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:In [[http://en.wikipedia.org/wiki/Craps standard craps]], "hard six" specifically refers to the combination 3-3 on two dice. You can roll a six 5 different ways (1-5,2-4,3-3,4-2,5-1) only 1 of which is "hard". When a player needs a six, any of the combinations will do. The odds against making a ''hard'' six are 10-1, since only 1 outcome is favorable and 10 are unfavorable (namely, the other 4 ways to make a six, and all 6 ways to make a seven). So the symmetry and low frequency of 3-3 lead to its special designation. The same is true of hard 4, 8 and 10. There is no "hard 2" or "hard 12" for a variety of reasons including the obvious one (there's only one way to roll them anyhow). --[[User:JohnH|JohnH]] 12:40, 29 January 2006 (EST) | :In [[http://en.wikipedia.org/wiki/Craps standard craps]], "hard six" specifically refers to the combination 3-3 on two dice. You can roll a six 5 different ways (1-5,2-4,3-3,4-2,5-1) only 1 of which is "hard". When a player needs a six, any of the combinations will do. The odds against making a ''hard'' six are 10-1, since only 1 outcome is favorable and 10 are unfavorable (namely, the other 4 ways to make a six, and all 6 ways to make a seven). So the symmetry and low frequency of 3-3 lead to its special designation. The same is true of hard 4, 8 and 10. There is no "hard 2" or "hard 12" for a variety of reasons including the obvious one (there's only one way to roll them anyhow). --[[User:JohnH|JohnH]] 12:40, 29 January 2006 (EST) | ||
:: Thanks, John. This has been bugging me for a long time, too. Now we all know. --[[User:Day|Day]] 13:05, 29 January 2006 (EST) | :: Thanks, John. This has been bugging me for a long time, too. Now we all know. --[[User:Day|Day]] 13:05, 29 January 2006 (EST) | ||