Join Date: Jan 2009
Posts: 4,987
The chance that AA beats AK is about 92%, so the chance it happens twice is about 85%. But that assumes those hands are dealt.
The chance of being dealt AA is roughly 0.45% and the chance your one opponent has AK given you have AA is about 0.65%. (it will be higher if there are several opponents )
Thus, a confrontation of AA vs AK will occur about once in 34,000 hands. The chance it happens twice in a row is roughly once in 1.15 million hands. Then that has to be adjusted to reflect two AA wins.
BUT: These results apply only if you asked, what is the probability of this occurring on my next two hands. It is likely millions of hands are played every day so this event will happen more often that you might think. You've been the lucky one this time.