# Thread: odds of rolling 6 of a kind

1. ## 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.

2. ## Re: odds of rolling 6 of a kind

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 $\displaystyle 6^6$ 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.

3. ## Re: odds of rolling 6 of a kind

How about the odds of rolling 6 sixes?

4. ## Re: odds of rolling 6 of a kind

Originally Posted by wshore
How about the odds of rolling 6 sixes?
The probabiity of rolling six 6's is $\displaystyle \frac{1}{6^6}$.

Thank you.