Calculating odds of rolling a given total with a specified number of dice
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06-15-2015, 06:59 PM
Post: #2
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RE: Calculating odds of rolling a given total with a specified number of dice
(06-15-2015 03:25 PM)Dave Britten Wrote: For example, what are the odds of rolling a total of 22 on 9 dice? (It's about 1.45% in this case.) It's the coefficient of \(x^{22}\) in: \( (\frac{x^6}{6}+\frac{x^5}{6}+\frac{x^4}{6}+\frac{x^3}{6}+\frac{x^2}{6}+\frac{x}{6})^9 \) The exact value is: \(\frac{16211}{1119744}\) Cheers Thomas |
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