NCERT Solutions for Class 11 Maths Chapter 16 PDF: In this article, we will provide you with detailed NCERT Solutions for Class 11 Maths Chapter 16. All the solutions provided here have been solved by experts at Embibe in order to help students secure good marks and crack their exams.
Detailed, step-by-step solutions for each and every question of NCERT Class 11 Maths Chapter 16 are provided here. Students can also download the NCERT Solutions for Class 11 Maths Probability PDF for free. These NCERT Solutions will help students prepare for their Class 11 exams as well as for competitive exams like JEE. So, go through the NCERT solutions for Class 11 Maths Chapter 16 – Probability now.
NCERT Solutions For Class 11 Maths Chapter 16
Before getting into the detailed NCERT Solutions for Class 11 Maths Chapter 16, let’s have a look at the different topics and subtopics included in this chapter:
|16.2.1||Outcomes and Sample Space|
|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|
|16.4||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’|
CBSE NCERT Solutions For Class 11 Maths Chapter 16: Probability Chapter Summary
Probability is a branch of mathematics belonging to algebra unit that deals with calculating the likelihood of a given event’s occurrence, which is expressed as a number between 1 and 0. Probability as a measure of the extent to which a phenomenon is likely to happen or be the case. For example, the probability of getting an even number in throwing dice as 3/6 i.e., 0.5. Here the total possible outcomes are 1,2,3,4,5 and 6 (six in number). The outcomes in favour of the event of ‘getting an even number’ are 2,4,6 (i.e., three in number).
In general, to obtain the probability of an event, we find the ratio of the number of outcomes favourable to the event, to the total number of equally likely outcomes. This theory of probability is known as the classical theory of probability. In this chapter, you will learn about the different concepts related to Probability. This is a high-weightage chapter for the exam.
Important Concepts: Conditional Probability, Baye’s Theorem, Law of total probability, Independent events, Random variable and its distribution, Binomial distribution, Poisson distribution.
How To Prepare For CBSE Class 11 Maths Probability?
Practising the problems is the only and best way to score higher in Mathematics. It is advised that you solve free Class 11 Maths Chapter 16 practice questions to make yourselves perfect in the chapter. Once you have finished the chapter and feel confident about it, take the free CBSE Class 11 Maths Chapter 16 mock test on Embibe. These chapter-wise tests are free and will give you a clear idea of how you can improve your scores.
Also, it is suggested that you solve the previous year papers and clear all your doubts then and there. Embibe has a forum called ASK where you can always post your exam related doubts and questions. The Embibe experts will clear all your doubts within 24 hours of time. With all these services provided to you make the best use of Embibe!
|NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 15||NCERT SOLUTIONS FOR CLASS 11 MATHS||NCERT SOLUTIONS FOR CLASS 12 MATHS|
CBSE Class 11 Maths Chapter 16 Important Questions
Maths is an important subject for engineering aspirants. If you are preparing for engineering entrance exams, like JEE Main and Advanced, BITSAT, etc., these important questions will help you in your exam preparations.
|1 Mark Important Questions From Probability|
- Three coins are tossed simultaneously list the sample space for the event.
- Two dice are thrown simultaneously. Find the problem of getting doublet.
- 20 cards are numbered from 1 to 20. One card is then drawn at random. What is the probability of a prime number?
- A letter is chosen at random from the word “Assassination” Find the probability that letter is a constant.
- 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining 3 diamonds and one spade?
|4 Mark Important Questions From Probability|
- A coin is tossed three times consider the following event
(a) No head appears,
(b) Exactly one head appears and
(c) At least two head appears do they form a set of mutually exclusive and exhaustive events.
- A and B are events such that P(A) = 0.42 P(B) = 0.48 and P(A and B) = 0.16 determine
(i) P (not A)
(ii) P (not B)
(iii) P (A or B)
- In a single throw of two dice, find the probability, that neither a doublet nor a total of 10 will appear.
- One card is drawn from a well-shuffled deck of 52 cards. If each outcome is equally likely to calculate the probability that the card will be.
(ii) Not an ace
(iii) A black card
(iv) Not a diamond
|6 Mark Important Questions From Probability|
- Three letters are dictated to three persons and an envelope is addressed to each of them, those letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.
- 20 cards are numbered from 1 to 20. One card is drawn at random what is the probability that the number on the card drawn is:
(i) A prime number
(ii) An odd number
(iii) A multiple of 5
(iv) Not divisible by 3
- In a single throw of three dice, find the probability of getting
(i) A total of 5
(ii) A total of at most 5
We hope this detailed article on CBSE NCERT Solutions for Class 11 Maths Chapter 16 – Probability helps you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 16, ask in the comment box below. We will get back to you at the earliest.288 Views