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Math reports

Goblin Gold Mine: math report

Engine’s report for Goblin Gold Mine: return, volatility, the payout distribution, every mode and every validation check.

OverviewGoblin Gold MineWild ShabangTwin Charge
RTP96.70%Mean payout 0.97x
Max win25,000x–50,000x25,000x in buy features
Volatility15.52High · std dev 15.5232
Hit rate13.12%1 in 7.62 spins
Zero rate86.88%Spins that pay nothing
Min payout0.00xLowest outcome
Outcomes99,936In the lookup table
ReportVersion 16Engine math summary

Outcome breakdown

Every base-game spin, in three groups

86.9%8.4%
No win 86.9%Win below bet 4.7%Bet back or more 8.4%

One spin in 7.62 pays something. One in 11.9 returns the stake or more.

Between any win8spins

Average

Longest dry run49spins

1-in-1,000 chance

Between profits12spins

Average

Longest losing run79spins

1-in-1,000 chance

Hit-rate distribution · Base game

Payout distribution

Every payout band, how often it lands and how much of the return it supplies.

Share of RTP by payout band

Multiples of the bet · hover a column for detail

0%5%10%15%20%0.1–11–22–55–1010–2018.35%20–5050–100100–200200–500500–1k1k–2k2k–5k5k–10k10k–20k20k+
Payout bandDistinct payoutsLandsPer spinRTP shareShare of return
No win (under 0.1x)11 in 1.1586.957%0.00%
0.1x to 1x81 in 21.174.724%2.35%
1x to 2x101 in 41.792.393%3.23%
2x to 5x301 in 35.812.793%8.55%
5x to 10x501 in 71.151.405%9.91%
10x to 20x1001 in 112.880.886%12.36%
20x to 50x2931 in 165.490.604%18.35%
50x to 100x3741 in 521.800.192%13.12%
100x to 200x5411 in 1,250.110.080%10.84%
200x to 500x1,1011 in 2,976.000.034%9.84%
500x to 1,000x1,2781 in 16,374.930.006%4.12%
1,000x to 2,000x1,3901 in 60,336.600.002%2.21%
2,000x to 5,000x1,5841 in 232,054.250.00043%1.22%
5,000x to 10,000x6091 in 2,239,276.700.000045%0.29%
10,000x to 20,000x3851 in 12,563,580.080.0000080%0.10%
20,000x and above831 in 12,707,255.080.0000079%0.19%

Game modes

All modes

Engine rates volatility per mode. Costs are multiples of the base bet.

ModeCostAt a $1 betVolatilityRTPHit rateB/E
Base game1x$1.00High96.70%13.12%8.4%
Ante5x$5.00High96.70%12.68%6.6%
Vein Hunt100x$100.00Low96.53%99.86%33.0%
Deep Vein200x$200.00Low96.70%91.00%10.7%
Feature Spins250x$250.00Low96.70%91.00%12.0%
Mystery500x$500.00Low96.70%99.94%36.2%
God Mode1,000x$1,000.00Low96.70%91.00%27.2%

Engine validation

Compliance and bet tiers

Engine validates every title before release: the base mode must pass seven compliance checks, then each bet tier tests the game against risk limits.

Compliance · base mode7 of 7 passed
  • Cross-mode RTP consistency

    RTP across all modes stays within the allowed variance. Expected ≤ 0.50%.

    0.17%
  • Base mode cost

    The cheapest mode is the 1.0x base game. Expected = 1.00x.

    1.00x
  • Base mode standard deviation

    Base-game standard deviation stays within limits. Expected ≥ 0.60x.

    15.52x
  • Bet level validator

    A valid three-star bet-level template exists. Expected: valid template.

    500max_1cent
  • RTP range

    Return to player sits inside the allowed band. Expected 90.0% to 96.70%.

    96.70%
  • Cost multiplier

    A mode’s cost multiplier stays under the cap. Expected ≤ 50,000x.

    1x
  • Max payout multiplier

    The largest win stays under the cap. Expected ≤ 1,000,000x.

    25,000x
2-star tierFull caps

Bet template 100max_1cent

Every constraint within limits.

3-star tierFull caps

Bet template 500max_1cent

Every constraint within limits.

When a mode exceeds a tier’s limit, Engine lowers that tier’s caps instead of blocking the game. Values over a limit come from high-cost modes, noted in the table below.

Full constraint report
Constraint2-star value2-star limit2-star3-star value3-star limit3-star
Max exposure2,500,00015,000,000Within12,500,00050,000,000Within
Max payout multiplier25,00050,000Within25,000100,000Within
Max bet cost100,000100,000Within500,000500,000Within
Cost multiplier1,0001,000Within1,0005,000Within
Base volatility (std dev)15.5350.0Within15.5360.0Within
Tail probability ≥ 5,000x0.00940.0100Within0.00940.0500Within
Tail probability ≥ 10,000x0.00140.0050Within0.00140.0100Within
Tail probability ≥ 25,000x00.0020Within00.0050Within
Tail probability ≥ 50,000x0n/aWithin0n/aWithin
Tail probability ≥ 100,000x0n/aWithin0n/aWithin
Risk limit (CVaR, per stake)316.2700.0Within316.2700.0Within
Risk limit (CVaR, absolute)16,929.820,000.0Within16,929.850,000.0Within
Expected tail liability (40x)0.541n/aWithin0.541n/aWithin
Expected tail liability (10,000x)0.107n/aWithin0.107n/aWithin
Expected tail liability (sum)0.5651.300Within0.5651.500Within
Expected tail liability (absolute)633,000Within6310,000Within

n/a means the limit was not legible in the captured report.

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