How to Play Fair With Loaded Dice (Math Chat)
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|Frank Morgan, MAA Online|
|Answer to the Challenge: For some reason you need a standard fair die (with the numbers from 1 to 6 on the six faces). All you have is an unfair "loaded" die. How can you use the loaded die to fairly choose random numbers from 1 to 6? ... Roll the die three times. If you don't get three different numbers, start over. When you get three different numbers, the highest roll H, the middle roll M, and the lowest roll L can occur in six, equally likely patterns: HML, HLM, MHL, MLH, LHM, and LMH, which can be associated with the numbers from 1 to 6.|
|Levels:||High School (9-12), College|
|Math Topics:||Permutations/Combinations, Probability|
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