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Aptitude | Probability | Question 2

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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

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Last Updated : 05 Mar, 2021
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