Game mathematics

The numbers behind the reels.

Closed-form theoretical metrics, validated against your live session play. Refreshes every spin.

Volatility

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Theoretical RTP

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Long-run expected return per coin wagered

House edge

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Operator's mathematical advantage

Volatility σ

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Std deviation per unit bet

Hit frequency

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Probability any win occurs

🤖 AI Math Analyst

BETA ⌃

RTP Convergence Analysis MONTE CARLO

Target RTP 93.83%

Current RTP

93.83%

Target RTP

93.83%

Total Spins

0spins

Convergence Rate

0.0%

Observed RTP (simulation)

Theoretical RTP (target)

Simulation Progress

0 / 10,000 spins

How it works: This Monte Carlo simulation spins the virtual reels 10,000 times and plots the running RTP percentage. You'll see the observed RTP initially fluctuate wildly, then gradually converge toward the theoretical value as the sample size grows. The green dashed line shows your game's target RTP.

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Return distribution by symbol

Theoretical

Outcome split

Probability

Live session — return trend

0 spins

Symbol paytable & expected contribution

Theoretical

Symbol	On reel	P(triple)	1 in N	Payout	Contribution to RTP

Session vs theory

Convergence

Theoretical RTP —

Your actual RTP —

Difference —

Observed σ —

Play more spins for the actual RTP to converge toward theory — the law of large numbers in action.