A & B are two independent witnesses (i.e. no collusion between them). The probability…
Mathematics · JEE Main · NTA Exams — Statistics and Probability
A & B are two independent witnesses (i.e. no collusion between them). The probability that A will speak the truth is \(\mathbf{x}\) & the probability that B speaks the truth is \(\mathbf{Y}\). A and B agree in a certain statement.
The probability that the statement is true, is
- \(\frac{x-y}{x+y}\)
- \(\frac{x y}{1+x+y+x y}\)
- \(\frac{x y}{1-x-y+2 x y}\)
- None of these
Answer
(C) x y 1-x-y+2 x y
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