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Previous Year Question (PYQs)



A and B are independent witnesses. Probability A speaks the truth = $x$, Probability B speaks the truth = $y$. If both agree on a statement, the probability that the statement is true is:





Solution

Both agree and the statement is true: Probability = $xy$ 
Both agree but the statement is false Probability = $(1-x)(1-y)$ 
So required probability: $\dfrac{xy}{xy + (1-x)(1-y)}$


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