Flush on Stud - Help

[kav]

Hello.

I'm trying to calculate the probability of making a flush in stud when my first three cards are of the same suit. Suppose I have no opponents, otherwise I'll go crazy [img]/images/graemlins/smile.gif[/img]

Is this right?

(10/49 * (9/48 + 9/47 + 9/46)) + (10/48 * (9/47 + 9/46)) + (10/47 * 9/46)

I tried to explain what I did by words, but I couldn't cause my english is kinda poor [img]/images/graemlins/blush.gif[/img], the numbers speak for themselves.

Cheers