Mode of 3 Dice

Discrete Mathematics Level 4

I roll 3 fair six-sided dice (with faces \(1,2,3,4,5,6\)).

The probability the mode of the 3 numbers is 6 can be expressed in the form \(\dfrac{x}{y}\) for comprime, positive \(x\) and \(y\). Enter \(y-x\).

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