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Domino Polygons (Posted on 2011-03-14) Difficulty: 4 of 5
Randomly draw three from a standard set of 28 Double Six Dominoes.

What is the probability they can be arranged in a triangle with each end touching another end with an equal number of spots?
For example: [1|3][3|0][0|1] can form such a triangle.
(Note: this triangle is not a legal configuration in an actual game of dominoes.)

Randomly draw four dominoes instead.
What is the probability of being able to form a square in the same fashion?

How about 5? 6? 27? 26?

There doesn't seem to be a general formula. Is there?

No Solution Yet Submitted by Jer    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughts3! 4! (More eureka!)Steve Herman2011-03-16 23:52:39
re: 25! (Eureka!)Jer2011-03-15 16:05:20
Some Thoughts25! (Eureka!)Steve Herman2011-03-15 14:57:50
Some Thoughts27? 26? (spoiler)Steve Herman2011-03-14 23:16:50
Some ThoughtsGetting started: triangle case onlyCharlie2011-03-14 16:48:10
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