Tools · Monte Carlo
Strategy Simulator
Play thousands of sessions of any betting system on even-money bets and look at the whole distribution of outcomes, not one lucky run.
sessions in profit
62.5%
ruined (bankroll 0)
28.7%
median result
+$400
mean result
−$69.11
best session
+$630
worst session
−$1,000
5th / 95th pct
−$1,000 / +$560
median max drawdown
−$630
1,000 sessions × 100 spins · violet p10/p25/p75/p90, light blue median, 83 faint samples · move over the chart for quantiles at a spin
- p10 −$1,000
- p25 −$1,000
- median +$400
- p75 +$490
- p90 +$540
Distribution of session resultsloss ← | → profit
−$1,000$0+$630
hover a bar · red bars are losing sessions, green winning, the pale bar straddles $0
Reading the result
Martingale over 100 spins from a $1,000 bankroll: 62.5% of 1,000 sessions ended ahead and 28.7% lost the entire bankroll. The median session finished at +$400, the mean at −$69.11. The mean is well below a flat bettor’s expected loss of about $27 because the progression wagers far more per session. No setting moves the expected loss per dollar wagered away from 2.70%.
Method and assumptions
Even-money bet (red), win probability 18/37, independent spins from a seeded generator so a given setting is reproducible. A session ends at the spin count or when the bankroll reaches zero. Bets are capped at the table limit and at the remaining bankroll. Martingale resets to the base bet when the next doubling would exceed the limit. Paroli resets after three wins. Labouchère starts from the line 1-2-3-4 in half-base units.