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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, 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; cons; graph; listen)

	OFFSET	`0,2`
	COMMENT	`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.`
	LINKS	`Southwest Missouri State University Challenge Problem Archive, Yahtzee!.` `Hasbro, Yahtzee Instructions (pdf document), Milton Bradley Company, 1996.`
	FORMULA	`a(n) = decimal digits of 347897/7558272.`
	EXAMPLE	`0.0460286425...`
	PROGRAM	`(PARI)`
	CROSSREFS	`Sequence in context: A070683 A106145 A021960 this_sequence A059750 A117036 A016723` `Adjacent sequences: A096253 A096254 A096255 this_sequence A096257 A096258 A096259`
	KEYWORD	`nonn,cons`
	AUTHOR	`Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 31 2004`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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