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Slot Volatility Illustrator

Two ribbons showing different levels of variation

For readers exploring how equal average returns can coexist with different payout variation. The model uses independent rounds and a two-outcome payout distribution.

Examples are hypothetical. CU = currency units. Use one consistent currency wherever CU appears. No live prices or provider data are fetched.

Hit payout multiplier4.80 ×
Zero-payout probability80.00 %
Mean net result-40.00 CU
Net-result standard deviation60.72 CU
50% hit profile: payout1.92 ×
50% hit profile: standard deviation30.36 CU
20% hit profile: payout4.80 ×
20% hit profile: standard deviation60.72 CU
2% hit profile: payout48.00 ×
2% hit profile: standard deviation212.51 CU

Illustrative result using the displayed default inputs.

How to read the result

The profiles illustrate payout dispersion with an identical expected return; standard deviation is not a guaranteed outcome range. This model does not reproduce a named slot, jackpots, bonus rounds, bankroll depletion or a forecast of your next spin.

Formula

  1. For hit probability h and RTP fraction r, gross payout multiplier on a hit m = r/h; otherwise payout = 0.
  2. Mean net result per round = bet × (r−1). Variance per round = bet² × (r²/h − r²).
  3. For N independent rounds: mean net result = N × bet × (r−1); standard deviation = bet × sqrt(N × r² × (1/h−1)). A payout hit is not necessarily a net win.

Worked example

At 96% RTP, 1 CU and 1,000 rounds: hit probabilities 50%, 20%, 2% imply payouts 1.92×, 4.80×, 48.00×. All have mean net −40 CU; standard deviations are 30.36, 60.72 and 212.51 CU.

Worked examples

Read the detailed guide: Slot volatility: equal RTP, different illustrative spread

Method references

Input specification and SEO alternatives
InputTypeUnitsDefaultLimits / choices
Amount per roundnumberCU10.01–1000000
Fixed number of roundsnumberrounds10001–10000000; integers
Model RTPnumber%960.01–100
Synthetic hit frequencyChoiceNone0.2Frequent: 50%; Less frequent: 20%; Rare: 2%

Meta description

Compare synthetic payout distributions with the same RTP and different hit frequencies. These examples do not represent real slots.

SEO title alternatives

  1. Slot Volatility Illustrator: Synthetic Examples
  2. Compare RTP and Slot Payout Variation
  3. Slot Variance and Hit Frequency Illustrator

Outputs use English number formatting. Monetary amounts use two decimals; asset quantities use up to eight. Calculations retain unrounded intermediate values except the cent allocation stated for arbitrage.