Quote:
Originally Posted by yaqh
Yea, generally degree of polarization very important for deciding whether or not the player will have a betting range, while overall average equity isn't very important. The thing that makes me think he might not have a leading range is that he actually doesn't have too many strong value hands -- the top of his distn drops off pretty quickly. Of course, effective stacks and such matter here too. Post the actual hand/ranges/sizes here, if you want, and I'll take a look at the soln.
Cool thanks, here is the hand:
PokerStars Zoom No-Limit Hold'em, $2.00 BB (6 handed) - PokerStars Converter Tool from
http://www.flopturnriver.com
Button ($107.70)
SB ($201)
Hero (BB) ($200)
UTG ($235.99)
MP ($239.24)
CO ($241.26)
Preflop: Hero is BB with 9
, Q
3 folds,
Button bets $5,
1 fold, Hero calls $3
Flop: ($11) Q
, 3
, 10
(2 players)
Hero checks, Button checks
Turn: ($11) 7
(2 players)
Hero bets $7, Button calls $7
River: ($25) 9
(2 players)
Hero ??
Here are the ranges that I used for the river distribution:
Hero: 2c2h,2d2h,2d2c,2s2h,2s2c,2s2d,3c3h,3d3h,3d3c,4h3h, 4c3c,4d3d,5h4h,5c4c,5d4d,5s4s,6h4h,6h5h,6c4c,6c5c, 6d4d,6d5d,6s4s,6s5s,7c7h,7s5s,7s6s,7s7h,7s7c,8h6h, 8c6c,8d6d,8s6s,8s7s,9h8h,9h8c,9h8d,9h8s,9c8h,9c8c, 9c8d,9c8s,9s7s,9s8h,9s8c,9s8d,9s8s,Th7h,Tc7c,Ts7s, Ts8s,Ts9s,Jh8h,Jh9h,Jh9c,Jh9s,Jc8c,Jc9h,Jc9c,Jc9s, Jd8d,Jd9h,Jd9c,Jd9s,Js7s,Js8s,Js9h,Js9c,Js9s,Qh5h, Qh6h,Qh7h,Qh8h,Qh9h,Qh9c,Qh9s,QhTc,QhTs,QhJc,QhJd, QhJs,Qc5c,Qc6c,Qc7c,Qc8c,Qc9h,Qc9c,Qc9s,QcTh,QcTs, QcJh,QcJd,QcJs,Qd5d,Qd6d,Qd8d,Qd9h,Qd9c,Qd9s,QdTh, QdTc,QdTs,QdJh,QdJc,QdJs,Kh2h,Kh3h,Kh4h,Kh5h,Kh6h, Kh8h,Kh9h,Kh9c,Kh9s,KhTc,KhTs,KhJc,KhJd,KhJs,Kc2c, Kc3c,Kc4c,Kc5c,Kc6c,Kc8c,Kc9h,Kc9c,Kc9s,KcTh,KcTs, KcJh,KcJd,KcJs,Kd2d,Kd3d,Kd4d,Kd5d,Kd6d,Kd8d,Kd9h, Kd9c,Kd9s,KdTh,KdTc,KdTs,KdJh,KdJc,KdJs,Ks2s,Ks4s, Ks5s,Ks6s,Ks7s,Ks8s,Ks9h,Ks9c,Ks9s,KsTh,KsTc,KsJh, KsJc,KsJd,Ah2h,Ah3h,Ah4h,Ah5h,Ah5c,Ah5d,Ah5s,Ah6h, Ah6c,Ah6d,Ah6s,Ah8h,Ah8c,Ah8d,Ah8s,Ah9c,Ah9s,AhTc, AhTs,Ac2c,Ac3c,Ac4c,Ac5h,Ac5c,Ac5d,Ac5s,Ac6h,Ac6c, Ac6d,Ac6s,Ac8h,Ac8c,Ac8d,Ac8s,Ac9h,Ac9s,AcTh,AcTs, Ad2d,Ad3d,Ad4d,Ad5h,Ad5c,Ad5d,Ad5s,Ad6h,Ad6c,Ad6d, Ad6s,Ad8h,Ad8c,Ad8d,Ad8s,Ad9h,Ad9c,Ad9s,AdTh,AdTc, AdTs,As2s,As4s,As5h,As5c,As5d,As5s,As6h,As6c,As6d, As6s,As7s,As8h,As8c,As8d,As8s,As9h,As9c,AsTh,AsTc
Villain: 3d2d,4d2d,4d3d,5d3d,5d4d,6d4d,6d5d,7h5h,7h5c,7h5d, 7h5s,7h6h,7h6c,7h6d,7h6s,7c5h,7c5c,7c5d,7c5s,7c6h, 7c6c,7c6d,7c6s,7c7h,7s5h,7s5c,7s5d,7s6h,7s6c,7s6d, 7s7h,7s7c,8h7h,8h7c,8h7s,8c7h,8c7c,8c7s,8c8h,8d5d, 8d6d,8d7h,8d7c,8d7s,8d8h,8d8c,8s7h,8s7c,8s8h,8s8c, 8s8d,9h7h,9h7c,9h7s,9c7h,9c7c,9c7s,9c9h,9s7h,9s7c, 9s9h,9s9c,Th5h,Th6h,Th7h,Th8h,Th8c,Th8d,Th8s,Th9h, Th9c,Th9s,Tc5c,Tc6c,Tc7c,Tc8h,Tc8c,Tc8d,Tc8s,Tc9h, Tc9c,Tc9s,Ts8h,Ts8c,Ts8d,Ts9h,Ts9c,Jh7h,JhTh,JhTc, JhTs,Jc7c,JcTh,JcTc,JcTs,JcJh,Jd2d,Jd3d,Jd4d,Jd5d, Jd6d,JdTh,JdTc,JdTs,JdJh,JdJc,JsTh,JsTc,JsJh,JsJc, JsJd,Qh2h,Qh4h,Qh5h,Qh6h,Qh7h,Qh7c,Qh7s,Qh8h,Qh8c, Qh8d,Qh8s,Qh9h,Qh9c,Qh9s,QhJh,QhJc,QhJd,QhJs,Qc2c, Qc4c,Qc5c,Qc6c,Qc7h,Qc7c,Qc7s,Qc8h,Qc8c,Qc8d,Qc8s, Qc9h,Qc9c,Qc9s,QcJh,QcJc,QcJd,QcJs,Qd2d,Qd4d,Qd5d, Qd6d,Qd7h,Qd7c,Qd7s,Qd8h,Qd8c,Qd8d,Qd8s,Qd9h,Qd9c, Qd9s,QdJh,QdJc,QdJd,QdJs,Kh7h,Kh7c,Kh7s,KhTh,KhTc, KhTs,Kc7h,Kc7c,Kc7s,KcTh,KcTc,KcTs,Kd2d,Kd3d,Kd4d, Kd5d,Kd6d,Kd7h,Kd7c,Kd7s,Kd8d,KdTh,KdTc,KdTs,Ks7h, Ks7c,KsTh,KsTc,AhTh,AhTc,AhTs,AcTh,AcTc,AcTs,Ad2d, Ad3d,Ad4d,Ad5d,Ad6d,Ad8d,AdTh,AdTc,AdTs,As7h,As7c, AsTh,AsTc,AsQh,AsQc,AsQd,AsAh,AsAc,AsAd
Sorry for spelling out the ranges like this, but there is no way around it in this example. The ranges are just a pretty rough estimate and very pessimistic for hero. Checking back ranges on flops like that are very villain dependent, but normally I do not think they check back most A- and K-high backdoor flushdraws like I let him here. Nevertheless, it is just an example and a solution will certainly be instructive.
Btw, I did some quick CREV calculations and the EV between having a leading range and checking everything seemed close. I did not give villain the opportunity to make large overbets though...