MCQ On Class 11 Maths Chapter 16 Probability

1 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

View Answer

Answer:247/256

2 The probability of getting the number 6 at least once in a regular die if it can roll it 6 times?

A 1 – (5/6)⁶

B 1 – (1/6)⁶

C (5/6)⁶

D (1/6)⁶

View Answer

Answer:1 – (5/6)⁶

3 A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year

A e^-1/2/2

B e-^-1/2/4

C e-^-1/2/8

D none of these

View Answer

Answer:e-^-1/2/8

4 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

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Answer:1/9

5 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

View Answer

Answer:21

6 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

View Answer

Answer:0.0545

7 Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear is

A 3/5

B 2/7

C 5/7

D 7/9

View Answer

Answer:7/9

8 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

View Answer

Answer:4/9

9 The probability of getting 53 Sundays in a leap year is

A 1/7

B 2/7

C 3/7

D None of these

View Answer

Answer:2/7

10 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

View Answer

Answer:9/1547

11 A couple has two children. The probability that both children are females if it is known that the elder child is a female is

A 0

B 1

C 1/2

D 1/3

View Answer

Answer:1/2

12 Two cards from a pack of 52 cards are lost. One card is drawn from the remaining cards. If drawn card is diamond then the probability that the lost cards were both hearts is

A 143/1176

B 143/11760

C 143/11706

D 134/11760

View Answer

Answer:143/11760

13 There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is

A 1/3

B 1/6

C 1/2

D 1/4

View Answer

Answer:1/6

14 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

View Answer

Answer:0.9

15 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

View Answer

Answer:1/36

16 If four whole numbers taken at random are multiplied together, then the chance that the last digit in the product is 1, 3, 5, 7 is

A 16/25

B 16/125

C 16/625

D none of these

View Answer

Answer:16/625

17 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

View Answer

Answer:4/5

18 A certain company sells tractors which fail at a rate of 1 out of 1000. If 500 tractors are purchased from this company, what is the probability of 2 of them failing within first year

A e^-1/2/2

B e^-1/2/4

C e^-1/2/8

D none of these

View Answer