Probability question

[Talking Poker]

I've decided to settle this once and for all, so I'm spending some time here creating a simulation. What I'm going to test is (approximately) this:

I'm going to force the above three flops and run run 100,000 hands with 10 opponents each for a total of 1 million hands dealt for each scenario. I will then see how many times AA was dealt to each player, and compare the totals.

I believe that AA will be dealt more times when the flop is A92 than when it is AA9 or AAA. Please correct me if I am wrong, but I believe MathBabe thinks that AA will be dealt the same number of times regardless of the flop (well, between the AA9 and A92 flops). Is that correct, MB?

I haven't run this yet, so I don't KNOW the answer. But I'm going to find out and we are going to settle this today.