Math reports

Wild Shabang: math report

Engine’s report for Wild Shabang: return, volatility, the payout distribution, every mode and every validation check.

Overview

Goblin Gold Mine

Wild Shabang

Twin Charge

RTP96.70%Mean payout 0.97x

Max win25,000x–50,000x25,000x in buy features

Volatility21.28High · std dev 21.2785

Hit rate13.51%1 in 7.40 spins

Zero rate86.49%Spins that pay nothing

Min payout0.00xLowest outcome

Outcomes99,936In the lookup table

ReportVersion 38Engine math summary

Outcome breakdown

Every base-game spin, in three groups

No win 86.5%Win below bet 4.7%Bet back or more 8.8%

One spin in 7.40 pays something. One in 11.4 returns the stake or more.

Between any win7spins

Average

Longest dry run48spins

1-in-1,000 chance

Between profits11spins

Average

Longest losing run75spins

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

Payout band	Distinct payouts	Lands	Per spin	RTP share
No win (under 0.1x)	1	1 in 1.16	86.207%	0.00%
0.1x to 1x	7	1 in 21.36	4.682%	2.58%
1x to 2x	10	1 in 37.03	2.701%	3.61%
2x to 5x	30	1 in 33.51	2.984%	9.21%
5x to 10x	50	1 in 71.09	1.407%	9.85%
10x to 20x	100	1 in 115.68	0.864%	12.07%
20x to 50x	300	1 in 177.51	0.563%	17.22%
50x to 100x	480	1 in 533.93	0.187%	12.88%
100x to 200x	738	1 in 1,275.07	0.078%	10.72%
200x to 500x	1,342	1 in 3,216.03	0.031%	9.09%
500x to 1,000x	1,262	1 in 16,596.52	0.006%	4.05%
1,000x to 2,000x	1,489	1 in 65,035.18	0.002%	2.06%
2,000x to 5,000x	2,248	1 in 231,986.77	0.00043%	1.23%
5,000x to 10,000x	1,801	1 in 882,502.39	0.00011%	0.82%
10,000x to 20,000x	1,506	1 in 1,697,683.86	0.000059%	0.84%
20,000x and above	277	1 in 4,828,658.19	0.000021%	0.48%

Game modes

All modes

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

Mode	Cost	At a $1 bet	Volatility	RTP	Hit rate	B/E
Base game	1x	$1.00	High	96.70%	13.51%	8.8%
Scatter Boost	5x	$5.00	Medium	96.70%	16.66%	7.5%
Bonus	100x	$100.00	Low	96.70%	100.00%	12.3%
Mega Bonus	250x	$250.00	Low	96.70%	60.00%	13.4%
Feature Spins	250x	$250.00	Low	96.70%	68.04%	10.2%
All In	500x	$500.00	Low	96.70%	15.00%	9.0%
God Mode	1,000x	$1,000.00	Low	96.70%	100.00%	8.7%

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%.
0.00%
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.
21.28x
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 tierCaps reduced

Bet template 100max_1cent

Max exposure15,000,000 → 10,000,000

Max bet cost100,000 → 50,000

Reason: Risk limit (CVaR) and tail probability

3-star tierCaps reduced

Bet template 500max_1cent

Max exposure50,000,000 → 25,000,000

Reason: Tail probability

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

Constraint	2-star value	2-star limit	2-star	3-star value	3-star limit	3-star
Max exposure	1,250,000	10,000,000	Within	12,500,000	25,000,000	Within
Max payout multiplier	25,000	50,000	Within	25,000	100,000	Within
Max bet cost	50,000	50,000	Within	500,000	500,000	Within
Cost multiplier	1,000	1,000	Within	1,000	5,000	Within
Base volatility (std dev)	21.28	50.0	Within	21.28	60.0	Within
Tail probability ≥ 5,000x Over the 2-star limit in All In and God Mode	0.0338	0.0100	Over	0.0338	0.0500	Within
Tail probability ≥ 10,000x Over the 2-star and 3-star limits in All In and God Mode	0.0263	0.0050	Over	0.0263	0.0100	Over
Tail probability ≥ 25,000x	0	0.0020	Within	0	0.0050	Within
Tail probability ≥ 50,000x	0	n/a	Within	0	n/a	Within
Tail probability ≥ 100,000x	0	n/a	Within	0	n/a	Within
Risk limit (CVaR, per stake)	273.8	700.0	Within	273.8	700.0	Within
Risk limit (CVaR, absolute) Over the 2-star limit in Mega Bonus, All In and God Mode	25,000.0	20,000.0	Over	25,000.0	50,000.0	Within
Expected tail liability (40x)	0.463	n/a	Within	0.463	n/a	Within
Expected tail liability (10,000x)	0.502	n/a	Within	0.502	n/a	Within
Expected tail liability (sum)	0.665	1.300	Within	0.665	1.500	Within
Expected tail liability (absolute)	466	3,000	Within	466	10,000	Within

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

Wild Shabang game page Open in the simulator