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Question

A man speaks the truth two out of three times. He picks one of the natural numbers in the set $S = \{1, 2, 3, 4, 5, 6, 7\}$ and reports that it is even. The probability that it is actually even is:

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{1}{10}$

$\frac{3}{5}$

Solution

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