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March 7, 2009

Unfair Dice Game

4 specially numerated dices are needed:
  • 3,3,3,3,3,3
  • 4,4,4,4,0,0
  • 5,5,5,1,1,1
  • 6,6,2,2,2,2
At every game, the opponent has a choice for any of the dices. The you choose the dice that is below the oppoenent's chosen one in the list above (below the last dice is the first dice). In this way, you always have probability of winning equal to 2/3. This is because distribution measures on random variables do not need to be transitive.

2 comments:

Vainius said...

Man atrodo čia turėtų būti: you choose the dice that is below the opponent's chosen one... Bet šiaip smagiai :)

Jonas Šukys said...

Yap, tu visiškai teisus :) Dėkui :) Pataisiau :)

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