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Topic: Probability in the game Citadels
Replies: 1   Last Post: Jul 22, 2012 5:51 AM

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Peter Scales

Posts: 136
From: Australia
Registered: 4/3/05
Re: Probability in the game Citadels
Posted: Jul 22, 2012 5:51 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

>
>
> 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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