QUOTE (Royal_Tour @ Monday, May 21st, 2007, 8:51 PM)

i was thinking more along the lines of button having (2 pair / set) and if BB comes along, with the possibility of a bigger FD, then we're drawing slim.
you cant be serious to think that a J,or 10 will be good if its 3 way all in
The only way we don't have a ton outs if it's a 3 way all in, is if we're up against a set, AND a higher flush draw. Even that gives us 4 outs twice. Obviously, that's not a good situation for our stack, however, we'd be getting a decent return:
If we were to get our entire stack in here, 3 ways, the pot would be $612.6 (including our stack). We've already invested $27 of our $218.80, so we'd have $191.80 to call, and we'd be winning $420.80. This gives us effective odds of 2.194-1. That means we'd need 31.3% equity to break even.
Here is how I'm arriving at my ranges. Bear with me as I work through this.
Button is loose, so he can have a lot of hands. I gave him the following range in the earlier post: JJ-99,77,44,Ad4d,97s,8d6d,8d5d,6d5d,97o, that gives him all sets, even TT/JJ overpairs that may not reraise pf, the only pair + nut flush draw available, two pair combos of 97, the OESF draw, even the other 2 gutshot SF draws.
The be honest, without any info about the BB, I could see him playing a pretty similar range, but I'll modify it a little based on flop play. Let's give him JJ-99,77,44,Ad4d,97s,8d6d,8d5d,6d5d,97o,AdKd,AdQd,KdQd. This just gives him a few more higher flush draws. I was going to take away the possibility of him having a set or two pair because it would be a trivially easy flop raise for him, looking for protection, but I'm not sure if I should give him that much credit yet.
Any arguments here? I find it tough to assign these guys ranges. Here's how we stack up against these particular raises, anyways:
CODE
623,070 games 0.015 secs 41,538,000 games/sec
Board: 9d 7d 4s
Dead:
equity win tie pots won pots tied
Hand 0: 35.054% 34.84% 00.21% 217095 1317.00 { JdTd }
Hand 1: 33.878% 32.48% 01.40% 202361 8723.00 { JJ-99, 77, 44, Ad4d, 97s, 8d6d, 8d5d, 6d5d, 97o }
Hand 2: 31.068% 29.68% 01.39% 184932 8642.00 { JJ-99, 77, 44, AdKd, AdQd, Ad4d, KdQd, 97s, 8d6d, 8d5d, 6d5d, 97o }
We're better than we need to be, so it's actually +EV.
Now, I'm torn on the BB having set/2 pair type hands because I think they'd raise such a draw heavy flop, so for the sake of argument, I'm going to take those out of his range, and see what we get:
CODE
Board: 9d 7d 4s
Dead:
equity win tie pots won pots tied
Hand 0: 32.119% 31.84% 00.28% 95457 834.00 { JdTd }
Hand 1: 47.834% 47.76% 00.07% 143186 219.00 { JJ-99, 77, 44, Ad4d, 97s, 8d6d, 8d5d, 6d5d, 97o }
Hand 2: 20.047% 19.84% 00.21% 59479 621.00 { JJ-TT, AdKd, AdQd, Ad4d, KdQd, 8d6d, 8d5d, 6d5d }
Heh, I thought that would actually increase our equity, but it actually makes it worse, just because the BBs range is heavy with FD hands, taking some of our outs vs button's potential set/2 pair, etc. Nonetheless, it's still better than the 31.3% equity we need to break even.
Let's say now we give BB a small chance of having a set, say we assign only 77 instead of all 3 sets (meaning it allows for him to poorly slowplay it 1/3rd of the time), and say only suited 97s (allowing for even less chance of a slowplay, although that works out to being only 3/12 card combos).
Anyways:
CODE
Board: 9d 7d 4s
Dead:
equity win tie pots won pots tied
Hand 0: 33.498% 33.25% 00.25% 133915 993.00 { JdTd }
Hand 1: 40.962% 40.22% 00.74% 161975 2994.00 { JJ-99, 77, 44, Ad4d, 97s, 8d6d, 8d5d, 6d5d, 97o }
Hand 2: 25.540% 24.74% 00.80% 99624 3237.00 { JJ-TT, 77, AdKd, AdQd, Ad4d, KdQd, 97s, 8d6d, 8d5d, 6d5d }
Again, greater than 31%.
Of course, my ranges could be off, but with this information, we're getting the price to call/shove.
- Zach