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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