POLYA027:  Probability of winning a solitaire card game (proposed by Antreas P. Hatzipolakis, 1/19/02).

 In a solitaire game, a player deals one card (from a deck of 52) at a  time and  counts 1, 2, 3, 1, 2, 3, ... in succession. He loses if he counts a  number  same as the card dealt at the same time. [For this purpose, an ACE is  regarded  as the same as one]. What is the probability of winning the game?

Discussion. [SCL]: The probability of winning is 24,532,967,512 / 3,004,641,364,725. Explanation follows in postscript or pdf file.

Bibliography.

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