Given that the events A and B are such that P(A) = 12, PA∪B=35 and P (B) = p. Find p if they are (i) mutually exclusive (ii) independent.
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Solution
It is given that `P(A) = 1/2, P(A ∩ B) = 3/5 and P(B) = p`
(i) When A and B are mutually exclusive, A ∩ B = Φ
∴ P (A ∩ B) = 0
(ii) When A and B are independent, P(A ∩ B) = P(A).P(B) = 1/2 p
Concept: Independent Events
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