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A man is known to speak truth 3 out of 4 times.He throws adie and reports it is a six. Find the probability that it is actually a six.
(3/4)*(1/6) = (1/8)
probability of speaking truth is 0.75
and that of speaking false is 0.25
probability of coming 6=1/6
probabiliy that it is 6 and he say the truth = .75*1/6
probability that it is not 6 and he say it as 6 = .25*5/6
Probability that it is actually 6=(0.75*1/6) / {(0.75*1/6) + (0.25*5/6)}
=3/8
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