Help with odds

Hi, I have lurked here for some time and figured someone who is better at math than me could help with this.

I have to admit that I have been suspicious of the legitimacy of the randomness of the online poker room that I play in. But I've enjoyed my share of success in STT's so I don't worry about it too much.

Last night I witnessed A royal flush, which was cool. It was alao the 4th on I've seen in 3 months. I play about 5 games a night 3-5 times a week. Seems a bit high but I don't really know the frequency that I should expect to see them.

The part that struck me with this one though is that it was immediatly followed by a hand with two sets of pocket Aces with only 7 people at the table.

So after all that what I'm really looking for is what are the odds of what I saw happening.

By the way this is in no way to try to prove a conspiracy. It just seems that the odds would be enormous for this to happen.

Thanks