tag:blogger.com,1999:blog-7718462793516968883.post5194288073611804519..comments2021-04-10T08:19:35.051-04:00Comments on MadMath: Dice DistributionsDeltahttp://www.blogger.com/profile/00705402326320853684noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-7718462793516968883.post-9713371017268289372013-12-01T14:49:54.661-05:002013-12-01T14:49:54.661-05:00Very nice! Keep in mind that 2d6 isn't really ...Very nice! Keep in mind that 2d6 isn't really a normal distribution, it's more like a (discrete) <a href="http://en.wikipedia.org/wiki/Triangular_distribution" rel="nofollow">triangular distribution</a>. Of course, as you increase the dice (sample size), it gets closer and closer to really normal (by the <a href="http://en.wikipedia.org/wiki/Central_limit_theorem" rel="nofollow">CLT</a>). A very nice and polished app, thank you!Deltahttps://www.blogger.com/profile/00705402326320853684noreply@blogger.comtag:blogger.com,1999:blog-7718462793516968883.post-40646418143396675042013-11-29T03:13:00.868-05:002013-11-29T03:13:00.868-05:00I took a look into this a while back and while it ...I took a look into this a while back and while it is not a excel spreadsheet with formulae, you can fiddle with some of the parameters real-time to see changes to the curve.<br /><br />http://www.avanderw.co.za/dice-distributions/Andrew van der Westhuizenhttps://www.blogger.com/profile/00517204322962448769noreply@blogger.comtag:blogger.com,1999:blog-7718462793516968883.post-48216148896178685832009-02-13T12:06:00.000-05:002009-02-13T12:06:00.000-05:00My intuition was that it would be a normal curve, ...<I>My intuition was that it would be a normal curve, and I was somewhat shocked to see that it is in fact stair-stepped.</I><BR/><BR/>Yes, technically that gets referred to as a "triangular distribution" (if you connect the top-middle of each bar you get a perfectly straight line on either side). You get that whenever you take a sum of 2 uniform distributions.<BR/><BR/>Oh, and: Go to hell!!Deltahttps://www.blogger.com/profile/00705402326320853684noreply@blogger.comtag:blogger.com,1999:blog-7718462793516968883.post-12919240275815939122009-02-11T23:56:00.000-05:002009-02-11T23:56:00.000-05:00A few years back when I started playing Settlers o...A few years back when I started playing Settlers of Cataan (a game where 2 dice are rolled), I took a closer look at the distribution of 2d6 (pretty important for that game). My intuition was that it would be a normal curve, and I was somewhat shocked to see that it is in fact stair-stepped. It's nice, though, to see that normal curve develop with more dice.<BR/><BR/>p.s. This math installment doesn't seem all that angry... I think ANGRYMATH is mellowing... ;-)BostonQuadhttps://www.blogger.com/profile/15739476475159681555noreply@blogger.com