1.

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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