying these concepts and theorems.

The interactive illustrations incorporated in NCERT solutions Class 12 Maths Chapter 13 Exercise 13.3 are sufficient to gain a clear knowledge of this topic. There are a total of 14 questions provided in exercise 3 of Class 12 Maths NCERT Solutions Chapter 13 that describe a step-by-step understanding of the partition of a sample space and theorem of total probability. Students can clearly learn with these error-free solutions to bring out the best results in their annual exams. These solutions are also available in a scrollable PDF format given below.

**ā** Download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3

**Exercise 13.3 Class 12 Chapter 13 **

### More Exercises in Class 12 Maths Chapter 13

- NCERT Solutions Class 12 Maths Chapter 13 Ex 13.1
- NCERT Solutions Class 12 Maths Chapter 13 Ex 13.2
- NCERT Solutions Class 12 Maths Chapter 13 Ex 13.4
- NCERT Solutions Class 12 Maths Chapter 13 Ex 13.5
- NCERT Solutions Class 12 Maths Chapter 13 Miscellaneous Exercise

## NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3 Tips

NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.3 revolves around problems that are based on finding the probability using the theorem of total probability. Since there are a lot of such questions, students need to have a crystal clear understanding of this theorem, its derivation, and its application. This implies that kids should have a stronghold on the core concepts in order to solve this exercise.

Students are advised to solve all problems by themselves first to understand which topic needs more attention and improvement. This will also guide them to strategize their learning. Reading all the notes provided in the Class 12 Maths NCERT Solutions Chapter 13 and solving sample papers will prove beneficial in building the right approach for eliminating exam fear.

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