Slot Math
STOCHASTIC MODELING // MONTE CARLO TRAJECTORIES

Slot Volatility & Monte Carlo Drawdown Simulator

Simulate up to 10,000 spins across 5 simultaneous stochastic trajectories. Compare bankroll drawdowns, ruin probabilities, and payout fat tails across Low, Medium, High, and Extreme slot volatility tiers.

SESSION & RISK PARAMETERS

Initial Starting Bankroll ($) $500
$50 $500 $2,500 $5,000
Base Wager per Spin ($) $1.00
Simulation Horizon (Spins per Run) 1,000 spins
EMPIRICAL RISK OF RUIN
20.0%
Based on 5 simulated paths
WORST PEAK-TO-TROUGH DRAWDOWN
-48.2%
Worst session capital dip
PROBABILITY OF 2X BANKROLL
40.0%
Reached 2x initial deposit
MEDIAN TERMINAL BALANCE
$430.00
Expected theoretical hold
5-PATH MONTE CARLO TRAJECTORY COMPARISON Baseline = Starting Bankroll

Frequently Asked Questions

Why do extreme volatility slots ruin bankrolls even with 96.5% RTP?

In extreme volatility slots (such as Nolimit City titles), over 35-45% of the theoretical return is concentrated in rare bonus hits (1 in 200+ spins) and astronomical multipliers. Without sufficient bankroll depth (e.g. 500-1000 base bets), players suffer gambler's ruin during normal dead-spin drawdowns before catching a high-multiplier event.

What is the Volatility Index (VI)?

The Volatility Index is defined as VI = Z * (σ / √N). It quantifies the width of the confidence interval around expected payout percentage for a specific spin count, allowing direct mathematical comparison between diverse slot architectures.

How many base bets should a bankroll contain for high volatility?

For low volatility slots, 150-200 base bets provides a <5% ruin probability for a 1,000-spin session. For extreme volatility, simulations show that at least 600-1,000 base bets are required to maintain a ruin probability below 15%.