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NCERT Solutions for class 11 Maths | Chapter 16 - Probability

Free download in PDF Class 11 Maths Chapter 16 Probability Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(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
(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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