Q. 20

Mark the correct alternative in each of the following:

If S is the sample space and and S = AB, where A and B are two mutually exclusive events, then P(A) =

A. 1/4

B. 1/2

C. 3/4

D. 3/8

Answer :

P(A) = 1/3 P(B) Given


3 P(A) = P(B) (1)


Now, since it’s given that A and B are mutually exclusive:


P(A B) = 0 (2)


Now then,


P(S) = P(AB) = 1 (3)


P(AB) = P(A) + P(B) + P(AB)


P(A) + P(B) = 1 From (2) & (3)


P(A) + 3 P(A) = 1 From (1)


4 P(A) = 1


P(A) = 1/4

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