Ok here's my question:

If a soccer team has a 1 in 10 chance of winning the league and a 1 in 20 chance of winning the cup, what is the probability of this team "doing the double"?

I think the answer is 1/200, but I would just like to clarify this with you, and would like to know how you came to your answer?

Any help from you would be really appreciated. Thank you.