Answer on Statistics and Probability Question for Ke_091
pX = 3/(3+2) = 3/5
probability for Y to say the truth is
pY = 5/(5+3) = 5/8
The event A
that "they contradict each other" means that
"X speaks the truth and Y
lies or X lies and Y speaks the truth"
P(A) = pX*(1-pY) +
= 3/5 * 3/8 + 2/5 * 5/8
= 9/40 + 10/40
Thus in 47.5% of cases X and Y contradict each
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