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You can do it in 6 ways:

11111x

1111x1

111x1x

11x111

1x1111

x11111

Each has the same probability: (1/6)5 x (5/6) = 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 5/6 = 5/46656

So the probability is 5/46656 x 6 = 5/7776

You can use the binomial theorem so answer more complex questions like these.

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Q: What are the odds of rolling five ones with a dice in six tries?
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