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 Ludo

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A game by any other name....

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4. July 2006, 17:56:19
dameningen 
Mathematical question: How much edge have the player who is going to roll when both players have their last pieces front of the home?

5. July 2006, 02:30:41
mctrivia 
Subject: Re:
Modified by mctrivia (5. July 2006, 02:38:26)
Salkkuman: The player that is going to roll will have a 16.67% chance to win in that roll. The next player to roll has a 13.89% chance to win on his roll. However once the player that is going to roll, rolls and loses they switch places on there stitistical probability to win. Over all the first person to roll in this situation has a 9.09% beter odds of wining then the secound player to roll.

5. July 2006, 02:39:43
Sylfest Strutle 
Subject: Re:
Assuming both players are positioned such that they will always have 1/6 chance for an immediate win:
p=1/6 + (1-p)5/6 --> p = 6/11, about 54.5%.

5. July 2006, 02:41:08
mctrivia 
Subject: Re:
whopper: Yep exactly what I said 4.5*2=9% however you actually gave the formula so a much beter answer.

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