Posted by Dr Fro 2:27 PM
You probably know that the odds of getting AA on any hand is 1 in 221.
If you played 221 hands, do you know what the odds are that you would be dealt AA at least once? This may surprise you. It is 63% chance.
At 30 hands per hour, you would need to play 5.1 hours to even be more likely than not (i.e. >50%) to get dealt AA.
There is no amount of hands you can play to make it certain, of course. But do you know how many hours (at 30 hands per hour) you need to play to even have a 90% of getting AA at least once? Just under 17 hours. So if you play at about 3 hours per session, you would have to play 6 sessions to be 90% sure that you would get AA once.