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Equity on backdoor low draws

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Equity on backdoor low draws

Postby Kuso » Fri Nov 10, 2006 9:23 pm

i just wanted to share some numbers on equity when drawing for a bare low. some comments:

- this sim assumes that you have absolutely no chance for high, and this is often not a valid assumption. as such, you often need to adjust these values up a bit.

- this assumes that all of your low outs available. this is also usually not true, so the numbers often need to be adjusted downwards a bit for this.

- of course, you can't see villain's hand, so you have no idea about whether you run the risk of getting quartered. again, this requires a downward adjustment.

- villain has quads with no low cards and hero can only go for low.

- note that the 4th low card adds very little additional equity over the third for the low draw, but in reality it can sometimes give you some equity for backdoor straight draws.

- note that the chance of the draw coming in is twice the equity, but since you only get half the pot....


two low cards = 10%

http://twodimes.net/h/?z=2175452
pokenum -o8 kh kd qh qd - 2h 3d 9s tc -- kc ks 8c
Omaha Hi/Low 8-or-better: 820 enumerated boards containing Ks Kc 8c
cards scoop HIwin HIlos HItie LOwin LOlos LOtie EV
Kd Qd Kh Qh 660 820 0 0 0 0 0 0.902
9s Tc 3d 2h 0 0 820 0 160 0 0 0.098


three low cards = 14.6%

http://twodimes.net/h/?z=2175455
pokenum -o8 kh kd qh qd - 2h 3d 4s tc -- kc ks 8c
Omaha Hi/Low 8-or-better: 820 enumerated boards containing Ks Kc 8c
cards scoop HIwin HIlos HItie LOwin LOlos LOtie EV
Kd Qd Kh Qh 580 820 0 0 0 0 0 0.854
4s Tc 3d 2h 0 0 820 0 240 0 0 0.146


four low cards = 15%

http://twodimes.net/h/?z=2175458
pokenum -o8 kh kd qh qd - 2h 3d 4s 5c -- kc ks 8c
Omaha Hi/Low 8-or-better: 820 enumerated boards containing Ks Kc 8c
cards scoop HIwin HIlos HItie LOwin LOlos LOtie EV
Kd Qd Kh Qh 574 820 0 0 0 0 0 0.850
4s 5c 3d 2h 0 0 820 0 246 0 0 0.150
wwcrd?

"that basically sums up poker for me - 12" needle in the testicle." <nutkick> mvp
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