Quote:
Originally Posted by Outlaw
There is less than a 4% chance of someone having AA when you have KK on a FR table. 20% of those 4% times, you will win anyways.. so why bother ever even thinking of folding?
You can throw the 4% number out the window based on playing conditions. A very, very, large three bet puts the conditional probability at many multiples of that figure.
I would estimate that 90-95% of the time the range is JJ to AK. I'd leave another 5-10% or so for a player who has lost his mind. I do NOT believe that JJ to AK are equally likely based on their random distributions. I would tilt the probabilities toward the higher end given the play of the hand.
It might be tempting to assign probabilities based on the number of combinations that can be dealt.
AK 8 combinations (two K's mssing)
AA 6 combinations
KK 1 combination
QQ 6 combinations
JJ 6 combinations
6 /27 = 22% likelihood of AA
Even based on the above reasoning 4% is clearly wrong. Furthermore, I believe that the above STILL underestimates the AA probability. I believe that the probability distribution above is WRONG. The play of the hand requires giving a greater weight to AA and a lesser weight to JJ based on the PLAY of the hand....IOW one should take into account conditional probability.
To elaborate, the thinking is that we might occasionally find that someone plays JJ or AK this way but we would also expect that a rational player would call very often. We would EXPECT (rationally) a player w AA to play exactly this way, in other words to re-raise. I would roughly double the 22% probability above and call it 30-40%.