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Who pinched the dice? (Posted on 2018-10-04) Difficulty: 3 of 5

My friends and I wanted to play Monopoly, but the dice were missing from the game.

Searching our pockets, we had 4 coins between us, all different: 10c, 50c, $1, and $2.

How can we best emulate a pair of dice with these coins, assuming that they are fair?

No Solution Yet Submitted by broll    
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re(2): Probably not the answer you wanted | Comment 5 of 10 |
(In reply to re: Probably not the answer you wanted by Daniel)

The roll of 1 die is uniformly distributed 1 to 6. The sum of two dice is not uniformly distributed 2 to 12 but rather:

(1/36,2/36,3/36,4/36,5/36,6/36,5/36,4/36,3/36,2/36,1/36) for adding to (2,3...,12)

  Posted by Steven Lord on 2018-10-04 09:02:59
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