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Reloading the Dice (Posted on 2011-01-20) Difficulty: 3 of 5
A pair of dice, when rolled, produces sums of 2 to 12, with varying probabilities. Can the dice be reweighted (each face assigned a probability other than 1/6) so that all 11 sums occur with the same frequency?
If so how, if not how close can the difference between the least and most likely sum be made?

See The Solution Submitted by Brian Smith    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionComplete proof finished.Jer2011-01-24 16:44:44
re(2): A further improvementJer2011-01-24 16:31:50
Physical intervention thoughts.brianjn2011-01-21 19:37:20
Nice proof!Steve Herman2011-01-21 16:21:36
proof of no exact solutionxdog2011-01-21 12:47:56
re: A further improvementbroll2011-01-21 03:07:04
Some Thoughtsdegrees of freedomSteve Herman2011-01-21 01:36:23
Some ThoughtsA further improvementJer2011-01-20 20:00:10
possible solutionJer2011-01-20 18:11:52
Some Thoughtspossible approachbroll2011-01-20 17:33:23
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