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A and B are two independent witnesses in...

A and B are two independent witnesses in a case. The probability that A will speak the truth is x and the probability that B will speak the truth is y. A and B agree on a certain statement. The probability that the statement is true is

A

`(x-y)/(x+y)`

B

`(xy)/((1+x+y+xy)`

C

`(x-y)/(1-x-y+2xy)`

D

`(xy)/(1-x-y+2xy)`

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The correct Answer is:
D
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