
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%.