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Given $3$ dice, what is the value of the sum of the number of the $3$ dice most likely to appear? I know that by symmetry, there would always be $2$ different values with the same probability to appear, however I don't know which pairs appear with the highest chance.

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    An extensive analysis of the general problem is given at http://stats.stackexchange.com/questions/3614/how-to-easily-determine-the-results-distribution-for-multiple-dice You can use the formulas to make a table of the possible sums and their probability and then find your value.2012-06-20

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