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Never consecutive (Posted on 2021-01-26) Difficulty: 4 of 5
Given d dice each with n sides, find the probability that when they are rolled at once, there are no two consecutive numbers.

This task may be quite difficult. For a warm-up, try finding the numerators for fixed d such as {1,2,3} or for fixed n such as {2,3,4}.

Note 1: I don't have a formula so much as an algorithm.
Note 2: This problem arose as an attempt to solve by Larry which uses non-independent cards instead of dice.

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

Comments: ( You must be logged in to post comments.)
  Subject Author Date
reduced fractionsCharlie2021-01-28 16:18:58
re: Neatening the tableBrian Smith2021-01-28 10:30:21
Neatening the tableCharlie2021-01-27 11:06:16
numerators and denominators separatelyCharlie2021-01-26 13:16:09
Some Thoughtsby algorithmCharlie2021-01-26 11:54:00
Some Thoughtssimulations for comparisonCharlie2021-01-26 10:19:46
a start; function to compute p(d,n)Larry2021-01-26 09:08:39
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