SOLUTION: ) Of two men, it is said that one sometimes tells the truth while the other only tells the truth two times out of three. If one is chosen at random. ... at random and asked a

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Question 698174: ) Of two men, it is said that
one sometimes tells the truth
while the other only tells the
truth two times out of three. If
one is chosen at random. ... at
random and asked a question,
the probability of a truthful
answer is 17/24.how often does the man tell the truth
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
probability that the man you ask is the one who tells the truth 2 times out of 3 = 1%2F2
2%2F3 = probability of getting a true answer if you ask that guy.
probability that the man you ask is the other man = 1%2F2
x = fraction of the times the other man tells the truth
(in other words the probability that his answer would be true).

If you ask one of the two men a question, your probability of getting a true answer is
%281%2F2%29%2A%282%2F3%29%2B%281%2F2%29%2Ax=17%2F24
1%2F3%2B%281%2F2%29%2Ax=17%2F24
%281%2F2%29%2Ax=17%2F24-1%2F3
%281%2F2%29%2Ax=17%2F24-8%2F24
%281%2F2%29%2Ax=9%2F24
2%2A%281%2F2%29%2Ax=2%2A%289%2F24%29 --> x=9%2F12%29 --> highlight%28x=3%2F4%29