\( A \) draws a card from a pack of \( n \) cards marked \( 1,2, \ldots, n \). The card is repla...

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\( A \) draws a card from a pack of \( n \) cards marked \( 1,2, \ldots, n \). The card is replaced in the pack and \( B \) draws a card. Then the probability that \( A \) draws a higher card than \( B \) is
(1) \( (n+1) / 2 n \)
(2) \( 1 / 2 \)
(3) \( (n-1) / 2 n \)
(4) none of these
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