CRASHMATH
TELEMETRY // ROUND STREAM:
[QUANT TOOL // EXPECTED VALUE ENGINE] • CM-TOOL-EV

Expected Value & RTP Calculator

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

# Expected Value & RTP Calculator

Calculate exact geometric probability distributions, expected value, and bankroll ruin risk.

Invariant Geometric Model
Quick Presets:
2.00x
1.05x 5.0x 10.0x 20.0x
3.0%
1.0% 3.0% (Standard) 8.0%
Mathematical Axiom

Because Expected Value is strictly negative (-3.0%), the Kelly Criterion proves no progressive staking system (Martingale, Fibonacci) can overcome the house advantage.

Win Probability 48.5%
EV per Round -$0.30
EV (100 Rounds) -$30.00
Expected Loss/Hour -$180.00
Geometric Probability Distribution P(X ≥ k) = (1 - E) / k Target: 2.00x

TEST NEGATIVE EV IN A LICENSED ENVIRONMENT

Open registration and review the selected game, available cashout controls and cashier terms. This calculation does not certify the platform or guarantee a demo.

[MATHEMATICAL DERIVATION // CONTINUOUS PROBABILITY]

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 threshold.

Open Source Monte Carlo Martingale • d'Alembert • Kelly

crashmath-labs/monte-carlo-sim

Python simulation engine modeling 1,000,000 rounds by CrashMath Quant Research Group. Mathematical proof of Gambler's Ruin under negative expectation E[X] = -e.

GitHub Simulator