Omaha Hi/low % of hands scooped? - Gambling and Probability

parisron · 05-29-2012, 10:31 PM

What % of all hands dealt in limit omaha hi/low 8 or better are either scooped or there is no low possible on board?

Also, what is the % chance that at least 1 person at 10 handed table will be dealt A2 among their cards?

Any answers are welcome and a link to find this info would be better, Thanks.

tringlomane · 05-31-2012, 01:07 AM

I meant to make a quick post about this hrs ago...oops.

There are low boards 60.1% of the time, so boards without a low will occur 39.9% of the time. The scooping %age will be technically player dependent since it depends on folding. In a no fold'em scenario, the scoop happens roughly 40.64% via simulation 10-handed. Using pql:

Code:

select count(scoops(p1) or scoops(p2) or scoops(p3) or scoops(p4) or scoops(p5) or scoops(p6) or scoops(p6) or scoops(p7) or scoops(p8) or scoops(p9) or scoops(p10))
from game="omaha8", p1='****', p2='****', p3='****', p4='****', p5='****', p6='****', p7='****', p8='****', p9='****', p10='****'

http://people.math.sfu.ca/~alspach/comp1/

As for at least one player getting A2, an approximation is 1- (1-0.06396)^10 = 48.4% based upon math linked below. However, dealt hands among individuals are not independent, so this answer isn't exact.

http://www.twoplustwo.com/magazine/i...a-8-better.php

parisron · 05-31-2012, 01:19 AM

Quote:

Originally Posted by tringlomane

I meant to make a quick post about this hrs ago...oops.

There are low boards 60.1% of the time, so boards without a low will occur 39.9% of the time. The scooping %age will be technically player dependent since it depends on folding. In a no fold'em scenario, the scoop happens roughly 40.64% via simulation 10-handed. Using pql:

Code:

select count(scoops(p1) or scoops(p2) or scoops(p3) or scoops(p4) or scoops(p5) or scoops(p6) or scoops(p6) or scoops(p7) or scoops(p8) or scoops(p9) or scoops(p10))
from game="omaha8", p1='****', p2='****', p3='****', p4='****', p5='****', p6='****', p7='****', p8='****', p9='****', p10='****'

http://people.math.sfu.ca/~alspach/comp1/

As for at least one player getting A2, an approximation is 1- (1-0.06396)^10 = 48.4% based upon math linked below. However, dealt hands among individuals are not independent, so this answer isn't exact.

http://www.twoplustwo.com/magazine/i...a-8-better.php

So as far as 1 winner pots, what would be the % you would estimate.
Im not sure if when you say scoop that includes when there is no low and only 1 person wins.

As far as the A2, according to the link it would be 64%, correct?