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NCERT Solutions for class 11 Maths | Chapter 16 - Probability

Questions
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

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

Answer:1 – (5/6)6
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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Answer:e-1/2/8
19 A random variable X has poison distribution with mean 2. Then, P (X > 1.5) equals
A 1 – 3/e²
B 2/e²
C 3/e²
D 0

Answer:1 – 3/e²
20 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

Answer:1/12

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