NCERT Solutions For Class 11 Maths Chapter 16 Probability are provided at BYJU’S for all the questions enlisted under the chapter. These NCERT Solutions give the right kind of exposure to the students, which in turn, helps them to gauge their ability and improve their skills. These solutions are solved by BYJU’S experts in a simple and easy manner so that students can understand the concepts faster and remember for longer.
Probability can be defined as a measure of uncertainty of various events. This can be defined using two major types of theories namely classical theory of probability and statistical approach of probability. In Class 11 students can also learn the axiomatic approach to probability with suitable examples. We can see the application probability in many real-life activities. For example “it will probably rain today”, “chances are high that the prices of fuel will go up” “most probably, Kiran will join the army”, etc., NCERT Solutions cover all these types of applications to understand Probability in detail. Download NCERT Class 11 Maths Solutions to broaden your knowledge.
Access NCERT Solutions for Class 11 Maths Chapter 16 Probability
NCERT Solutions for Class 11 Maths Chapter 16 Probability – Exercises
The Chapter Probability deals with the general applications which we experience in our daily existence. This chapter contains 3 exercises and a miscellaneous exercise to make the students understand the concepts related to Probability in detail. The major topics and subtopics explained in Chapter 16 Probability of NCERT Solutions for Class 11 include:
A brief description of the definition of probability and related terms is provided under this section. In simple terms, the probability is the ratio of the number of outcomes favourable to the event, to the total number of outcomes. The related terms viz. experiment, sample space, events, outcomes and so on.
16.2- Random Experiments
16.2.1 Outcomes and sample space
Definition of random experiment subject to the required conditions and related terms are explained with examples such as tossing a coin and throwing a pair of dice so that students can easily grasp the concept.
16.3.1 Occurrence of an event
16.3.2 Types of events
16.3.3 Algebra of events
16.3.4 Mutually exclusive events
16.3.5 Exhaustive events
This topic has been explained with many examples and experiments to give a clear idea of the related terms and types of events. Algebra of events explains the intersection, union, difference and complement of events, etc.,
16.4 -Axiomatic Approach to Probability
16.4.1- Probability of an event
16.4.2- Probabilities of equally likely outcomes
16.4.3 Probability of the event ‘A or B’
16.4.4 Probability of event ‘not A’.
Another way of describing the probability of an event is the axiomatic approach. This is well explained in Class 11 Maths Chapter 16 of the NCERT curriculum. Also, there are many examples and practice problems available to understand the concept easily.
Exercise 16.1 Solutions : 16 Questions
Exercise 16.2 Solutions : 7 Questions
Exercise 16.3 Solutions : 21 Questions
Miscellaneous Exercise Solutions: 10 Questions
The summary of the concepts explained in the NCERT Solutions of BYJU’S are listed below:
- A set of all possible outcomes is called sample space
- Sample points are the elements of sample space
- A subset of the sample space is called an event
- Impossible event: The empty set
- Sure event: The whole sample space
- Complementary event or ‘not event’: The set A′ or S – A
- Event A or B: The set A ∪ B
- Event A and B: The set A ∩ B
- Event A and not B: The set A – B
- Mutually exclusive event: A and B are mutually exclusive if A ∩ B = φ
- Exhaustive and mutually exclusive events
Key Features of NCERT Solutions for Class 11 Maths Chapter 16 Probability
The solutions for Class 11 Maths NCERT questions provided by BYJU’S help the students to strengthen their basics. They also support in boosting their confidence level. All the solutions of NCERT textbook questions for Probability are a valuable aid for the students in their assignments and competitive exams. Also, the content is well-structured so that students cannot skip any point during their preparation.