## NCERT Solutions for Class 12 Maths Chapter 13 Probability (Ex 13.3) Exercise 13.3

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.3 (Ex 13.3) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 12 Maths Chapter 13 Probability Exercise 13.3 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.

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Question 1: What is conditional probability?

Answer: Conditional probability of an event is defined as the likelihood of an event or outcome which is based on the occurrence of the previous event or outcome. For example the conditional probability of an event B is based on the knowledge that an event A has already occured. This probability is usually written as P (B/A) which is read as probability of B given A. In case both the events are not independent then the probability of intersection of both the events is equal to the product of the probability of previous event and conditional probability.

P(A&B) = P(A)P(B/A).

Question 2: What are the conditions for bernoulli trials?

Answer: Bernoulli trials are the trials of random experiment if they satisfy the following conditions:

The number of trials should be finite.

All the trials done should be independent.

Each trial must have only two outcomes. (i.e, success or failure).

The probability of success should be the same for each trial.

Question 3: What are the topics covered in class 12 maths chapter 13?

Answer: The chapter starts with the introduction of probability where the discovery of probability is discussed. Later, we get to know what conditional probability is and what are its properties. This is followed by the multiplication theorem on probability which leads to the discussion of independent events. We learn about Bayes theorem which is divided into smaller sections like partition of sample space and theorem of total probability. The chapter ends with probability distribution of random variables, mean of random variables, variance of random variables, Bernoulli's Trials and Binomial Distribution.

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Answer: NCERT solutions by Vedantu is prepared strictly according to the latest CBSE syllabus and it is in the most comprehensible form of the chapter containing all the important points and formulas. The subject matter experts prepared the NCERT solutions with an aim to make the learning process more convenient and fun.