there is a forum strickly for
probability .
I can't answer your question with any accuracy other then to say, if you are right, and he has a Qx, you are dominating him and made the very correct move (if he called you).
You have to realize if he has a Q, he still needs 2 cards to beat you, because if he gets another Q, you'll have a full house vs his 3 of a kind. His best chance is if he has 2 pair going into turn (unless he setted Q's)