Rolling Three Dice

Three standard dice, one with 4 sides, one with 6 sides, and one with 10 sides are rolled. The probability that all three dice show the same number can be expressed as ab\frac{a}{b} where aa and bb are positive coprime integers. What is the value of a+b?a + b?

Details and assumptions

A standard ii-sided die has sides numbered 1,2,,i1, 2, \ldots, i and each rolls with equal probability.

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