Check the below NCERT MCQ Questions for Class 12 Maths Chapter 13 Probability with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have provided Probability Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

## Q.1 In a binomial distribution, the sum of its mean and variance is 1.8. Find the probability of two successes, if the event was conducted times.

(a) 0.2623

(b) 0.2048

(c) 0.302

(d) 0.305

## Q.2 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:

(a) 0.8

(b) 0.5

(c) 0.3

(d) 0

## Q.3 If P(A) = 0.4, P(b) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) equal to

(a) 0.24

(b) 0.3

(c) 0.48

(d) 0.96

## Q.4 If A, B are two events associated with same random experiment such that P(a) = 0.4, P(b) = 0.8 and P(B/A) = 0.6 then P(A/B) is

(a) 0.3

(b) 0.4

(c) 0.5

(d) 0.6

## Q.5 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?

(a) A and B are mutually exclusive

(b) A and B’ are independent

(c) A’ and B are independent

(d) A’ and B’ are independent

## Q.6 An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. A consists 4 outcomes, the number of outcomes that B must have so that A and B are independent is

(a) 2, 4 or 8

(b) 36 or 9

(c) 4 or 8

(d) 5 or 10

## Q.7 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?

(a) 0.1

(b) 0.25

(c) 0.5

(d) 0.08

## Q.8 P(E ∩ F) is equal to

(a) P(E) . P(F|E)

(b) P(F) . P(E|F)

(c) Both (a) and (b)

(d) None of these

## Q.9 If three events of a sample space are E, F and G, then P(E ∩ F ∩ G) is equal to

(a) P(E) P(F|E) P(G|(E ∩ F))

(b) P(E) P(F|E) P(G|EF)

(c) Both (a) and (b)

(d) None of these

## Q.10 If two events are independent, then

(a) they must be mutually exclusive

(b) the sum of their probabilities must be equal to 1

(c) (a) and (b) both are correct

(d) None of the above is correct

## Q.11 Two events A and B will be independent, if

(a) A and B are mutually exclusive

(b) P(A’ ∩ B’) = [1 – P(A)] [1 – P(B)]

(c) P(A) = P(B)

(d) P(A) + P(B) = 1

## Q.12 If A and B are events such that P (A/B) = P(B/A), then

(a) A ⊂ B but A ≠ B

(b) A = B

(c) A ∩ B = ø

(d) P (A) = P (B)

## Q.13 Two events A and B are said to be independent if:

(a) A and B are mutually exclusive

(b) P (A’B’) = [1 – P(A)] [1 – P(B)]

(c) P (A) = P (B)

(d) P (A) + P (B) = 1

## Q.14 If P(a) = 0,4, P(b) = 0.8 and P(B|A) = 0.6 then P(A∪B) is equal to

(a) 0.24

(b) 0.3

(c) 0.48

(d) 0.96

## Q.15 If A and B are two events such that P (A) ≠ 0 and P (B/A) = 1, then

(a) A ⊂ B

(b) B ⊂ A

(c) B = ø

(d) A = ø

## Q.16 If the event A and B are independent, then P(A∩B) is equal to

(a) P(a) + P(b)

(b) P(a) – P(b)

(c) P(a). P(b)

(d) P(a) | P(b)

## Q.17 If A and B are two independent events, then the probability of occurrence of at least of A and B is given by

(a) 1 – P(A) P(b)

(b) 1 – P(A) P(B’)

(c) 1 – P(A’) P(B’)

(d) 1 – P(A’) P(b)