ISRO | ISRO CS 2013 | Question 70

Let P(E) denote the probability of the occurrence of event E. If P(A) = 0.5 and P(B) = 1, then the values of P(A/B) and P(B/A) respectively are
(A) 0.5, 0.25
(B) 0.25, 0.5
(C) 0.5, 1
(D) 1, 0.5

Answer: (C)

Explanation:

P(A) = 0.5 and P(B) = 1
P(A/B) = P(A ∩ B)/P(B)

Since, P(A) and P(B) are independent events as seen from the value of P(B)

P(A ∩ B) = P(A) * P(B)
P(A/B) = P(A) * P(B) / P(B)
P(A/B) = 0.5
Similarly, P(B/A) = P(A) * P(B) / P(A)
P(B/A) = 1

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