Discount Gambling

2nd Nut Kicker on Unpaired Board (UTH)

Posted in ultimate texas hold'em by stephenhow on January 31, 2010

A lot of times when playing Ultimate Texas Hold’em, you’ll be faced with a 1x river call with a bare minimum kicker. It probably occurs to you that the strength of your call depends on how much of the board the other players have hit. For example, say you’re looking at 1x calling an unpaired board with 2nd nut kicker. Basic strategy says to call if it’s not a scare board, nor gutshot board, and there’s no possible flush on board, or if both your kickers play. (This situation occurs 1.3% of the time if you play basic strategy, and more frequently if you play less aggressively than basic strategy.) Your odds are better if the players at the table connected with the board (made a lot of pairs) than if everyone missed. I ran some simulations to quantify this effect, to show how you can use table information to improve this call.

1x call vs. fold for 2nd nut kicker on unpaired board, given table pair information (simulated)
total
players
total pairs notes
0 1 2 3 4
2 +1.3% +11% +17% always call
3 -3.4% +5.3% +12% +21% +33% fold if no pairs
4 -5.3% -0.0% +7.8% +16% +26% fold if < 2 pairs
5 -16% -5.8% -1.4% +11% +21% fold if < 3 pairs
6 -28% -16% -4.7% +4.9% +14% fold if < 3 pairs

So, for example, say you have Jh 2s and the board is Ah Ks Th 9d 3s. With no more information, the odds are that you should call (+19.1%). However, if you’re at a full table (6 players), and all the other players only made 2 pairs with the board, then you should fold. The percentages of the table don’t exactly apply to this specific case, but are averages over 20 million hands, and all cases where basic strategy said to call with 2nd nut kicker.

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