Two cool things about dice!

Just discover two cool things about dice, Suppose we have two (fair) 6-sided dice, let \(Y\) be the reminder of the product of the two numbers divided by 7, i.e., \(Y = X1 \times X2 (\text{ mod } 7)\), guess what the distribution of \(Y\) is? Uniform 1,..., 6

If it …

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