Just for fun-closest hold'em matchups

[La Brujita]

Other than AA v AA etc. what are the closest matchups you can find. Here is my attempt:

pokenum -h kc jc - - 5s 5h
Holdem Hi: 1712304 enumerated boards
cards win %win lose %lose tie %tie EV
Kc Jc 851243 49.71 852112 49.76 8949 0.52 0.500
5s 5h 852112 49.76 851243 49.71 8949 0.52 0.500

[M.B.E.]

There are quite a few of the format small pocket pair vs. suited overcards that are very close. For example:

Ac-Qc vs 2c-2s
6c-9c vs 4c-4s

[Bozeman]

Your matchup is 50.0254% for favorite, slightly closer than those suggested by MBE.

I found Ts7s 5c5h, slightly better at 50.0232% (here the overcards are favorite instead of the pair).

Is there a matchup that is 50% after the flop? If not, how close can you get?

Craig

[M.B.E.]

[ QUOTE ]
Is there a matchup that is 50% after the flop?

[/ QUOTE ]
I'll wager that there is. With two hands and the three flop cards specified, there are only 990 combinations of the other two board cards (45 x 44 / 2). There must be at least a few matchups that split these combinations 495 apiece.

Here's one that comes pretty close:

Flop is Td-9d-8d. Hands are Qs-Qc and 7h-7d.

The pocket sevens has 2 straight-flush outs, 7 flush outs, 3 straight outs, and 2 set outs, for a total of 14. If the sevens hits a set or a straight, the pocket queens has redraws to a bigger set or a bigger straight.

Overall, the QQ is a small favourite with 489 wins to 488.

The remaining 13 combinations are ties:

Ad-Kd (flush);
Ad-Qd (flush);
Kd-Qd (flush);
Qd-Jd (straight flush);
Qh-Js (straight);
Qh-Jh (straight);
Qh-Jc (straight);
7s-6s (straight);
7s-6h (straight);
7s-6c (straight);
7c-6s (straight);
7c-6h (straight); and
7c-6c (straight).

[M.B.E.]

By the way, in looking for matchups that are exactly even on the flop, remember that a 13-outer will hit 48.1% of the time and a 14-outer 51.2%. So a matchup that is exactly even will almost certainly need to start with the lower-ranking hand having either 13 outs plus a bunch of backdoor draws, or 14 outs but subject to a bunch of redraws.

[M.B.E.]

Here's a close example based on a 13-outer plus backdoor draws:

Flop is 8[img]/images/graemlins/club.gif[/img]4[img]/images/graemlins/club.gif[/img]3[img]/images/graemlins/club.gif[/img], hands are 4[img]/images/graemlins/spade.gif[/img]2[img]/images/graemlins/club.gif[/img] and 7[img]/images/graemlins/club.gif[/img]3[img]/images/graemlins/diamond.gif[/img].

The 4-2 is a 498:492 favourite (no ties possible).

[M.B.E.]

This variation is a bit closer:

Flop is 8[img]/images/graemlins/club.gif[/img]4[img]/images/graemlins/club.gif[/img]3[img]/images/graemlins/diamond.gif[/img], hands are 4[img]/images/graemlins/spade.gif[/img]2[img]/images/graemlins/club.gif[/img] and 7[img]/images/graemlins/club.gif[/img]3[img]/images/graemlins/club.gif[/img].

The 4-2 is a 497:493 favourite (no ties possible).

[M.B.E.]

[ QUOTE ]
Is there a matchup that is 50% after the flop?

[/ QUOTE ]
K[img]/images/graemlins/heart.gif[/img]3[img]/images/graemlins/heart.gif[/img] vs. 5[img]/images/graemlins/spade.gif[/img]3[img]/images/graemlins/spade.gif[/img], flop 9[img]/images/graemlins/spade.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 3[img]/images/graemlins/diamond.gif[/img]

[Bozeman]

Cool! You rock.

Craig

[La Brujita]

M.B.E,

I thought it before and now I am convinced. You have a very big brain.

You must also have some free time on your hands. [img]/images/graemlins/smile.gif[/img]

Regards