HangukMiguk
Wednesday, March 19th, 2008, 1:31 AM
Reread the thread, you are misunderstanding what he's talking about:
QUOTE (DanielNegreanu @ Sunday, August 27th, 2006, 2:17 AM)

Let's say, for example, that you put your opponent on pocket aces or pocket kings. You, on the other hand, hold 6h-7h, and the flop comes 3h-8h-9s. To improve to the best hand, you could hit one of the nine remaining hearts to make a flush, or six other cards -- 10s or 5s -- to fill the straight. Don't include the 10h or 5h because they've already been counted in the flush category. That would certainly be considered a monster draw! You'd have 15 outs with two cards still to come.
In fact, it would make your hand the best hand. Obviously, your seven-high doesn't beat A-A, but your hand will win more often than the aces will; your monster draw will improve to the best hand a little more than 56 percent of the time.
He's talking about something like an Overpair vs. a pair + Open Ended Straight flush draw, or Top Pair vs Two Overs + Flush Draw. Which is quite different than a set vs. any of those two.
Example from Daniel:
Text results appended to pokerstove.txt
11,880 games 0.037 secs 321,081 games/sec
Board: 3h 8h 9s
Dead:
equity win tie pots won pots tied
Hand 0: 46.061% 46.06% 00.00% 5472 0.00 { KK+ }
Hand 1: 53.939% 53.94% 00.00% 6408 0.00 { 7h6h }
---
My Top Pair vs. Overcard+FD example:
Text results appended to pokerstove.txt
990 games 0.001 secs 990,000 games/sec
Board: 3h 8h 9c
Dead:
equity win tie pots won pots tied
Hand 0: 47.071% 47.07% 00.00% 466 0.00 { Ts9s }
Hand 1: 52.929% 52.93% 00.00% 524 0.00 { AhKh }
Overpair vs. Pair+OESFD:
Text results appended to pokerstove.txt
990 games 0.001 secs 990,000 games/sec
Board: 9c 8d 7d
Dead:
equity win tie pots won pots tied
Hand 0: 34.444% 33.54% 00.91% 332 9.00 { AcAs }
Hand 1: 65.556% 64.65% 00.91% 640 9.00 { Td9d }
Your example:
---
Text results appended to pokerstove.txt
3,612 games 0.036 secs 100,333 games/sec
Board: 2c 7s 6s
Dead:
equity win tie pots won pots tied
Hand 0: 61.240% 61.24% 00.00% 2212 0.00 { 7c7h }
Hand 1: 19.380% 19.38% 00.00% 700 0.00 { AsKs, AsQs, 9s8s }
Hand 2: 19.380% 19.38% 00.00% 700 0.00 { AsKs, AsQs, 9s8s }
---
Now, let's say that we can rule one of them into having Queens or better:
Text results appended to pokerstove.txt
37,926 games 0.228 secs 166,342 games/sec
Board: 7s 6s 2c
Dead:
equity win tie pots won pots tied
Hand 0: 63.028% 63.03% 00.00% 23904 0.00 { 7c7h }
Hand 1: 31.886% 31.89% 00.00% 12093 0.00 { AsKs, AsQs, 9s8s }
Hand 2: 05.086% 05.09% 00.00% 1929 0.00 { QQ+ }
---
Your hand is the exception to a monster draw being a favorite.
There was a good episode of the USPC last year where Thomas Wahlroos wound up folding Aces to a guy who pushed all-in with JT that hit top pair + flush draw. Had he hit a set, he commits, guaranteed.