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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): Why this is difficult Comment 10 of 10 |
(In reply to re: Why this is difficult by broll)

Going toward "The sort of lines" you were actually getting at makes for a much harder problem than simply getting a practical solution with multiple throws. You wished us to emulate the sum (as that is all Monopoly needs) of two dice if possible with a single toss of the four coins. Quickly then the identity of the coins denoted by their valuations reduces just to their distinguishability. It seems a slog to try to replicate the sum distribution needed (shown in my older post), an effort which may be appreciated from watching your posted Matt Parker video. The only encouragement I found is that Galileo himself worked on the three dice throw properties. 
  Posted by Steven Lord on 2018-10-05 05:02:42

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