The Bankroll Chart Was Built for Someone Who Isn't You

Have 20 buyins for cash games. You have heard it a hundred times. It sounds solid. It comes from people who did the math, and the math is correct.

The math is correct given the assumptions. And the assumptions are where the lie lives.

I am not telling you bankroll management is useless — the core math is real and worth knowing. I am telling you that the number you are leaning on was calculated for a player who is not you, and that the gap between that player and you is invisible to the chart and very visible in your results.

Where the Chart Gets Its Numbers

The standard advice is some version of 20 buyins for cash, 100 for tournaments, or some other figure derived from a specific set of assumptions about win rate and standard deviation. The numbers feel solid because someone did the work. The work is sound. The inputs are the problem.

The standard chart assumes a win rate and a standard deviation. Where does it get those? Usually from population-level estimates — published numbers from large online sample analyses, averages across many pros, that kind of thing. Those numbers are reasonable for the average pro, at the average stake, in the average condition.

They are almost certainly not accurate for you specifically.

Your win rate is probably different from the assumed one. Your standard deviation might be different. Your game type might have different variance characteristics than the chart assumes. The conditions in your specific player pool might have changed since the chart was built. Every one of those mismatches moves your real number, and the chart cannot see any of them.

Your Real Number Is Somewhere the Chart Never Told You

The result is that the 20-buyin number is the right number for a player who has the assumed win rate and standard deviation — not necessarily for you.

Your real conservative number might be 10 buyins. It might be 35. It might be 80. Nobody has done the actual calculation for your specific case, because the actual calculation requires inputs nobody has properly estimated: your true win rate, your true standard deviation, your true risk tolerance, your true cost structure. Those are exactly the numbers you do not have clean access to, which is why the chart substitutes averages and hopes the substitution is close enough.

So when you sit down with 20 buyins, you do not actually know whether you are over-rolled or under-rolled. You know what the average pro would be. The mismatch could go in either direction, and you have not characterized which.

You Are Paying for a Feeling

Here is the part that stings. The chart number gives you a feeling of being protected. The feeling is what you are paying for.

The actual protection is contingent on the chart's assumptions matching your situation — and they probably do not match precisely, and you do not know in which direction the mismatch goes. The chart number protects against a model of variance that approximates your actual variance with errors in both directions you have never measured. (For what that variance actually feels like in practice, see Variance and Downswings.)

This is not an argument for paranoia. It is an argument for honesty about what you bought. You bought a starting point dressed up as a floor. The feeling of safety is real. The safety itself is conditional on inputs you guessed.

Why the Survivors Keep More Cushion

Watch what the pros who have figured this out actually do. They keep larger buffers than the charts suggest — not because they are timid, but because they have audited the assumptions and concluded the assumptions are unreliable. They give themselves more cushion than the chart says they need because they understand the chart's confidence is borrowed, and their own cushion has to absorb the chart's errors.

The pros who blow up are typically the ones who treated the chart number as the floor, not as a midpoint estimate. The floor was somewhere else. The chart did not tell them where, and by the time they found it, they were past it.

That is the whole reframe. The chart number is a midpoint estimate, not a floor. If you treat a midpoint as a floor, half the time you are standing below the level you thought you were standing above. The honest move is to stress-test the chart against your specific case — consider what your actual standard deviation looks like, whether your win rate has stabilized, whether your conditions match the conditions the chart was built around — and then, more often than not, keep more buyins than it suggests rather than fewer.

Slower growth is the price of that cushion. Not blowing up is what the cushion buys. The chart sold you a number and a feeling. Keep the number as a starting point, throw away the feeling, and let your own buffer carry the weight the chart's borrowed confidence cannot.

Stress-Test the Chart Against Your Own Case

You do not need a perfect calculation to do better than the default. You need to interrogate the chart's three assumptions against what you actually know about yourself.

First, your win rate. Is it stable, or is it the product of a hot stretch you have not yet given back? A win rate that has not stabilized over a real sample makes every downstream buy-in number optimistic, because the chart assumes the win rate is true. If you are not sure your win rate is real, your buffer should be larger, not smaller — you are protecting against the possibility that you are worse than your results say.

Second, your standard deviation. A loose, multiway, big-pot style swings harder than a tight, controlled one. If your game is high-variance by nature, the average standard deviation baked into the chart understates your real swings, and the chart is telling you to keep less than you need.

Third, your conditions. Player pools change. The chart was built around a snapshot of the games, and your games may be tougher or softer than that snapshot. Tougher games mean a lower true win rate than the chart assumes, which means a thinner real edge, which means a fatter buffer required to ride out the variance on a smaller margin.

Run those three checks and you will almost always land on a more conservative number than the default — which is exactly the direction the survivors lean, and exactly the direction the blown-up players did not.

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This article is drawn from the audio lesson "The Bankroll Lies." Listen here: The Bankroll Lies.