A man is known to speak the truth on an average 4 out of 5 times. He throws a die and reports that it is a five. (Assume that when the outcome is not a five and he lies, he reports a five.) The…
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A man is known to speak the truth on an average 4 out of 5 times. He throws a die and reports that it is a five. (Assume that when the outcome is not a five and he lies, he reports a five.) The probability that it is actually a five is
Answer and explanation
Correct answer: A - \(\frac{4}{9}\)
P(five and true report)=(1/6)(4/5)=4/30. P(not five and he lies, reporting five)=(5/6)(1/5)=5/30. P(actually five | reports five)=4/(4+5)=4/9.
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IPMAT Indore
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