An Honest Post-Mortem · Blackjack & Roulette

Can a Betting System Beat the House?

We tested a dozen progressive staking schemes across millions of simulated hands and spins. Here is what actually happened — and the one thing that genuinely works.

The Short Answer

No system won Every scheme we tried — increase-on-loss, press-on-wins, ladders, resets, hybrids — lost money at exactly the same rate: the house edge, on every dollar wagered. A betting system is a variance dial, not an edge dial. It changes the shape of your wins and losses, never the average. The only things that move your real odds are how near your target is and how boldly you bet — and even tuned perfectly, the house still wins most nights.

The Two Iron LawsWhy nothing we built could work

Two principles explain every result on this page. Once you see them, the whole search ends.

1. The edge is untouchable

Each individual bet returns −(house edge) × (bet size) on average, no matter how you chose that size. You get to pick each bet's size from the past — never the future — so the sizes can't correlate with the outcomes. Add up every bet and your expected loss is always edge × total wagered. In our simulations, "net ÷ wagered" landed on the house edge for all ten systems, on both games, every single time.

Every system loses the same rate — the house edge
The fraction of every wagered dollar you lose is fixed by the game, not the system. American roulette (~5.26%) punishes; blackjack basic strategy (~0.4%) barely stings. The bars are flat because the systems are irrelevant to the average.

2. Reaching a target is capped at start ÷ target

Turning $500 into a bigger number is a gambler's-ruin race: reach the target before you hit zero. In a perfectly fair game the best possible chance is simply start ÷ target — 50% to double, 33% to triple, 20% for 5×. No staking system raises that ceiling; the house edge only pushes you below it. The way to get close to the ceiling is to bet bold (few big bets, so less money is exposed to the edge). Timid betting spreads thousands of tiny bets across the felt and the edge grinds every one.

The unavoidable trade-off: turn variance up (bold, press winners) to maximize your shot at a big target — you'll bust more too. Turn variance down (timid, small bets) to win a little more often — paid for by rare deep losses. You genuinely choose which. You never change the edge.

The Deciding ChartIt's the target, not the system

Here is the result that ends the debate. For any given goal, the fancy systems cluster with plain flat betting — and the timid ones fall off a cliff as the target recedes. What moves the needle is how far you're reaching.

Blackjack: chance of hitting your target (start $500)
The dashed gold line is the mathematical ceiling (start ÷ target). Doubling is nearly a coin flip (~47% vs the 50% ceiling) and almost any sensible bet gets you there. As the target recedes to 5×, only bold play stays near the ceiling and the timid progression collapses to under 1%.
47%
Best realistic chance to double $500 (blackjack, bold). Ceiling: 50%.
31%
To triple — and a plain flat bet ties the fanciest system. Ceiling: 33%.
19%
For . Greed is what drags a coin flip down to a long shot. Ceiling: 20%.
0.4%
Blackjack house edge — the reason it beats roulette's 5.26% on every metric.

Notice what this means: no system beat "just betting normal." To triple your money, a flat $100 bet reaches the goal ~31% of the time — basically tying the theoretical best of 33% and beating every progression we designed. The systems that start at $5 and build actually do worse, because on average they bet small, play more hands, and expose more money to the edge. "Bold" just means big bets relative to your bankroll — and a flat $100 bet on a $500 stack already is bold.

Everything We TriedThe full catalogue

Grouped by shape. Every one was tested on both goals: grind (leave ahead on a 500-hand night) and walk-away (turn $500 into a target and quit).

Negative progressions — bet up after losses

The instinct behind most systems: chase losses back. They book frequent small wins, so they "feel" like they work — but the rare losing streak, betting large, gives it all back exactly to the edge.

SystemShapeGrind: % nights upWalk-away: P(triple)
Your +20% / −33% rulenegative53.1%16.1%
D'Alembert (+$5 / −$5)negative21.8%
Martingale (double on loss)negative25.5%
Your $5,6,7,9,12,15,20 laddernegative~53%low

Verdict: your gentle +20/−33 was the best of the whole field for the grind goal — profitable on ~53% of nights. But that 53% is bought with occasional deep-loss nights, and it's near-useless for chasing a big target.

Positive progressions — bet up after wins

Your later, sharper instinct: press winnings, reset on a loss. This is the right shape for a walk-away goal because it manufactures the variance a distant target needs.

SystemShapeGrind: % nights upWalk-away: P(5×)
Your +50% / reset after 3 winspositive47.1%3.8%
Your hybrid (+75% / halve / cut at 5)positive18.9%16.3%
Tuned: double / reset after 8positive17.9%
Anti-martingale (uncapped press)positive37.5%15.4%

Verdict: your press-on-wins direction was correct, but your original brakes were too tight — resetting after just 3 wins caps the upside. Tuning it (press harder, ride to ~8 wins) took it from a 3.8% shot at 5× up to ~18%, right against the ceiling.

Tuning the press: how long to ride before banking it (double on each win)
Chance of reaching $2,500 from $500, blackjack. Resetting too early (after 3) starves the upside; riding forever ("never") lets the runaway bet get wiped at its peak. The sweet spot is banking the streak after ~6–8 wins.

Flat & bold benchmarks

The controls that quietly won. A big flat bet is already "bold," and bold play sits at the ceiling for every target on every game.

The grind-vs-target trade-off you cannot escape (blackjack)
Each system does well at one goal at the cost of the other. Your +20/−33 wins the grind (53% of nights up) but rarely reaches a target; the press hybrid reaches targets but busts most nights. No point sits high on both bars — that's the variance trade-off made visible.

The One Thing That WorksAdvantage play — changing the edge itself

This actually wins Every scheme above is a staking system — a rule for sizing bets from past results — and those are mathematically proven never to beat a negative-edge game (Dubins & Savage, "How to Gamble If You Must," 1965). The methods that genuinely win do the one thing staking can't: they change the edge, using information or a physical flaw.

Card counting

Edward Thorp · "Beat the Dealer," 1962

Track the ratio of high to low cards remaining; the deck genuinely shifts in the player's favor when it's rich in tens and aces. Bet big only then and blackjack flips to a ~0.5–1.5% player edge. It's legal — but it's exactly why casinos shuffle early, use continuous shufflers, and eject counters. This is the one method that makes blackjack positive, which is why we excluded it from our test on purpose.

Physical roulette prediction

Edward Thorp & Claude Shannon · ~1961

They built the first wearable computer to time the wheel and ball and predict the landing region — reportedly a ~44% edge on a section of the wheel. This beats roulette with physics, not betting patterns. (Such devices are now illegal in most jurisdictions.)

Biased-wheel exploitation

Joseph Jagger · Monte Carlo, 1873

He clocked the wheels, found one with a mechanical bias toward certain numbers, and bet those numbers to win a fortune. No system — just a flawed wheel and the patience to find it.

Edge sorting

Phil Ivey · ~2012

He exploited microscopic printing asymmetries on card backs to read high cards in baccarat, winning $10M+. Courts later ruled it cheating and made him hand it all back — a reminder that the line between advantage play and cheating is where casinos and courts draw it.

The Kelly criterion

John L. Kelly Jr. · Bell Labs, 1956

The one bet-sizing rule that genuinely matters — but only after you already have an edge. It tells you the fraction of your bankroll to bet to maximize long-run growth without going broke. It can't create an edge; it can only grow a real one (which is why card counters pair counting with Kelly).

The through-line: every winning method changes the odds — through information or a flaw. Not one of them is a pattern of bet sizes. Everything you and your cousin ever built is a pattern of bet sizes. That's the whole difference, and it's why the discussion can end here.

If You Ever Actually Do ItThe least-bad way to play