A standard, thoroughly shuffled 52-card deck is dealt one at a time to 5 players (players 1 - 5) in standard fashion, until the deck is exhausted.
Using non-brute force methods, show which player is most likely to be
dealt the last Diamond in the deck.
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Submitted by Brian Smith
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Rating: 2.8000 (5 votes)
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Solution:
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(Hide)
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This is really the same as dealing from the *bottom* of the deck,
starting with player 2, going to player 1, then 5,4,3,2,1,5,4,3,...
Therefore, since player 2 gets the first shot at a diamond, he has the
best chance of receiving the first diamond. So, play this movie
backwards, once again dealing from the top of the deck, and player 2
has the best chance of receiving the last diamond. |
