Bankroll survival calculator
How long does a bankroll last at a fixed stake? Enter the bankroll, the stake, the multiplier you play for and a number of bets. You get the exact chance of still being in the game, and the risk of running out before then.
Optional. Pick a casino and a title, and the calculator uses the RTP in our data for it. Only titles with an RTP figure are listed.
A generic value. Change it to the RTP your game shows.
At this RTP the bet wins 49.50% of the time.
Risk of ruin along the session
| After this many bets | Still playing | Out of money | Wagered by then |
|---|---|---|---|
| 100 | 100.00% | 0.00% | 100 |
| 250 | 100.00% | 0.000000042% | 250 |
| 500 | 100.00% | 0.0020% | 500 |
| 750 | 99.93% | 0.07% | 750 |
| 1,000 | 99.59% | 0.41% | 1,000 |
How bankroll survival is worked out
After a number of bets the bankroll depends only on how many of them were won. The calculator follows every possible count of wins, bet by bet, and removes the paths on which the bankroll falls below one stake. What remains is the chance of still playing. The average length of a session comes from a simpler rule: the bankroll divided by the expected loss per bet.
Worked example
A bankroll of 100 with a stake of 1 on 2.00x at an RTP of 99.00% loses 0.01 per bet on average, so it lasts about 10,000 bets on average. Luck spreads this out widely: after 1,000 bets 99.59% of players are still in, and after 5,000 bets 63.50%.
Survival is about swings, and the average cost is a separate figure: see what the session costs on average. Staking plans that change the bet after a loss can be tested in the betting strategy simulator, and the runs of losses that drain a bankroll are in how long a losing streak can get.
What the survival figures leave out
- They assume the same stake and the same multiplier on every bet. Raising stakes after losses shortens a session a lot.
- They do not include stopping when ahead. A player who leaves after a win is counted as still playing.
- The chance is exact for up to 5,000 bets. Longer sessions are summarised by the average only.
Questions about bankroll and risk of ruin
How big should a bankroll be for 1,000 bets?
It depends on the multiplier. With 100 stakes on 2.00x at 99.00% RTP, 99.59% of players get through 1,000 bets. On 10.00x with the same bankroll only 68.14% do.
Does a smaller stake really help?
Yes. With a bankroll of 100 on 2.00x, a stake of 1 survives 1,000 bets in 99.59% of cases, and a stake of 5 in 36.81%. The house edge takes its share of every unit wagered.
How much does the RTP matter for how long I can play?
A lot over time. A bankroll of 100 stakes lasts about 10,000 bets on average at 99.00% RTP and about 3,333 at 97.00%.
Is there a stake that never goes broke?
No. With any house edge the average session has an end. A smaller stake moves it further away and nothing more.