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Total number of outcomes = 6 x 6 x 6 = 216

Number of ways that are successful:

1 1 -

1 - 1

- 1 1

1 1 1

2 2 -

2 - 2

- 2 2

2 2 2

3 3 -

3 - 3

- 3 3

3 3 3

etc.

Four ways for each number 1 thru 6 = 24 possible successes. But for each of the one's with a dash (-), there are 5 outcomes (121, 131, 141, 151, 161, 211, 311,411,...etc), so the real number of ways for this to happen is 16 ways for each number: 6 x 16 = 96.

Probability of success = 96/216 = 4/9 = 44.4% (rounded)

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Q: Three fair dice are tossed What is the probability that at least two of them show that same face?
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