Originally Posted by CSflim

Mantus: Do you mean what are the chances of rolling at least one 2 or rolling exactly one 2? I presume the former.

The easist way to do this is to think "what are the chances of me rolling NO 2s?"

On a single roll, the probability of not rolling a 2 is 5/6.
Hence the probability of not rolling a 2 ten times in a row is (5/6)¹⁰.

So the probability of NOT not rolling a 2 is one minus this:
1 - (5/6)¹⁰