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Custom Dice (Posted on 2006-11-16) Difficulty: 2 of 5
You are given blank six-sided dice, with equal weight on each side (fair dice). You're allowed to write on each side of each die a number between 0 and 6. Numbers may repeat themselves on a single die, so for example, one die can have five 4s and one 0.

1) Can you create two such dice which, if they are rolled and their results added, will give equal odds for every number from 1 to 12?

2) Can you create three such dice which, if they are rolled and their results added, will give equal odds for every number from 1 to 18?

(NOTE: Don't get smart and make all the dice all 0s. The probability of getting 0 should be 0)

No Solution Yet Submitted by TamTam    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle Thoughts K Sengupta2023-03-12 23:06:20
Solutionre: Extension to question 2Brian Smith2017-02-27 12:56:16
QuestionExtension to question 2Joel2006-11-16 22:59:54
SolutionSolution (including 0-6 limit)Joel2006-11-16 10:19:49
Hints/Tipsre: SolutionRobby Goetschalckx2006-11-16 10:08:59
SolutionBernie Hunt2006-11-16 10:06:01
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