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The assumption of how the person lies can have a dramatic impact, however, the question implies that the person is a pathological liar, who statistically lies 1/4 of the time. Therefore, one can solve this problem with some basic reasoning: if he reported a 6, and he lies 1/4 of the time, then in a large sample, 3/4 of the time that he reports a 6 he will actually have rolled a 6!
The assumption of how the person lies can have a dramatic impact, however, the question implies that the person is a pathological liar, who statistically lies 1/4 of the time.
Therefore, one can solve this problem with some basic reasoning: if he reported a 6, and he lies 1/4 of the time, then in a large sample, 3/4 of the time that he reports a 6 he will actually have rolled a 6!
