Two Plus Two Older Archives 2-card Poker: Favorite Hands
 FAQ Members List Calendar Search Today's Posts Mark Forums Read

#1
12-05-2005, 05:04 AM
 Guest Posts: n/a
2-card Poker: Favorite Hands

Imagine a game of 2-card poker. It is exactly like hold'em, except there is only a pre-flop, and the best 2-card hand wins (pair &gt; high card &gt; all else). In an x-handed game, which hands are favorites on average? I attempted to solve this problem myself, but I think my solution might be slightly off:

HANDED HANDS
2 [J9, AA]
3 [QT, AA]
4 [K6, AA]
5 [KT, AA]
6 [KQ, AA]
7 [A3, AA]
8 [A4, AA]
9 [A5, AA]

Would someone verify if I'm correct using math and/or simulations? Thanks [img]/images/graemlins/confused.gif[/img]
#2
12-05-2005, 05:50 AM
 Siegmund Senior Member Join Date: Feb 2005 Posts: 415
Re: 2-card Poker: Favorite Hands

I am assuming suited hands are not worth anything extra in this game.

By my count, J8 loses to 600 hands, ties 9, and beats 616, while J7 loses to 612, ties 9, and beats 604.

Exact answers to multiway games are going to require more than what I can do in my head and a Notepad window to keep track of figures. Does "to be a favorite" mean to win more than half the time, or to win more than 1/N of the time, incidentally?
#3
12-05-2005, 01:44 PM
 Guest Posts: n/a
Re: 2-card Poker: Favorite Hands

No, flushes do not count, only pairs and high cards.

So, as I expected, apparently I was off by 1 kicker for 2-handed.

If I could edit the original post, I'd change "favorites on average" to "+EV". I think this means which hands are expected to win more than they lose.
#4
12-05-2005, 05:37 PM
 soko Senior Member Join Date: Nov 2004 Posts: 384
Re: 2-card Poker: Favorite Hands

Didn't they play this game in an episode of "Curb your Enthusiasm" when he called that flamboyant producer a [censored] when he folded ace high to a bluff for a 3K pot?
#5
12-11-2005, 02:24 AM
 Guest Posts: n/a
Re: 2-card Poker: Favorite Hands

I think my original solution was actually way off. Here's my new solution:

HANDED +EV
2 [J7, AA]
3 [K2, AA]
4 [K9, AA]
5 [A2, AA]
6 [A5, AA]
7 [A7, AA]
8 [A8, AA]
9 [A9, AA]

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Two Plus Two     Two Plus Two Internet Magazine     About the Forums     MOD DISCUSSION     ISOP General Poker Discussion     Texas Hold'em     Beginners Questions     Books and Publications     Televised Poker     News, Views, and Gossip     Brick and Mortar     Home Poker     Poker Beats, Brags, and Variance     Poker Theory Limit Texas Hold'em     Mid- and High-Stakes Hold'em     Medium Stakes Hold'em     Small Stakes Hold'em     Micro-Limits     Mid-High Stakes Shorthanded     Small Stakes Shorthanded PL/NL Texas Hold'em     Mid-, High-Stakes Pot- and No-Limit Hold'em     Medium-Stakes Pot-, No-Limit Hold'em     Small Stakes Pot-, No-Limit Hold'em Tournament Poker     Multi-table Tournaments     One-table Tournaments Other Poker     Omaha/8     Omaha High     Stud     Other Poker Games General Gambling     Probability     Psychology     Sports Betting     Other Gambling Games     Rake Back     Computer Technical Help Internet Gambling     Internet Gambling     Internet Bonuses     Software 2+2 Communities     Other Other Topics Other Topics     Sporting Events     Politics     Science, Math, and Philosophy     The Stock Market

All times are GMT -4. The time now is 11:53 PM.