You hold two cards.

50 unknown cards. 11 of your suit left.
If it's only 1 other player at the table, his odds are 11 / 50 * 10 / 49 = 4.49%
8 other players at the table, you don't quite multiply that by 8, but that'sa good place to start.

4.49% * 8 = about 36%.

It will be less than that. I'm going to say the answer is in the range of 25% to 30%.

Anybody who wants to run the numbers more conclusively, I'd be interested.