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Often it is taken that a truthful person commands, more respect in the society.

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Often it is taken that a truthful person commands, more respect in the society. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.

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Let H1 be the event that 6 appears on throwing a die

H2 be the event that 6 does not appear on throwing a die.

E be the event that he reports it is six.

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