Three Dice Problem - Defined and Two Solutions (Algebraic/Number Wheel Solution)

Ztech
Ztech
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0
Published 2016-09-17
You have 3 small, 6-sided die in a larger, transparent, cube. After rolling the cube, how can you use the values of the 3 small dice, to simulate the roll of a single fair die? I came up with 2 solutions ..............(continued)

My number wheel solution is quick and elegant: Just ADD the value of any two die from the value of another. If you get past 6, start back from 1. For example, if you roll: 5,4,3 - start at any number, lets say 4, and add the other two numbers 4 + 3 = 7. Because you went past 6, go back to 1. Then add 3. So you end up at 4. Believe it or not, that is a non-biased result. Alternatively, you can SUBTRACT the values of each die together- when you get below 1, restart from 6. I explain how this works in my video, which also includes an empirical test of the solution.

Original problem posted here by User: standupmaths
   • The Three Indistinguishable Dice Puzzle  

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All Comments (2)
  • @zadeh79
    Just ADD the value of any two die from the value of another. If you get past 6, start back from 1. For example, if you roll: 5,4,3 - start at any number, lets say 4, and add the other two numbers 4 + 3 = 7. Because you went past 6, go back to 1. Then add 3. So you end up at 4. Believe it or not, that is a non-biased result. Alternatively, you can SUBTRACT the values of each die together- when you get below 1, restart from 6. I explain how this works in my video, which also includes an empirical test of the solution.