Question 22
A man tells the truth 3 out of 4 times. He throws a fair die and reports a 6. It is known that whenever the result is not 6 and he is lying, he reports a 6. Find the probability that the actual result is 6.
Probability assumption for self-study: truth-telling is independent of the die result; for each face, he tells the truth with probability 3/4 and lies with probability 1/4.
Probability assumption for self-study: truth-telling is independent of the die result; for each face, he tells the truth with probability 3/4 and lies with probability 1/4.