Ok guys, so this spot came up lately, and I have to admit, that in-game I was like "wtfffff". Afterwards I looked up this spot in Snowie first. Snowie wants to fold > 3b > call with 55 here. When 3b, then call 4b is > fold > jam. . On the other hand, AKo should be a 4b/f here, which I am sure is a mistake against most guys, but somehow it makes sense against optimal guys. So with a theoretical approach, I end up being more confused than before.
Prima, $0.10/$0.20 No Limit Hold'em Cash, 5 Players
Poker Tools Powered By
Holdem Manager - The Ultimate
Poker Software Suite.
SB: $21.30 (106.5 bb)
BB: $20 (100 bb)
MP: $33.60 (168 bb)
Hero (CO): $20.18 (100.9 bb)BTN: $19.34 (96.7 bb)Preflop: Hero is CO with A
K
Hero raises to $0.50, BTN raises to $1.80, Hero raises to $4.40, BTN raises to $19.34 and is all-in, Hero calls $14.94
Flop: ($38.98) T
Q
T
Turn: ($38.98) 8
River: ($38.98) 9
Results: $38.98 pot ($0.60 rake)
Final Board: T
Q
T
8
9
Hero showed A
K
and lost (-$19.34 net)
BTN showed 5
5
and won $38.38 ($19.04 net)
I then started to take a look at the spot from a exploitative point of view. More on this later, but let me take a short excursion first:
Too not overfold against 3b, we should defend approximatly ~50%. Basically we have to defend at least 33%, if we open to 3bb and get 3bet to 9bb. Reason is simple math: Villain invests 9bb to win 4.5bb (our open and the blinds), plus his 9bb back. So he needs us to fold 9/13.5=0.66% of the times we open. In reality, we have to overdefend there a bit, because this approach, to defend mathematically correct, only applies, when we decide to 4b only, which we should never do, because some of our hands make perfect calling hands. So we end up defending a bit more than which is correct from a theoretical point of view, because villains bluffs see a flop then and have potential, which means equity. Even a hand like 72o (extreme example, just to show what I mean) can flop a boat from time to time. So when we only defend 33%, with 4bets AND calling, villain still has autoprofit, as he still can 3bet atc pre and then just continue when he flops a good hand like 2 Pair or TPTK. This formula obv just works, if ViIllain is unknown. When we have stats, for example that he only 3bets 3% BTNvsCO, we obv have to make some adjustments.
We have to defend 50%range. Hands like suited Broadways or Pairs, or the better suited connectors make good calls. Monsters and the hands that are just borderline calling/folding hands, make good 4bets. We decide to 4b to 22b. This has to work around 58% (rounded to 60%) of the time, because we invest another 19bb to win Villains 9bb plus the blinds, and our total invest of 22bb back. 19/32.5=~60%. So Villain should defend at least 40% of his range. Now it is the same as above, this only applies, if he decides to 5b Jam only, which was a standard few years ago. Nowadays, in modern online poker, a lot of players call 4bets quite often, which is correct, as they have to make our bluffs indifferent. So let's assume he defends around 55%. Hands like AQs or JJ make good calls, Monsters and "Monster blocking combos" make good 5b jams. Villain jams to 100b, he invests another 91bb to win our 22bb+ the blinds + his invest of 100bb back. 91/123.5= 0.73%. This sounds a lot and, much more important, isn't correct. The plain FE is 73%, true that. But when we call, his bluffs don't have zero equity. When he jams small pairs and suited wheel Aces, his bluffs have, against a reasonable calling range, still around 30% equity. Let's do the math: 73% of the time, he makes an insta-profit of 32.5bb, which sums up to EV = 23.5bb. 27% of the times he jams,he gets called, where he has 30% equity, which sums up to EV = -8bb. So his jam would be +EV with an profit of 15.5bb overall. So you see, he needs way less FE, to make this a break even play. Too not let villain gain autoprofit with 5b jamming a lot here, we need to either call more or make less range misplays earlier, which means our opening/4b range could be exploitable, because we have too many bluffs that cannot stack-off to a 5b jam.
And this is the thing, that villains seems to exploit in this hand. My standard opening range is quite wide, but works on 20nl so far: 22+, A2s+, K7s+, Q7s+, J7s+, T7s+, 97s+, 86s+, 75s+, 65s, 54s, A8o+, K9o+, Q9o+, J9o+ (410 Combos/~31% range).
Passive defend against BTN: JJ-66, AQs-ATs, KTs+, QTs+, JTs, T9s, 98s, 87s, 76s, AQo-AJo, KQo (124 Combos/~9% range).
4b against BTN: QQ+, AKs, A5s-A2s, AKo, ATo, KJo (74 Combos/~6% range).
When you do the math, you'll see that a) my opening range against good villains is too wide, b) my 4b range is polarised way too bluff heavy and c) my calling range is way too capped. But in reality, this works out fine, as people tend to defend too little against aggressiveness.
So to not get exploited by light 3b/5b jams here, we should make the following adjustment: Start to open a bit tighter. Don't 4b bluff A2s-A5s, as those block villains 5b bluff jam range. 4b 99-JJ instead, as those make good stack-off hands against bluffs, as they let him drop in equity, plus we stack-off more often and his FE goes down as well. Trap KK+ from time to time, as his bluff heavy range realizes its equity very bad, which forces him to barrel a lot.
I hope I didn't make any mistakes. I read over this now 4 times, and everything seem to be fine. If you find something, which is incorrect, let me know pls.
If you haven't understand everything, feel fee to ask. There are no stupid questions, just bad answers
If you find this interesting, I strongly recommend you to buy Matthew Jandas book "Applications of No Limit Hold'em". It is the nuts, the bible, THE masterpiece. It will help you, to get a good understanding of basic poker math and theory. For the mathematical part, if you wann get that into detail, read "the mathematics of poker" by William Chen. It is on my wishlist, because I heard a lot of good things about it, but it is very detailed and complex, and I suck at maths
But maybe I give it a read this summer.
So, gonna start a session now. I hope I can manage to be a bit more productive in the Snowie thread from my bro
@CrazyCookie and in our skype channel. I didn't made one single session when he plays the software, shame on me :-/ But I promise to improve!
Cya folks!