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A and B are two events such that P(A) = 1/2,

Question:

A and B are two events such that P(A) = 1/2, P(B) = 1/3 and P(A Ç B) = 1/4.

Find:

(i) P(A|B)

(ii) P(B|A)

(iii) P(A’|B)

(iv) P(A’|B’)

Solution:

Given, P(A) = 1/2, P(B) = 1/3 and P(A Ç B) = 1/4.

P(A’) = 1 – 1/2 = 1/2, P(B’) = 1 – 1/3 = 2/3

Now,

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