UCD Openday 1997
Mathematics Problem

Single Suit Clock Patience Problem
What is the probability of winning the card game Clock Patience, when playing with only one suit?
Clock Patience with a Full Deck Problem
What is the probability of winning at Clock Patience when playing, as is usual, with the full 52 card deck?

Clock Patience

Deal the full deck in the form of a clock. Not one but thirteen different games of clock patience may be played, since there are thirteen different piles from which to lift the first card (conventionally the first card is lifted from the center pile).
What is the probability that all thirteen are winnable games?

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Revised 16 Oct 1997.