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If A and B are independent events with P...

If A and B are independent events with `P(A) gt (1)/(2)` and `P(B) gt (1)/(2) and P(A cap B^(c ))=(3)/(25), P(B cap A^(c ))=(8)/(25)`, find out the values of P(A) and P(B).

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The correct Answer is:
`P(A)=(3)/(5), and P(B)=(4)/(5)`
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