Probability question

[!Luck]

I was just wondering I was in a six handed game and I was holding qj. A jack came up on the flop. I was wondering what was the probability of someone else holding a jack and a card higher than a queen.
My attempt?
A B
(45/47) +(39/47) ) I am sure that is for the first card. For the second I was not so sure. My guess it would be something like Not A *(B) + Not B(A) multiplying the probability for both cards than raising it to the 6th power. The number of opponents besides me. How wrong am I?

[Fnord]

My domination table will give you odds not counting the queen on the flop, but it also accounts for AA, KK and QQ. So you're at least 85% good here.