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A game with three dice Logic puzzles  Weight: 5 Liked the puzzle: 100% 26.12.2009
A MegaMind has three dice whose faces are marked with numbers 1,..,6. Some numbers can be repeated. He offers to play the game in which his opponent can choose any die, and the MegaMind will choose one of the remaining two. Then they discard the last die, and start rolling. Whoever rolls a lower number, pays the opponent a predetermined sum, say $1. In case of equality, the MegaMind lose. How did the MegaMind mark the dice if it is known that he plays this game nearly every day, and usually wins?
Comments:   3 check your solution  

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idler_
 
Rating: 106
Group: Moderators
äîáàâëåí 2011-01-28 19:40:21
Reserved.
zzz123
 
Rating: 72
Group: Members
äîáàâëåí 2011-03-20 09:16:13
can we assume that the opponent is rational and always picks the best die?
alan
 
Rating: 231
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äîáàâëåí 2011-03-20 12:57:22
zzz123 2011-03-20 09:16:13
can we assume that the opponent is rational and always picks the best die?

Yes.



 
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