Cross post from PLO forum. Maybe more capable members will see it here...

Cross post from the probability forum since it's a specific question to PLO and PLO6...

Case 1 - PLO

Say I am holding AQK9 and flop comes out Q Q 9...
Ignoring preflop action and player-specific ranges, what are the odds of my opponent holding the case Q? What about the odds multiway? One of 2 opponents holding the case Q? One of 3 opponents holding the case Q? 4 opponents?

Case 2 - PLO6

Say I am now holding AKQJ97. Flop comes out Q Q 9 again. Same question as case 1... HU? Vs 2 opponents? 3 and 4 opponents?

I know I am asking a lot, but can you show some procedure? I would really like to learn to do this myself so I don't have to ask again and so I can help others with similar questions.

If there are n villains in PLO, then they have 4n cards combined out of 45 unknown cards. What's the probability that the Q is among those 4n cards?