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Re: Probability in the game Citadels
Posted:
Jul 22, 2012 5:51 AM
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>
>
> In Citadels there are 8 character cards, one of which
> is the King. At the beginning of each turn they are
> shuffled and two cards are put placed face up and one
> face down, the remaining 5 cards enter distribution
> to the players. If the king appears as a face up card
> then the process must be restarted and repeated until
> the King is not a face up card. The question is, what
> is the chance that the king will be the face down
> card?
Hi Eric,
The 8 character cards contain 1 King.
In any valid deal, the King is not one of the 2 face up cards. Therefore it must be 1 of the other 6 cards.
1 of those 6 cards is facing down.
Therefore the probability is 1/6 that the face down card is the King.
Regards, Peter Scales.
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