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Here is a problem I recently found in a book on Probability:

When 'x' fair dice (which have six faces each) are rolled, derive the formula for the probability that the sum of the scores on the dice is a certain number 'n'.

Would anyone have an elegant approach to deriving this formula?

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    Mildly related: http://math.stackexchange.com/q/117022/64602012-03-07

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