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# A and B are highly truthful (they each tell the truth

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CEO
Joined: 15 Aug 2003
Posts: 3454
A and B are highly truthful (they each tell the truth [#permalink]

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02 Oct 2003, 23:21
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27.A and B are highly truthful (they each tell the truth randomly
3/4 of the time. Also, A's and B's truthfulness are independent.
Suppose A and B both look out the window to see what the weather is
like. A says, "It's raining." B says, "It's raining." What is the
probability that it actually is raining.
Manager
Joined: 13 Aug 2003
Posts: 68
Location: India

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03 Oct 2003, 00:44
It can be raining if either of them speaks the truth. The prbability that both lie is 1/16
Therefore prob that atleast one is speaking truth =15/16

which I gues is the right probabilty of rain.
03 Oct 2003, 00:44
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