# NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.3 Probability

NCERT solutions for Class 11 maths Chapter 16 exercise 16.3 Probability addresses the axiomatic way of finding probability. In exercise 16.1 we dealt with sample space, and exercise 16.2, was only about events. In exercise 16.3, the questions now combine the knowledge of sample space and events with axioms of probability. This provides us with a list of questions that help us practice and also deepen our understanding of this axiomatic approach to probability.

The axiomatic theory of probability is based on the three pillars. The first being the probability of any event is either greater or equal to zero. Secondly, the probability of sample space itself is equal to 1, and third, for two mutually exclusive events A and B, P(A OR B ) = P(A) + P(B).

This NCERT solutions Class 11 maths Chapter 16 exercise 16.3 section has 21 questions of which the initial few questions are to establish the understanding that the sum of the probabilities of all individual elements in the sample space is always equal to one. Next, there are questions that require calculating the probabilities of different events, given the events could be mutually exclusive or mutually exclusive but exhaustive or event B, such that P(B) = 1 - P(A). The pdf of the exercise questions in the Class 11 maths NCERT solutions Chapter 16 exercise 16.3 is given below :

**ā** Download NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.3

**Exercise 16.3 Class 11 Chapter 16 **

### More Exercises in Class 11 Maths Chapter 16

- NCERT Solutions Class 11 Maths Chapter 16 Ex 16.1
- NCERT Solutions Class 11 Maths Chapter 16 Ex 16.2
- NCERT Solutions Class 11 Maths Chapter 16 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.3 Tips

NCERT Solutions Class 11 Maths Chapter 16 exercise 16.3 Probability is a rich introduction to the concepts of axiomatic probability and requires a clear understanding of three primary concepts, namely, sample space of an experiment, events of an experiment, and probability as a function whose domain is the sample space and the outcome of the function lies somewhere between 0 and 1.

NCERT Solutions Class 11 Maths Chapter 16 exercise 16.3 includes questions that are very creative, but the complexity of the problems is only in identifying the sample space and the events, which once done using the basic and simple axioms of probability is much simpler. The sums require careful reading as each introduces a new experiment, and we need to think of the possible outcomes. So it is advisable to focus on the wordings of the question and jot down the points which help us define the sample space. At any point, be mindful that probability should always be between 0 and 1, and hence if there is an answer of ours beyond this range, then we can know that the calculation needs to be revisited. The students can always refer to the highlights in the NCERT textbook to clear their doubts.

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