Is there a way to calculate these two quantities if I'm throwing two twelve sided die and adding the results that's easier than going through all possible combination and their probabilities?

Thanks.

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- Feb 17th 2013, 07:14 PMkkarExpect value and standard deviation
Is there a way to calculate these two quantities if I'm throwing two twelve sided die and adding the results that's easier than going through all possible combination and their probabilities?

Thanks. - Feb 17th 2013, 07:35 PMPlatoRe: Expect value and standard deviation

Look at this webpage

Scroll down to the fully expanded form of the expression.

That gives you all the impossibles.

For example the term $\displaystyle 11x^{14}$ tells us that there eleven ways to roll a sum of fourteen. So the probability is $\displaystyle \frac{11}{144}$ of getting a sum of fourteen. - Feb 18th 2013, 11:25 AMkkarRe: Expect value and standard deviation
Thanks Plato!