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What is the probability that at least two of the faces match when you roll three fair six-sided dice? Express your answer as a common fraction.

 Aug 13, 2018
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first die:  any number
second die:  prob 5/6 that it is different from first
third die:      prob  4/6 that it is different from first two

So, the probability they are all different=6/6 x 5/6 x 4/6 =120/216

So, the probability that at least 2 of them show the same face is:

1 - 120/216 = 96 / 216 =44.44%

 Aug 13, 2018

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