A and B appeared for an exam. Let A is selected when even x happens and B is selected if the event y happens. The probability of event x is 1/7 and that of y is 2/9. Find the probability that both A and B got selected.
(A) 7/15
(B) 3/14
(C) 2/63
(D) 6/63
Answer: (C)
Explanation: Since selection of A is independent of selection of B in the exam, A and B are independent events
If two events are independent, then P(A ∩ B) = P(A) * P(B) =>P(A ∩ B) = 1/7 * 2/9 = 2/63
Quiz of this Question