The cost built into the rules
House edge is the operator’s theoretical advantage per unit wagered under the model and rules being considered. RTP is the corresponding expected proportion returned to players. In a simple fixed-edge model, an edge of 1% corresponds to an RTP of 99%.
This is an expectation over repeated wagering, not a promise about a session. A 1% edge does not mean you lose exactly one unit every time you wager 100 units, and it is not a percentage of your account balance.
Example: 1 − 0.99 = 0.01 = 1%
A public mathematical model
Consider an idealised crash distribution in which the chance of reaching a target m is (1 − h) ÷ m, where h is the edge as a decimal. If a successful 1-unit bet returns m units, its expected total return is m times that chance: 1 − h.
This illustration assumes a valid target above 1×, the stated distribution, accepted cash-outs and no cap, rounding or fee adjustments. It is not a universal formula for every game, an audited verifier, or a calculation from Casino Probe’s private indicators.
| Target | Reach probability | Expected total return / unit |
|---|---|---|
| 2× | 49.50% | 0.99 |
| 5× | 19.80% | 0.99 |
| 10× | 9.90% | 0.99 |
A higher target produces fewer successes with larger payouts in this model. The table does not show a more profitable target. The interactive example below lets you explore that relationship.
Expected loss follows total wagering
In the same simplified 1% model, 1,000 units of cumulative wagering corresponds to an expected net loss of 10 units. Actual results can be very different. Changing bet sizes after a loss does not change the game’s distribution; it can increase the amount at risk.
Compare theoretical probabilities with observed frequencies carefully. A small sample is not obliged to match the theory. Historical differences do not, on their own, prove an exploitable change in the game’s rules.
Further reading: BC.GAME’s explanation of house edge and RTP ↗.
Change the target. See the trade-off.
A theoretical illustration using P(reach m) = (1 − h) / m. No live data, bets or proprietary calculations.
Assumptions: the model described above, valid targets and accepted cash-outs; no rounding, caps or fees. These are not personal odds or a recommendation.