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A and B are two candidates seeking admission in a college. The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. Find the probability that B is selected. |
Answer» Let p be the probability that B gets selected. P (Exactly one of A, B is selected) = 0.6 (given) P (A is selected, B is not selected; B is selected, A is not selected) = 0.6 P (A∩B′) + P (A′∩B) = 0.6 P (A) P (B′) + P (A′) P (B) = 0.6 (0.7) (1 – p) + (0.3) p = 0.6 p = 0.25 Thus the probability that B gets selected is 0.25. |
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