The liar
Probability
Level
2
A die is rolled. A man speaks truth 3 out of 4 times. What is the probability that he is speaking truth that the number on die is 6?
0.125
0.375
0.5
0.75
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1 solution
P(6 rolled and reported | 6 reported)
= (3/4)(1/6) / {(3/4)(1/6) + (1/4)(5/6)(1/5)}
= (3/24) / {(3/24) + (1/24)}
= 3/4