NCERT Class 11 Chapter 16 Maths Probability MCQ

NCERT Class 11 Chapter 16 Maths Probability MCQ | Questions & Answers: Well! This article will help you take up the NCERT Class 11 Chapter 16 Maths Probability MCQ Quiz. In turn, you will know how much expertise you have in the respective area of interest. Good Luck!

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1. If a person throw 3 dice, the probability of getting sum of digit exactly 15 is :

A. 1/108

B. 2/109

C. 5/108

D. 3/108

2. The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then
P(A) + P(B) is

A. 0.4

B. 0.8

C. 1.2

D. 1.6

3. There are 5 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair is

A. 8/21

B. 11/21

C. 13/21

D. 12/31

4. Three identical dice are rolled. The probability that the same number will appear on each of them is:

A. 1/6

B. 1/36

C. 1/18

D. 3/28

5. The probability that a card drawn from a pack of 52 cards will be a diamond or king is:

A. 1/52

B. 2/13

C. 4/13

D. 1/13

6. The probability, that a leap year has 53 sundays is:

A. 2/7

B. 3/7

C. 4/7

D. 1/7

7. Let A, B, C be three events such that P (A) = 0.3, P(B) = 0.4, P(C) = 0.8, P(A ∩ B) = 0.08, P(A ∩ C) = 0.28, P(A∩B∩C) = 0.09. If P(AÈBÈC) ³ 0.75, then

A. 0.23 ≤ P(B∩C) ≤ 0.48

B. 0.45 ≤ P(B∩C) ≤ 0.75

C. 0.48 ≤ P(B∩C) ≤ 0.75

D. none of these

8. The probability that a man who is x years old will die in a year is P. Then amongst n persons A1, A2....,An each x years old now, the probability that A1 will die in one year is:

A. 1/n²

B. 1 – (1 – P)n

C. 1/n2(1 - 1 - p)n ]

D. 1/n [1 – (1 – P)n]

9. The most probable number of heads in 80 tosses of a biased coin, given that the probability of a head in a single toss is 3/5 , is:

A. 48

B. 32

C. 16

D. 12

10. The probability of occurrence of an event A is 0.3 and that of occurrence of an event B is 0.4. If A and B are mutually exclusive, then the probability that neither A occurs nor B occurs is:

A. 0.2

B. 0.35

C. 0.3

D. none of these

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11. Out of 40 consecutive integers, two are chosen at random, the probability that their sum is odd is:

A. 14/29

B. 21/29

C. 22/39

D. 20/39

12. A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out 2 socks at random. What is the probability that they match ?

A. 2/9

B. 4/9

C. 5/9

D. 5/8

13. Out of 600 bolts, 20% are too large and 10% are too small. The remainder are considered to be suitable. If a bolt is selected at random, the probability that it will be suitable is:

A. 1/5

B. 7/10

C. 1/10

D. 3/10

14. In a collection of 6 mathematics books and 4 physics books, the probability that 3 particular mathematics books will be together is:

A. 1/8

B. 1/10

C. 1/15

D. 1/20

15. In a collection of 6 mathematics books and 4 physics books, the probability that 3 particular mathematics books will be together is:

A. 1/8

B. 1/10

C. 1/15

D. 1/20

16. A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5.
Then P(AÈB) is

A. 3/5

B. 0

C. 1

D. 2/5

17. An urn contains 13 balls numbering 1 to 13 . The probability that a ball selected at random is a ball with a number that is a multiple of 3 or 4 is equal to:

A. 6/13

B. 5/13

C. 4/13

D. 2/13

18. The number 1, 2, 3, ......., n are arranged in a random order. The probabiltiy that the digits 1, 2, 3, .....k (k < n) appears as neighbours in that order is

A. 1 /1n!

B. k!/n!

C. (n – k)! /n!

D. (n – k +1)! /n!

19. The probability of having a king and a queen when the two cards are drawn at random from a pack of 52 cards is:

A. 16/663

B. 8/663

C. 4/663

D. 2/663

20. If A and B are two events, such that P(A ∪ B) 3/4 , P(A ∩ B) 1/4 ,P(Ac ) 2/3 WHere Ac stands for the complementary event of A, then P(B) is given by:

A. 1/3

B. 2/3

C. 1/9

D. 2/9

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21. In tossing 10 coins the probability of getting 5 heads is:

A. 1 /2

B. 63/256

C. 193/250

D. 9/128

22. Three identical dice are rolled. The probability that the same number will appear on each of them is:

A. 1/6

B. 1/36

C. 1/18

D. 3/28

23. A dice is tossed twice. The probability of having a number greater than 3 on each toss is:

A. 1/4

B. 1/3

C. 1/2

D. 1

24. In a box there are 2 red, 3 black and 4 white balls.
Out of these three balls are drawn together. The probability of these being of same colour is:

A. 5/84

B. 1/21

C. 1/84

D. none of these

25. Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

A. 5/2

B. 5/4

C. 5/3

D. 5/1