What this simulator does
Even with a real edge, a run of bets can go badly for a long time. The simulator plays hundreds of runs with your settings and shows what luck can do to your bankroll: the range of outcomes, the temporary losses and the risk of losing everything.
How to use it
- Describe your typical bets. Average odds and estimated probability of winning.
- Set the bankroll and the stake in units. Everything is expressed in units, as in our records.
- Choose the length. The number of bets per run and the number of runs simulated.
- Run it again. Each simulation draws new random results.
What the results show
- Risk of ruin: the share of runs in which the bankroll can no longer cover a stake.
- Median final bankroll: half the runs finish above it, half below.
- Median drawdown: the largest drop from a peak in a typical run.
- 5th–95th percentile interval: the range in which 90% of runs finish.
- Chart: 40 random runs, the median in green, losing runs in red.
Worked example
Odds of 2.00, a 52% chance of winning, a 100 u bankroll, 1 u per bet, 500 bets. The expected value is 500 × (2.00 × 0.52 − 1) = +20 u, so 120 u on average at the end.
But the standard deviation over 500 bets is about 22 u. Around 90% of runs therefore finish between +20 − 37 u and +20 + 37 u: a meaningful share lose money despite a real edge. That is exactly what the simulator makes visible.
Limits
The model assumes a fixed probability, independent bets and a constant stake. Reality is messier: your estimate can be wrong and odds move. This is a simulation, not a forecast.