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How often does he lie? (Posted on 2004-07-02) Difficulty: 3 of 5
In the "Not-always-lying politician" problem, what's the probability that a particular sentence is true?

See The Solution Submitted by Federico Kereki    
Rating: 2.5000 (4 votes)

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Solution Given answer is wrong! Comment 6 of 6 |
Let p be the probability of a true statement. The probability that the next statement is true is (p/2)+(1-p). That has to equal p.

(p/2)+(1-p)=p
1-(p/2)=p
1=3p/2
p=2/3

Therefore, the probability of a true statement is 2/3.


  Posted by Math Man on 2012-05-16 09:25:43
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