# Statistics puzzle i05244c

LOCKSHIN, RICHARD A YPRLBIO at sjumusic.stjohns.edu
Thu Jun 16 16:19:02 EST 1994

```In article <2tfv1n\$t8d at cville-srv.wam.umd.edu> bcohen at wam.umd.edu (Brad Cohen) writes:
>
>Martin Gardner says that new mathematical puzzles are very
>difficult to devise.  What do you think of this one?
>
>A slightly less-than-honest bridge player (south) caught a
>glimpse of a card dealt to her opponent on the left (west) - it
>was a red ace (she could not tell which suit).  This opponent --
>west -- opens the game by playing the ace of diamonds.  South
>sees that neither she nor the revealed cards of north have the
>ace of hearts, which must be in either east's hand or west's
>hand.  What is the probability now that west has the ace of
>hearts?
>
>Note: In bridge, four players are each dealt 13 cards from a
>regular deck of cards.  The one who initiates play is designated
>west, the others east, north and south.  North's hand is revealed
>to all and the cards laid on the table.
>
>For a solution using the resampling method, contact pcbruce at wam.umd.edu)
>.
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```