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A speaks the truth in 75% cases and B in 80% cases. In what percentage of cases are they likely to contradict each other in stating the same fact.

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A speaks the truth in 75% cases and B in 80% cases. In what percentage of cases are they likely to contradict each other in stating the same fact.

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The probability of speaking the truth by A = 75/100 = 3/4

The probability of not speaking the truth by A = 1 - (3/4) = 1/4

The probability of speaking the truth by B = 80/100 = 4/5

The probability of not speaking the truth by B = 1 - (4/5) = 1/5

By Baye's theorem,

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