NCERT Solutions for Class 11 Maths Chapter 16 Probability

Probability Class 11 Maths NCERT Solutions are extremely helpful while doing your homework. NCERT Solutions for Class 11 Maths Chapter 16 Probability All Exercises were prepared by Experienced LearnCBSE.in Teachers.

Free download NCERT Solutions for Class 11 Maths Chapter 16 Probability Ex 16.1, Ex 16.2, Ex 16.3, and Miscellaneous Exercise PDF in in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, https://www.learncbse.in/ncert-solutions-for-class-11th-maths-chapter-16-probability/Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.

NCERT Solutions for Class 11Maths chapter 16 Exercise 16.1

EX 16.1 Class 11 Maths Question 1:

Describe the sample space for the indicated experiment: A coin is tossed three times.

Ans:

A coin has two faces: head (H) and tail (T).

Wehen a coin is tossed times, the total numbers of possible outcomes is 23 = 8

Thus, when a coin is tissed three, the sample space is given by:

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

EX 16.1 Class 11 Maths Question 2:

Describe the sample space for the indicated experiment: A die is thrown two times.

Ans:

When a die is thrown, the possible outcomes are 1, 2, 3, 4, 5, or 6.

Wehen a die is thrown two times, the sample space is given by S = {(x, y): x, y = 1, 2, 3, 4, 5, 6}

The number of elemets in this sample space is 6 x 6 = 36, while the sample space is given by:

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}

EX 16.1 Class 11 Maths Question 2:

Describe the sample space for the indicated experiment: A coin tossed four times.

Ans:

When a coin is tossed once, there are two possible outcomes: head (H) and tail (T).

Wehen a coin is tossed four times, the total number of possible out comes is 24 = 16

Thus, When a coin is tossed four times, the sample space is given by:

S = {HHHH, HHHT, HHTH, HHTT, HTHT, HTTH, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}

NCERT Solutions for Class 11Maths chapter 16 Exercise 16.2

EX 16.2 Class 11 Maths Question 1:

A die is rolle. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

Ans:

When a die is rolled, the sample space is given by

S = {1, 2, 3, 4, 5, 6}

Accordingly, E = {4} and f + {2, 4, 6}

NCERT Solutions for Class 11 Maths Chapter 16 Probability

EX 16.2 Class 11 Maths Question 2:

A die is thrown. Describe the following events:

(i) A: a number less than 7 (ii) B: a number greater than 7 (iii) C: a multiple of 3

(iv) D: a number less than 4 (v) E: an even number greater than 4 (vi) F: a number not less than 3

NCERT Solutions for Class 11 Maths Chapter 16 Probability

EX 16.2 Class 11 Maths Question 3:

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:

A: the sum is greater than 8, B: 2 occurs on either die

C: Thesum is at leas 7 and a multiple of 3.

Which pairs of these events are mutually exclusive?

Ans:

When a pair of dice is rolled, the sample space is given by

NCERT Solutions for Class 11 Maths Chapter 16 Probability

NCERT Solutions for Class 11Maths chapter 16 Exercise 16.3

EX 16.3 Class 11 Maths Question 1:

Which of the following can not be valid assignment of probabilities for outcomes of

NCERT Solutions for Class 11 Maths Chapter 16 Probability

EX 16.3 Class 11 Maths Question 2:

A coin is tossed twice, what is the probability that at least one tail occurs?

Ans:

When a coin is tossed twice, the sample space is given by

S = {HH, HT, TH, TT}

Let A be the vent of the occurrence of at least tail.

Accordingly,A = {HT, TH, TT}

NCERT Solutions for Class 11 Maths Chapter 16 Probability

Class 11 Maths NCERT Solutions - Miscellaneous Questions

Miscellaneous Exercise Class 11 Maths Question-1

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probablility that

(i) all will b blue? (ii) atleast one will be green?

Ans:

Total number of marbles = 10 + 20 + 30 = 60

Number of ways of drawing 5 marbles from 60 marbles = 60C5

(i) all the drawn marbles will be blue if we draw 5 marbles out of 20 blue marbles.

NCERT Solutions for Class 11 Maths Chapter 16 Probability

Miscellaneous Exercise Class 11 Maths Question-2

4 cards are drawn from a well-shuffled deck of 52 cards. What is the probablility of obtaining 3 diamonds and one spade?

Ans:

Number of ways of drawing from 52 cards = 52C4

In a deck of 52 cards, there are 13 diamonds and 13 spades.

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  • Sagar singh
  • 2022-March-22 18:00:44
I want glossary PDF
  • Anuradha Rawat
  • 2021-September-18 08:27:43
Very much composed answers
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Ok
  • Ramu
  • 2020-May-05 15:49:15
NCERT Solutions For Class 11