rec.puzzles Archive

Cards are dealt to five players until the deck is exhausted.

probability/card/last.diamond

Problem

Cards are dealt to five players until the deck is exhausted.  Which player
is most likely to be dealt the last diamond in the deck?
Show solution
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.