GATE | GATE-CS-2003 | Question 3

Let P(E) denote the probability of the event E. Given P(A) = 1, P(B) = 1/2, the values of P(A | B) and P(B | A) respectively are (A) 1/4, 1/2 (B) 1/2, 1/14 (C) 1/2, 1 (D) 1, 1/2
Answer:(D)
Explanation: Given, , We need to find the conditional probability of two given events without being told about . Also it is not mentioned that they are independent events. But since is 1, it means that covers the complete sample space. So,
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