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If A and B are two events associated with a random experiment such that P(A) = 0.25, P(B) = 0.4 and P(A or B) = 0.5, find the values of

(i) P(A and B)

(ii) P(A and bar B)

1 Answer

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Given : P(A) = 0.25 P(B) = 0.4 and P(A or B) = 0.5

(i) We know, P(A or B) = P(A) + P(B) – P(A and B)

Substituting values in the above formula, we get

0.5 = 0.25 + 0.4 – P(A and B)

0.5 = 0.65 – P(A and B)

P(A and B) = 0.65 – 0.5

P(A and B) = 0.15

(ii) 

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