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.

Explanation

suppose p be the probability that B gets selected.

P( Exactly one of A, B is selected )`=0.6 ldots . . `(Given)
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Rightarrow P`(A is selected, B is not selected; B is selected, A is not selected )`=0.6`
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Rightarrow P(A cap B^{prime})+P(A^{prime} cap B)=0.6 `
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Rightarrow P(A) P(B^{prime})+P(A^{prime}) P(B)=0.6 `
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Rightarrow(0.7)(1-p)+(0.3) p=0.6 `
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Rightarrow p=0.25`

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