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Previous Year Question (PYQs)

A and B are independent witness in a case. The chance that A speaks truth is x and B speaks truth is y. If A and B agree on certain statement, the probability that the statement is true is




Solution

P(A speaks truth) = x
P(B speaks truth) = y
Since, both A and B agree on certain  statement.
Hence, Total Probability =P(A)P(B)+P(A')P(B')
=xy  + (1-x)(1-y)
If statement is true then it means both A and B speaks truth.
∴ Required Probability = 


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