 # NCERT Solutions class 12 Maths Exercise 13.1  View Notes

## NCERT Solutions for Class 12 Maths Chapter 13 Probability (Ex 13.1) Exercise 13.1

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.1 (Ex 13.1) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 12 Maths Chapter 13 Probability Exercise 13.1 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.

Q1: What is conditional probability? What are its types?

A1: Conditional Probability refers to the likelihood of an event or outcome occurring based on the occasion of a previous event or outcome. It simply means the next outcome is dependent on the previous outcome.

If A and B are two events with the same sample space of a random experiment, then the conditional probability of the event A gives that B has occurred, i.e. P(A|B) is, P(A|B) = P(A ∩ B)/P(B), provided P(B) ≠ 0.

Q2: What are the various properties of Conditional Probability?

A2: The different properties of Conditional Probability are mentioned below in detail :  Let A and B be events of a sample space S of an experiment, then;

• Property 1: P(S|B) = P(B|B) = 1

• Property 2: If E and F are two events in a sample space S and B is an event of S, such that P(B)≠0, then;

P((E ∪ F)|B) = P(E|B) + P(F|B) – P((E ∩ F)|B)

• Property 3: P(A′|B) = 1 − P(A|B)

Q3: What do you mean by Independent Events.

A3: Two experiments or events are said to be independent if for every pair of events A and B, where A is associated with the first experiment or event and B is associated with the second experiment or event, then the probability of the simultaneous occurrence of the events A and B when the two experiments are performed is the product of P(A) and P(B) calculated separately on the basis of two experiments, i.e.,

P (A ∩ B) = P (A) . P(B).

Q4: What are the topics covered in the class 12 maths chapter 13 exercise 13.1?

A4: The topics covered in the 12 maths chapter 13 exercise 13.1 are:

• Introduction: Basic sums for a better understanding of the concept.

• Conditional Probability: Sums related to the same.

• Properties of conditional probability: Problems related to the three properties of conditional probability.

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