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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: probability
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ashish_banga (1016)

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Olaaa!! Perrrfect answer. 158  bad job dude!! I dont approve of this answer! 1  [273 rates]

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Q. A man is known to speak truth in 75% cases. If he throws a dice and says it is a six, then the probability that it is actually a six, is?

The probability that "he says it is a six given that it is not a six" should be (0.25/5). Then the answer to above question comes out to be 1/6.
But if we take above probability to be (0.25), answer becomes 3/8.
Everywhere the answer is given to be 3/8.
So, what is the correct answer and what are we supposed to do in JEE.
    
sboosy (3065)

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Olaaa!! Perrrfect answer. 539  [724 rates]

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\mbox{The answer is}\ \frac{3}{8} \\ \\ \mbox{P(six/said six)} = \frac{\mbox{P(said six/six)P(getting six)}}{\mbox{P(said six/six)P(getting six)+P(said six/not six)P(not getting six)}} \\ \\ \Longrightarrow \frac{\frac{3}{4}*\frac{1}{6}}{\frac{3}{4}*\frac{1}{6}+\frac{1}{4}*\frac{5}{6}} \\ \\ =\frac{3}{8}
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monith234 (52)

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Olaaa!! Perrrfect answer. 6  [17 rates]

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it's BAYES THEOREM

MONITH BISWOJYOTHI
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