Every bet has an average cost (the house edge) and a spread around it (variance). This calculator shows both for a session of identical bets, such as dice or limbo at a fixed target.
Few expected wins for this many bets: the range is a rough approximation. Real results are more lopsided (many small losses, rare big wins).
How to read the results
- Expected result is total wagered × house edge, as a loss. It does not depend on win chance: a 1% edge costs 1% of everything you bet, whether you play safe 2x bets or 100x long shots.
- The 95% range is where most sessions end. Lower win chances give a much wider range: bigger possible wins and much more likely losses.
- Chance to finish ahead shrinks as the number of bets grows. Over a few bets luck dominates; over thousands the edge does.
Why betting systems do not change this
Systems like Martingale (doubling after each loss) change the shape of results, not the average. They turn many small wins into rare, large losses: at a 49.5% win chance, ten losses in a row happen in about 1 of every 900 runs of ten bets, and covering them needs about 1,000 times the starting bet. The expected loss is still the house edge on everything wagered.
The maths in more detail: house edge, RTP and variance explained. Planning a bonus? Use the wagering calculator.
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