Bankroll and Martingale Simulator
Simulate 10,000 roulette sessions with flat bets or the Martingale doubling system and see how often the bankroll survives, with every session drawn.
Martingale, $5 base, $1,000
You can survive 7 losses in a row. The chance a progression busts is 0.94%, and a bust costs $635.
How it works
- Choose flat betting or Martingale (double after every loss, back to the base bet after a win).
- Set the bankroll, base bet, table maximum and, for Martingale, the profit you would stop at.
- The simulator plays 10,000 sessions with a fixed seed so the numbers are repeatable; Re-run uses a new seed.
- The chart draws 40 sample sessions; red paths ran out of money or hit the table limit.
What the maths says
Martingale wins a little very often and loses a lot rarely. With a $5 base bet, a $1,000 bankroll and a $500 table maximum you can afford 7 losses in a row ($5, $10, $20, $40, $80, $160, $320). Each progression wins $5 with probability 99.06% and loses $635 with probability 0.94%. The expected result of one progression is −$1.026.
No staking plan changes the house edge on each bet: 2.70% on a single-zero wheel and 5.26% on a double-zero wheel. Martingale only reshapes the results into many small wins and occasional large losses; the average loss is still the edge times everything you bet.
Probabilities and session results come from an exact single-progression formula and 10,000 seeded simulated sessions. The drawn paths replay the same game for illustration.