What’s Your Play? Weak Overpair, Four-Bet Pot Results

The situation in What’s Your Play? Weak Overpair, Four-Bet Pot demonstrates the importance of starting your hand reading early. If you aren’t already thinking about your opponents’ ranges pre-flop, it’s easy to misjudge once you see the flop and the action. The question to ask is not, “What hands will give me action on this flop” – against that range, we’re crushed – but rather, “Given the pre-flop action, what hands will continue on this flop?”

The read I provided was that each opponents were likely either a nitty regular or a loose recreational player. Although we don’t know which, neither is likely to slowplay an overpair pre-flop in a large, multi-way pot. The button functionally never has KK+ and rarely QQ. There’s a slightly higher chance that CO is going for some spazzy slowplay, but the chances of that are at least as good as the chances that he’s made bad pre-flop and flop calls with TT or even weaker hands that have now flopped either a pair or a draw. As soon as I see the pre-flop action, I tell myself that I am not going to worry about better overpairs being out there. Against one player, I’m prepared to play a flopped overpair like the nuts.

Button’s jam into Hero’s very strong line and CO’s seemingly strong call should give us pause. If we rule out overpairs, that leaves just sets and big draws as plausible jamming candidates. Small pairs are not especially likely three-betting hands for him, though.

If we knew that CO were folding, we’d be risking roughly 60 BB to win 180 BB and would need 25% equity. If we give button a couple of combinations of big draws (AcTc, AcJc, and AcQc, assuming he would jam AcKc preflop, which isn’t a guarantee) and all of his 77 but no 33 or 55, Hero has 29%. Throw in 9c 8c and Hero’s equity jumps to 33%, so you can see that the decision is extremely sensitive to the relative likelihood of sets vs big draws in Button’s range.

If we call and CO overcalls, we only need 20% equity, but our equity may drop a bit due to the added risk of his showing up with a set, QQ, or big pair. Realize, though, that this won’t happen 100% of the time, and also that a CO loose enough to show up with 77 is also seeing the flop with 88, 99, and TT, and may not have the discipline to fold them. Giving him some but not all of each of these types of hands, it’s not a great outcome for us:

Button: 57.168% { 77, AcQc, AcJc, AcTc, 9c8c }
Hero: 16.040% 15.70% { JdJh }
CO: 26.791% 26.45% { QQ, TT, 77, AcQc, AcJc, AcTc, 9c8c }

Still, if CO folds half the time and Hero has 33% equity when he needs 25%, and half the time CO calls and Hero has 16% equity when he needs 20%, Hero still comes out ahead by 4% of ~60 BBs, or roughly 2.5 BBs.

Of course I didn’t crunch those numbers in real time. My thought process went like this: “There are only a few hands that could beat me, so focus on those. Better pairs probably jam preflop, CO either folds small pairs pre-flop and/or is so loose that he still has TT in his range, BN probably doesn’t three-bet small pairs all that often, and I only need to win 20 – 25%. Call.” And it worked, sort of:

PokerStars – $1 NL FAST (6 max) – Holdem – 6 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

BTN: 103.43 BB
Hero (SB): 112.01 BB
BB: 100 BB
UTG: 100 BB
MP: 90.3 BB
CO: 131.74 BB

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Jd Js
fold, fold, CO raises to 2 BB, BTN raises to 6.5 BB, Hero raises to 18 BB, fold, CO calls 16 BB, BTN calls 11.5 BB

Flop : (55 BB, 3 players) 5c 7c 3d
Hero bets 26 BB, CO calls 26 BB, BTN raises to 85.43 BB and is all-in, Hero raises to 94.01 BB and is all-in, CO calls 68.01 BB

Turn : (328.45 BB, 3 players) Qc

River : (328.45 BB, 3 players) 8s

Hero shows Jd Js (One Pair, Jacks) (Pre 53%, Flop 47%, Turn 0%)
CO shows Ts Th (One Pair, Tens) (Pre 18%, Flop 5%, Turn 0%)
BTN shows Jc Ac (Flush, Ace High) (Pre 29%, Flop 48%, Turn 100%)
BTN wins 308.49 BB
Hero wins 17.16 BB

An important takeaway here is that it’s not sufficient simply to say “I’m either way behind or flipping, so I fold.” You don’t need a lot of equity to get it in here, so the relative frequency of those two outcomes matters a lot. You have to do some light hand reading to figure out which is more likely and by roughly how much.

7 thoughts on “What’s Your Play? Weak Overpair, Four-Bet Pot Results”

    • Nope. Like 0 for 5 now.

      1. I assumed CO was more likely to have a draw on this flop than TT. TT is basically a set mine with that much action preflop and since he didn’t have odds, I assumed he would fold it. But he is allowed to play bad.

      2. I assumed BTN could 3bet small pairs. There are some regs that do, but they would be classified as aggro, not nitty or randomly loose.

      I would like to hear opinions on my thought that if a guy plays in a way that makes you feel like he has a high likelihood of holding certain hands (like flatting draws), can you discount those hands from the range of a player behind him somewhat?

  1. Carlos,

    I think the answer to your Q is intuitively obvious. Whatever hand you have, if it is possible that another player holds your cards, it is less likely you end up with a similar hand. So it would be rare to have AA vs AA, and IF you have AA you would need to multiply those chances 1/220 by the 1/220 by the opp to find odds of having both hands show up at once. Now, add the 1/220 by the number of players dealt in.

    suited vs suited results in fewer 3 flush boards thus, no time to work the numbers right now, but both having a draw of a different type? that would again be multiplying the odds of one hand occuring vs the other hand in same hand, then having a flop occur.

    hope this ramble made sense

    which

    • It’s not quite that simple to get the odds that any one of multiple players will have that hand, though with very small numbers your method produces a reasonable approximation. If I have Aces, the chance of the next player being dealt KK is .49%, not .45%. This is because we are only dealing to him from a 50 card deck, since we know two non-Kings are in my hand. So his chance of getting KK is 4/50 * 3/49 = .0049. The odds of at least one of two players getting KK is .0049 + (.0049 * (1 – .0049)). This still rounds to .0098, just as if we’d multiplied .0049 * 2, but that’s only because the number is so small. The odds of one of three players getting KK, given that you have AA, is .0098 + (.0049 * (1 – .0098). Essentially it’s the odds of one of the first two getting dealt KK plus (the odds of the third player getting dealt KK times the odds that neither of the first two is dealt KK).

      Your method would conclude that if you dealt 220 hands, you’d be guaranteed to see KK at lease once.

  2. so in a 9 handed game you have AA . odds of another player having KK is 1/220 times players left/ 8 so 8/220. 4/110 surprisingly often 🙂

    which

  3. I think you got lucky and found CO at the bottom of his range and your call was bad.

    In my experience CO’s range is very very strong here.

    • Honestly I was much more concerned about BN than CO. CO’s cold-call pre-flop already told me he was likely too loose/passive and liable to overvalue hands. I’m really struggling to think of a single hand I’d advise him to play the way that he did pre-flop. Basically my read on his post-flop call is either that he’s a fish or he’s extremely strong, and the pre-flop action inclines me toward the former explanation.

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