CrosshairCollie Posted October 19, 2004 Report Share Posted October 19, 2004 I have no idea how to do the math on this, so I'm asking here, since there's a lotta smart people around. On any number of (six-sided) dice from 2 to 6, what are the odds of rolling *at least* one six? The total number of sixes doesn't matter, so long as there's one. (And since I'm not sure I said it right, I was wanting probabilities for 2, 3, 4, 5, and 6 dice). Rep and big thanks to anybody who can help me with this. Quote Link to comment Share on other sites More sharing options...
Just A Guy Name Posted October 19, 2004 Report Share Posted October 19, 2004 Re: Probability? On any number of (six-sided) dice from 2 to 6' date=' what are the odds of rolling *at least* one six? The total number of sixes doesn't matter, so long as there's one. (And since I'm not sure I said it right, I was wanting probabilities for 2, 3, 4, 5, and 6 dice).[/quote']Heh, my combinatorics failed me, so I had to do this longhand For any number, n, of 6-siders, the odds of rolling at least one six should be: (6n - 5n)/6n. Quote Link to comment Share on other sites More sharing options...
Tom McCarthy Posted October 19, 2004 Report Share Posted October 19, 2004 Re: Probability? I think you want 1- (5/6)^n, where n is the number of dice. I get the following: 1 die 16.67% of one or more sixes 2 dice 30.56% of one or more sixes 3 dice 42.13% of one or more sixes 4 dice 51.77% of one or more sixes 5 dice 59.81% of one or more sixes 6 dice 66.51% of one or more sixes Quote Link to comment Share on other sites More sharing options...
Intrope Posted October 19, 2004 Report Share Posted October 19, 2004 Re: Probability? I'd chip in myself (math minor! OK, I'm a geek), but Tom and Just have already given the correct answer (they both gave the same answer). Quote Link to comment Share on other sites More sharing options...
Fireg0lem Posted October 20, 2004 Report Share Posted October 20, 2004 Re: Probability? Just for hoots, why this technique works: Since there is a 1/6 chance of rolling a six on a die, there is a 5/6 of not rolling a six. The chance of not rolling any sixes on n dice is thus (5/6)^n, so the chance of not not rolling any sixes (ie, rolling at least one six) is, as has been said, 1-(5/6)^n. Quote Link to comment Share on other sites More sharing options...
Frenchman Posted October 20, 2004 Report Share Posted October 20, 2004 Re: Probability? I've been wondering this too for a while, and while I've got you guys on the line, maybe yoiu could answer me (and the rest of us math-idiots out here) this question: What is the probability of rolling 2 or more 6's on a number of dice? How about 3 or more, etc...? Quote Link to comment Share on other sites More sharing options...
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