MCQ Questions for Class 11 Maths Chapter 16 Probability with Answers

Check the below NCERT MCQ Questions for Class 11 Maths Chapter 16 Probability with Answers Pdf free download. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. We have provided Probability Class 11 Maths MCQs Questions with Answers to help students understand the concept very well.

Q.1 Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B ̅) =0.6 then P(AUB) is

(a) 0
(b) 1
(c) 0.6
(d) 0.9

(d) 0.9

Q.2 Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B: Getting a total of 7 on the two dice. C: Getting a total of greater than or equal to 8 on the two dice. Then AUB is equal to

(a) 15
(b) 17
(c) 19
(d) 21

(d) 21

Q.3 Six boys and six girls sit in a row at random. The probability that the boys and girls sit alternatively is

(a) 1/462
(b) 11/462
(c) 5/121
(d) 7/123

(a) 1/462

Q.4 A die is rolled, then the probability that an even number is obtained is

(a) 1/2
(b) 2/3
(c) 1/4
(d) 3/4

(a) 1/2

Q.5 The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains 3 Kings is

(a) 1/221
(b) 5/716
(c) 9/1547
(d) None of these

(c) 9/1547

Q.6 A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn. Then the probability that they both are diamonds is

(a) 84/452
(b) 48/452
(c) 84/425
(d) 48/425

(d) 48/425

Q.7 On his vacation, Rahul visits four cities (A, B, C, and D) in a random order. The probability that he visits A first and B last is

(a) 1/2
(b) 1/6
(c) 1/10
(d) 1/12

(d) 1/12

Q.8 The probability of getting 53 Sundays in a leap year is

(a) 1/7
(b) 2/7
(c) 3/7
(d) None of these

(b) 2/7

Q.9 Let A and B are two mutually exclusive events and if P(A) = 0.5 and P(B ̅) = 0.6 then P(A∪B) is

(a) 0
(b) 1
(c) 0.6
(d) 0.9

(d) 0.9

Q.10 When a coin is tossed 8 times getting a head is a success. Then the probability that at least 2 heads will occur is

(a) 247/265
(b) 73/256
(c) 247/256
(d) 27/256

(c) 247/256

Q.11 Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the probability that the smaller of the two is less than 4.

(a) 4/5
(b) 1/15
(c) 1/5
(d) 14/15

(a) 4/5

Q.12 Events A and B are said to be mutually exclusive iff

(a) P (A U B) = P (A) + P (B)
(b) P (A ∩ B) = P (A) × P (B)
(c) P(A U B) = 0
(d) None of these

(a) P (A U B) = P (A) + P (B)

Q.13 If 4-digit numbers greater than 5000 are randomly formed from the digits 0, 1, 3, 5 and 7, then the probability of forming a number divisible by 5 when the digits are repeated is

(a) 1/5
(b) 2/5
(c) 3/5
(d) 4/5

(b) 2/5

Q.14 A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. The probability that none of the balls drawn is blue is

(a) 10/21
(b) 11/21
(c) 2/7
(d) 5/7

(a) 10/21

Q.15 The events A, B, C are mutually exclusive events such that P (A) = (3x + 1)/3, P (B) = (x – 1)/4 and P (C) = (1 – 2x)/4. The set of possible values of x are in the interval

(a) [1/3, 1/2]
(b) [1/3, 2/3]
(c) [1/3, 13/3]
(d) [0, 1]

(a) [1/3, 1/2]

Q.16 A bag contains 5 brown and 4 white socks . A man pulls out two socks. The probability that both the socks are of the same colour is

(a) 9/20
(b) 2/9
(c) 3/20
(d) 4/9

(d) 4/9

Q.17 Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is

(a) 2/9
(b) 1/9
(c) 8/9
(d) 7/9

(b) 1/9

Q.18 The probability that in a random arrangement of the letters of the word INSTITUTION the three T are together is

(a) 0.554
(b) 0.0554
(c) 0.545
(d) 0.0545

(d) 0.0545

Q.19 The probability that when a hand of 7 cards is drawn from a well-shuffled deck of 52 cards, it contains 3 Kings is

(a) 1/221
(b) 5/716
(c) 9/1547
(d) None of these

(c) 9/1547

Q.20 Events A and B are independent if

(a) P (A ∩ B) = P (A/B) P (B)
(b) P (A ∩ B) = P (B/A) P (A)
(c) P (A ∩ B) = P (A) + P (B)
(d) P (A ∩ B) = P (A) × P (B)

(d) P (A ∩ B) = P (A) × P (B)

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