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A096256
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Decimal expansion of the probability of rolling a Yahtzee (5 of a kind) in the dice game Yahtzee (tm).
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0
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0, 4, 6, 0, 2, 8, 6, 4, 2, 5, 2, 5, 6, 9, 8, 9, 9, 5, 7, 4, 9, 2, 9, 2, 9, 6, 0, 0, 8, 3, 9, 9, 8, 0, 3, 5, 5, 2, 9, 8, 1, 4, 2, 2, 2, 0, 8, 6, 7, 4, 1, 5, 1, 9, 7, 5, 4, 7, 7, 9, 9, 2, 8, 5, 3, 3, 9, 2, 9, 4, 4, 8, 4, 2, 4, 1, 9, 0, 0, 7, 9, 4, 2, 5, 5, 6, 1, 8, 2, 1, 5, 3, 8, 0, 4, 4, 6, 7, 4, 7, 6, 1, 6, 3, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Matt Hudelson's solution at the SMSU link demonstrates the use of a transition matrix to solve this type of problem. This probability is calculated for use of the "obviously best" strategy of directly trying to achieve five matched dice: If a second or third roll is necessary, roll again "keeping only one set of the largest number of matched dice" each time.
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LINKS
| Southwest Missouri State University Challenge Problem Archive, Yahtzee!.
Hasbro, Yahtzee Instructions (pdf document), Milton Bradley Company, 1996.
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FORMULA
| a(n) = decimal digits of 347897/7558272.
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EXAMPLE
| 0.0460286425...
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PROG
| (PARI)
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CROSSREFS
| Sequence in context: A203993 A204017 A021960 * A059750 A117036 A016723
Adjacent sequences: A096253 A096254 A096255 * A096257 A096258 A096259
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KEYWORD
| nonn,cons
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 31 2004
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