CrashMath.org

Expected Value & RTP Calculator

Calculate mathematical edge, probability of bust, and statistical variance across custom cashout multipliers.

# Expected Value & RTP Calculator

Compute exact geometric probability distributions and house advantage over time.

Probability & Variance Model
2.00x
1.05x 5.0x 10.0x 20.0x
3.0%
1.0% 3.0% (Standard) 8.0%
Win Hit Rate 48.5%
EV per Round -$0.30
EV (100 Rds) -$30.00
Loss / Hour (600 rds) -$180.00
Theoretical Probability Curve P(X >= k) Target: 2.00x

Understanding the Probability Formula

The probability of a continuous multiplier X reaching a cashout threshold k with a configured house edge E is expressed as P(X ≥ k) = (1 - E) / k. Because expected return scales proportionally to k - 1, the mathematical house edge remains strictly locked at -E across every multiplier.