Button Steals Aren’t Automatic: The Real Math

Three faceless card players: a thief-like figure in the dealer seat grabbing chips, an aloof neighbour, an angry one.

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Open-raising every button is the most repeated piece of poker advice that is also conditionally wrong. Not wrong often. Wrong enough that a player who treats it as a reflex donates steadily to the two seats on his left, and never sees the leak because each individual loss is small and preflop.

The advice has a sound origin. Solvers, the programs that compute near-optimal strategies by playing a hand against itself millions of times, do open a huge chunk of hands from the button in a vacuum. Something near half of all starting hands at 100 big blinds, more in a tournament with an ante in the pot. That number got absorbed into the culture as “the button is automatic,” which is a different claim entirely. The solver output assumes two opponents playing well-constructed defenses, a particular stack depth, no rake, and no money bubble. Change any one of those and the range that prints money becomes the range that bleeds it.

What follows is less about which hands to open and more about which conditions have to hold before the question even makes sense. The arithmetic is simple. People just don’t do it.

The breakeven fold number, and why it changes everything

Start with cash, 100 big blinds, no ante. The small blind has 0.5 in, the big blind has 1. You make it 2.2 from the button. You are risking 2.2 to win 1.5 immediately.

Breakeven fold frequency is 2.2 divided by 3.7, which is about 59.5 percent. That is how often both blinds have to fold for the raise to break even on the spot, ignoring everything that happens after.

Now ask how often that actually happens. A competent big blind defends something like 40 percent of hands against a small button open. A competent small blind continues with maybe 25 to 30 percent. Multiply the fold frequencies: 0.60 times 0.72 is around 43 percent. You are nowhere near 59.5. The entire remaining edge has to come from playing the hand better than they do after the flop, with position, with a range advantage.

Add a big blind ante and the picture flips. Tournament pot now contains 2.5 before you act, so breakeven is 2.2 over 4.7, under 47 percent. That is within a few points of the 43 percent worked out above, close enough for position to cover the rest. That drop, from 59.5 to under 47, is why tournament button ranges are genuinely wide and cash button ranges are more disciplined than the folklore suggests.

So the honest version of the advice is this. In cash, the button open is a postflop play funded by preflop equity. In an ante tournament, it’s closer to a free roll. Treating the two identically is the first mistake.

The player who defends 65 percent and the player who defends 15

The blinds are not an abstraction. They are two specific humans, and the right button range is a function of them, not of the seat you’re sitting in.

Against the overly loose big blind, the one calling with queen-four offsuit and nine-three suited, the automatic open is still profitable. But the hands that profit shift. Suited connectors do fine. Weak offsuit broadways and junk like king-three offsuit stop doing fine, because you are now playing a dominated hand out of your own range strength against someone who shows up with any two. The correction is to open a stronger range, not a wider one, which is the opposite of what most players do when they spot a station.

Against the small blind who three-bets 18 percent of the time, the math gets worse fast. Every 2.2 you put in has a meaningful chance of becoming a decision for 7 or 8. That reraise frequency is a tax on your weakest opens, and your weakest opens are the ones with no equity to continue with. Against that player, drop the bottom tenth of the range entirely and defend the rest harder.

And against the nit in the big blind who folds 85 percent, you should be opening more than the solver does. Breakeven was 59.5 percent. With a small blind who folds 72 percent, as above, both blinds give up about 61 percent of the time. Raise with anything.

Why 22 big blinds is a different game than 100

Stack depth rewrites the button more than any other factor.

At around 20 to 30 big blinds, the blinds stop calling and start jamming. A 14-big-blind small blind who moves all in over your open is not making a mistake. He has fold equity and a hand that plays fine all in. Your jack-six suited now has a simple problem. It opened for 2.2, it cannot call 14, and it folds.

Each of those sequences costs you 2.2 big blinds. If the players behind you shove over button opens even 12 percent of the time, that’s a real drag on the thinnest part of your range. The fix is not to stop stealing. It’s to prune. Hands that can call a reshove, like small pairs and suited aces, keep their value. Hands that exist purely to see a flop in position lose most of theirs, because you often don’t get one.

Below about 15 big blinds the open-raise largely stops making sense from the button at all. You’re choosing between jamming and folding, and the in-between option just donates chips to the player with the better reshove range.

The bubble makes the same raise a worse one

In a tournament close to the money, chips you win are worth less than chips you lose. A stack that doubles doesn’t double your expected payout, but a stack that busts takes you to zero. The gap between a chip’s value in chips and its value in dollars is why survival has a price tag on the bubble.

Put numbers on it. Say you’re ten players from the money with 40 big blinds, and your stack is currently worth about $900 of equity in the prize pool. Win a 10-big-blind pot and you move to 50, but your equity only climbs to roughly $1,000, because the extra chips mostly buy you a better shot at pay jumps you’re already likely to reach. Lose the same 10 and you drop to 30, and your equity falls to something closer to $740. You risked $160 of real value to win $100 of it. That is a 1.6-to-1 price on a bet the raw chip math calls even money, and it is the whole reason a marginal button open that’s clearly profitable on Day 1 becomes a fold ten places from the money.

The practical effect on the button is that medium stacks get conservative and big stacks get aggressive, and both are correct. If you’re sitting on 40 big blinds with two short stacks about to bust at another table, your marginal button opens are worth less than the simple math says. If the big blind covers you and reshoves constantly, they’re worth less still.

Watching coverage from big fields makes this easy to misread. The televised hands are almost always deep stacks at a final table with enormous pay jumps already locked up behind the players, which is close to the only situation where relentless button aggression is both correct and cheap. Copy the aggression without the stack depth and you’re running a different strategy with the same hand chart.

A raise over limpers is not a steal

The seat lies to you constantly in live games. You are on the button, but two players have limped and the hijack has called. You raise. That isn’t a steal. It’s an isolation raise, and nobody is folding, and you’re going to a flop four-handed with king-nine offsuit and no initiative worth the name. Hand strength requirements climb steeply as callers accumulate, and the kind of hand that wins multiway pots looks nothing like a steal hand.

Straddles do the same thing from the other direction. A live straddle turns the button into the equivalent of the cutoff, with an extra live blind to get through and shallower effective stacks measured in straddles. Players keep opening the same range and wonder why their button winrate at the straddle table is underwater.

One piece of good news on the live side. Most rooms take no rake when there’s no flop, so the steal that wins uncontested is free money. The expensive version is the one that gets called, checks down, and wins a $14 pot that the house takes $5 out of. That’s worth remembering before you fire a thin value bet on the river in a tiny pot.

The question to ask before the cards are even out

Before the deal, answer three things about the two players to your left. How often do they fold preflop. Do they reraise or call. How well do they play after the flop out of position.

Those three answers set your button range for the next orbit. A table where both blinds are tight and passive is one where you open 60 percent of hands and never apologize. A table with a three-betting regular in the small blind and a calling station in the big blind is one where 35 percent is plenty, and the hands you cut are the offsuit garbage, not the suited ones.

The button is the most profitable seat at the table. That’s a fact about information, not about permission.