http://oliverjenkins.com/2005/11/backgammon-and-the-frequency-of-dice-rolls/ Oliver jenkins, my place on the web. This site contains my projects and ideas across PHP, databases, XHTML / CSS and the web Thu, 28 Aug 2008 02:13:22 +0000 http://wordpress.org/?v=2.0.3 http://oliverjenkins.com/2005/11/backgammon-and-the-frequency-of-dice-rolls/#comment-639 Mon, 05 Feb 2007 18:54:31 +0000 http://oliverjenkins.com/2005/11/backgammon-and-the-frequency-of-dice-rolls/#comment-639 Your right of course. Bit of an embarrassment really, but it appears that I forgot about doubles counting twice. Will re-calculate when I get a moment. Oliver http://oliverjenkins.com/2005/11/backgammon-and-the-frequency-of-dice-rolls/#comment-627 Sun, 04 Feb 2007 17:33:23 +0000 http://oliverjenkins.com/2005/11/backgammon-and-the-frequency-of-dice-rolls/#comment-627 I think your calculations are incorrect. It may be my understanding of what you are trying to show. I think 11 is equally common as 12 and 1 should be much, much more common. The way I am thinking, all the rolls less than 7 would be more common than those requiring two dice, though I can't immediately prove either completely. A roll of 11 must be a 5-6 or 6-5, or two possibilities of the 36 possible outcomes. A roll of 12 can be 6-6 or 4-4, also 2 of 36. Wouldn't they have equal probability? Your chart, however shows 10 as more likely than 1. A roll of 10 can be 6-4, 4-6, or 5-5, but a move of 1 can result from any of the 11 outcomes with a 1 showing, 1-* and *-1, minus 1-1 so it isn't counted twice.