# odds of rolling 6 of a kind

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• Sep 9th 2011, 11:48 AM
wshore
odds of rolling 6 of a kind
I need to know the odds of rolling 6 of the same number on a single roll of 6 standard dice. Can you please include a brief description of how your answer was calculated?
Thank you.
• Sep 9th 2011, 11:57 AM
Plato
Re: odds of rolling 6 of a kind
Quote:

Originally Posted by wshore
I need to know the odds of rolling 6 of the same number on a single roll of 6 standard dice. Can you please include a brief description of how your answer was calculated?

There are $6^6$ possible outcomes of tossing six dice.
There is only way one to get all ones.
There is only way one to get all twos.
.
.
.
There is only way one to get all sixes.

So what is the answer?
• Sep 9th 2011, 12:12 PM
wshore
Re: odds of rolling 6 of a kind
How about the odds of rolling 6 sixes?
• Sep 9th 2011, 12:18 PM
Plato
Re: odds of rolling 6 of a kind
Quote:

Originally Posted by wshore
How about the odds of rolling 6 sixes?

The probabiity of rolling six 6's is $\frac{1}{6^6}$.
• Sep 9th 2011, 12:24 PM
wshore
Re: odds of rolling 6 of a kind
Thank you.