Dice Problem

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Quote: Ace2If you roll a single die 20 times, what is the probability you hit all six sides at least once?

If you roll 20 times, and for a specific successful case, 1,2,3,4,5,6,X,X....X,X, X can be any number from 1 to 6, the probability for this case = (1/6)^6 * (6/6)^14.

But you have 20!/ 6!/ 14! cases, Prob = (1/6)^6 * (6/6)^14 * 20!/ 6!/ 14! = 0.830761

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