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Class 12 Mathematics - Chapter 13: Probability MCQ Questions

24 Questions 48 Minutes
Answered: 0 / 24Unanswered: 24

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Question 1

Probability that A speaks truth is (frac { 4 }{5}). A coin is tossed. A reports that a head appears. The probability that actually there was head is:

Question 2

Then E(X) is equal to

Question 3

If A and B are events such that P (A/B) = P(B/A), then

Question 4

If now a ball is drawn at random from the bag, then the probability that this drawn ball is red is

Question 5

A die is thrown once, then the probability of getting a number greater than 3 is :

Question 6

If P (A/B) > P (A), then which of the following is correct?

Question 7

Let ‘X’ be a discrete random variable assuming values x1, x2, …………… , xn with probabilities p1, p2, …………. , pn respectively. Then variance of ‘X’ is given by

Question 8

Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. What is the value of E (X)?

Question 9

If it is given that the events A and B are such that P (A) = (frac { 1 }{4}), P (A/B) = (frac { 1 }{2}) and P(B/A) = (frac { 2 }{3}). Then P (B) is:

Question 10

If A and B are two events such that P(A) = 0.2, P(B) = 0.4 and P(A∪B) = 0.5, then value of P(A/B) is?

Question 11

Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = 0.5. Then P(A’/B’) equals

Question 12

Three numbers are chosen at random with-out replacement from {1, 2, 3, ….. 8}. The probability that their minimum is 3, given that their maximum is 6 is

Question 13

Let A and B be two events such that P((overline{mathbf{A} cup mathbf{B}})) = (frac { 1 }{6}) P(A∩B) = (frac { 1 }{4}) and P((bar { A})) = (frac { 1 }{4}), where (bar { A})stands for the complement of the event A. Then the events A and B are

Question 14

Let A and B be two events. If P(A) = 0.2, P(B) = 0.4, P(A ∪ B) = 0.6, then P(A/B) is equal to:

Question 15

The probability of obtaining an even prime number on each die when a pair of dice is rolled is

Question 16

Let A, B, C be pairwise independent events with P (C) > 0 and P (A∩B∩C) = 0. Then P (Ac∩Bc /C) is

Question 17

If P(A) = (frac { 1 }{2}), P(B) = 0, thenP (A/B) is

Question 18

An urn contains 6 balls of which two are red and four are black. Two balls are drawn at random. Probability that they are of the different colours is:

Question 19

If A and B are two events such that P (A) ≠ 0 and P (B/A) = 1, then

Question 20

P (A) + P (B) – P (A and B) = P (A), then:

Question 21

If A and B are independent events such that 0 < P(A) < 1 and 0 < P(B) < 1, then which of the following is not correct?

Question 22

Two events A and B are said to be independent if:

Question 23

If two different numbers are taken from set (0, 1, 2, …… , 10}, then the probability that their sum as well as absolute difference are both multiples of 4, is

Question 24

If A and B are two events such that A ⊂ B and P (B) ≠ 0, then which of the following is correct

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