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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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Some Thoughts Solution | Comment 1 of 6
According to the rules, there are 144 possible ways in which he can make ten statements. Of these 144 ways (a total of 1440 statements) a total of 1020 individual statements are true. This leaves 320 lies out of 1440 statements, or a total probability of .291666667 of lying. Similarly, the probability of telling the truth is 1020/1440, or .708333333.
  Posted by Eric on 2004-07-02 14:49:49
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