Fascinating. I've seen a few remarkable showdowns between AQ and KK, I never would have guessed the odds were quite so tilted in KK's favour.
Yup, it's a classic poker situation referred to as a "race".
Interesting visualization!
Texas Hold'em Hand Strength, Visualized
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Re: Texas Hold'em Hand Strength, Visualized
#12Looks like you used heads up hand strengths, and then full-table hand frequencies, and computed weighted hand strenghts based on that--which is a mistake, of course.
Re: Texas Hold'em Hand Strength, Visualized
#13Re: Texas Hold'em Hand Strength, Visualized
#14I thougt that a 2 and a 7 were the worst, but here a 2 and 3 has -35.4% win%-lose% while 2 and 7 has a slightly better -30.8% win%-lose% (second diagram). Any idea what the difference is?
Not a poker expert by far, but this could be because 2/3 can only participate in three straight draws (A2345,23456,34567) whereas 2/7 can be in seven straight hands. (A2345, 23456, 34567, 45678, 56789, 6789T, 789TJ)
Suffice it to say that no, that's not the reason.
The reason is entirely high-card strength vs all the hands including cards less than 7, like 65, 64, etc.
EDIT: And the value of pairing the 7 vs pairing the 3, again where high card strength matters--6X pairing the 6 won't matter as often.
Given there's only two hands, they are somewhat likely to showdown unimproved, not making a pair or better. If you analyzed ten handed tables, 2-7 fares the worst.
Re: Texas Hold'em Hand Strength, Visualized
#15Fascinating. I've seen a few remarkable showdowns between AQ and KK, I never would have guessed the odds were quite so tilted in KK's favour.
AQ, AJ and A10 are all deceptively okay hands (not exceptional like AA, AK, KK, not quite mediocre like J10, QJ) because of the Ace.
Re: Texas Hold'em Hand Strength, Visualized
#16Looks like you used heads up hand strengths, and then full-table hand frequencies, and computed weighted hand strenghts based on that--which is a mistake, of course.
Could you expand on this please.
Re: Texas Hold'em Hand Strength, Visualized
#17Re: Texas Hold'em Hand Strength, Visualized
#18Re: Texas Hold'em Hand Strength, Visualized
#19This doesn't consider the post-flop strategy though. Since heads-up limit holdem has been solved, it would be interesting to look at the EV of the hand with the optimal play. I would think hands like 22 should have been weaker than show down value suggested..
Re: Texas Hold'em Hand Strength, Visualized
#20Looks like you used heads up hand strengths, and then full-table hand frequencies, and computed weighted hand strenghts based on that--which is a mistake, of course.
Could you expand on this please.
Yeah, so he's using heads-up hand strengths. So how well QQ fares vs all other hands, for instance, but only one hand at a time. (It's not QQ in a pot with 9 other hands.)
Then he computing weighted hand strengths based on frequency of opponents playing a hand. So now QQ doesn't win as often, given that the opponent doesn't play 27o very often so you don't actually get to win hands vs 27o (they don't occur).
BUT to determine how often an opponent plays a given hand, he's using the IRC poker database, which is full-table hands. So we see that people play K7 infrequently, for instance, which is true at a full ring game. But in a heads-up match, K7 is played very, very frequently. 85%+ I'd say, but easily 75%. [1]
[1] I played heads-up poker professionally for a few years. I logged millions of hands.