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. - Mathematics
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.
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
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