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A speaks truth in 75 percent of cases and B tells a lie in 20 percent of cases. What is the probability…

With independent reports about a binary fact, contradiction has probability \(0.75(0.20)+0.25(0.80)=0.35\), (4). Independence and the binary-report interpretation are…

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A speaks truth in 75 percent of cases and B tells a lie in 20 percent of cases. What is the probability that they will contradict each other in stating the same fact ?

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Correct answer D

With independent reports about a binary fact, contradiction has probability 0.75(0.20)+0.25(0.80)=0.350.75(0.20)+0.25(0.80)=0.35, (4). Independence and the binary-report interpretation are unstated; the two marginal truth rates alone permit different contradiction probabilities, and two false reports can also conflict when several false versions are possible.

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