BLACK FRIDAY RUSH / UNDER THE SURFACE

Math & statistics.

The full distribution. Every outcome, with its selection weight.

Exact weighted corpusV2 Final · Current replay corpusblackFridayRushRound/v2Platform approval not confirmed

The same corpus as our recorded examples.1,000,000 complete rounds, analysed with every lookup-table weight. Replay examples on this page use these exact source files. These numbers describe the weighted corpus. The playable demo is a separate runtime. Viewing a report does not change the mathematics used by a game.

GAME MODE / BASE

Base 1× cost

One paid spin and its complete Doorbuster delivery bonus form one outcome.

RTP96.00%

AVAILABLE MAX5,000×

The bonus is a feature inside the base round. Only the base mode has a separate participation cost.

DETAILED METRICS

Weighted RTP96.00%Exact ratio 24/25

Hit probability35.00%Any positive full-round payout

Available maximum5,000×1 in 5,000,000

Standard deviation6.67239×Relative to participation cost

Doorbuster entry1.66667%1 in 60

Break-even or better16.13427%Payout ≥ participation cost

Outcome breakdown

Zero 65.00%Below cost 18.86573%Break-even 0.84806%Profit 15.28621%

Zero: 0× · Below cost: (0×, 1×) · Break-even: exactly 1× · Profit: above 1×. These groups partition all outcomes.

Average interval / any payout2.857 roundsIncludes the round containing the payout.

Average interval / profit6.542 roundsIncludes the profitable round.

Fixed-start zero streak / ≤0.1%17 roundsProbability 0.066%

Fixed-start loss streak / ≤0.1%40 roundsProbability 0.08778%

Streak estimates assume independent, identically distributed rounds and a fixed starting point: qᵏ. They do not estimate the longest streak anywhere in a session.

HIT RATE DISTRIBUTION / BASE

Log scale

Contribution to total RTP in percentage points. Linear width, relative to the largest value.

{0}

0 pp

(0, 0.1)

0 pp

[0.1, 1)

7.197129 pp

[1, 2)

7.400031 pp

[2, 5)

16.631913 pp

[5, 10)

23.712308 pp

[10, 20)

20.840211 pp

[20, 50)

14.721962 pp

[50, 100)

2.531997 pp

[100, 200)

0.625 pp

[200, 500)

0.5 pp

[500, 1000)

0.8625 pp

[1000, 2000)

0.285 pp

[2000, 5000)

0.59195 pp

[5000, 10000)

0.1 pp

[10000, ∞)

0 pp

Payout ranges use multiples of participation cost. The table below includes exact probabilities and counts.

Weighted payout bands · multiples of participation cost
Payout range	Corpus records	Unique payouts	Probability	Frequency	RTP contribution
{0}	398,203	1	65.00%	1 in 1.5385	0 pp
(0, 0.1)	0	0	0%	—	0 pp
[0.1, 1)	208,544	9	18.86573%	1 in 5.3006	7.19712895 pp
[1, 2)	70,298	10	5.38174%	1 in 18.5814	7.40003091 pp
[2, 5)	93,426	30	5.26136%	1 in 19.0065	16.63191277 pp
[5, 10)	104,263	50	3.37931%	1 in 29.5918	23.71230781 pp
[10, 20)	94,705	100	1.56025%	1 in 64.0923	20.84021074 pp
[20, 50)	30,251	300	0.50146%	1 in 199.4159	14.72196207 pp
[50, 100)	255	124	0.04121%	1 in 2,426.47	2.53199675 pp
[100, 200)	5	1	0.005%	1 in 20,000	0.625 pp
[200, 500)	5	1	0.002%	1 in 50,000	0.5 pp
[500, 1000)	10	2	0.0015%	1 in 66,666.67	0.8625 pp
[1000, 2000)	5	1	0.0002%	1 in 500,000	0.285 pp
[2000, 5000)	25	5	0.000214%	1 in 467,289.72	0.59195 pp
[5000, 10000)	5	1	0.00002%	1 in 5,000,000	0.1 pp
[10000, ∞)	0	0	0%	—	0 pp
Total	1,000,000	635	100%	1 in 1	96 pp

[a, b) includes a and excludes b. Zero is its own band. Counts describe corpus records; probabilities use weights. Exact rational values are included in JSON and CSV. Contributions sum to RTP before display rounding.

MODE STATISTICS / BASE

Property	Value
Participation cost / base stake	1×
RTP / expected payout	96.00% / 0.96×
Exact expected payout	24/25
Standard deviation / variance	6.6723904786 / 44.5207946984
Minimum / available maximum	0× / 5,000×
Declared maximum	5,000×
Corpus records	1,000,000
Positive-weight / zero-weight records	1,000,000 / 0
Zero-payout records (unweighted count)	398,203
Unique reachable / all payout values	635 / 635
Total selection weight	1000000000000
Weighted payout sum (hundredths)	96000000000000
Zero payout / below-cost payout	65.00% / 18.86573%
Break-even / profitable outcome	0.84806% / 15.28621%
Loss probability (payout below cost)	83.86573%
Any payout frequency	1 in 2.8571
Profitable outcome frequency	1 in 6.5418
Available maximum probability	0.00002%
Available maximum frequency	1 in 5,000,000
Most probable payout value(s)	0×
Most probable payout probability / frequency	65.00% / 1 in 1.5385
Expected deliveries per paid round	0.202313
Recorded deliveries (unweighted)	281,861
Recorded frames (unweighted)	3,278,142
Largest book (bytes, uncompressed)	144,111

STATISTICS VALIDATION

9 passed

Profile: jetreon-corpus-integrity/1. These are Jetreon integrity checks. External 2 Star / 3 Star requirements have not been attached to this report.

Source integrityPassed

Each book matches its lookup ID, payout and event schema; source hashes are unchanged.

Result: 1,000,000 books matched

jetreon-corpus-integrity/1 / source-integrity

Probability conservationPassed

Exact probabilities of all disjoint payout bands sum to 1.

Result: 1/1

jetreon-corpus-integrity/1 / probability-mass

RTP contribution conservationPassed

Exact band contributions sum to the mode RTP.

Result: 24/25

jetreon-corpus-integrity/1 / rtp-contribution

Configured RTPPassed

Weighted RTP equals the configured 24/25 target.

Result: 24/25

jetreon-corpus-integrity/1 / target-rtp

Base participation costPassed

Base mode costs exactly 1× the base stake.

Result: 1×

jetreon-corpus-integrity/1 / base-cost

Declared maximum is reachablePassed

A positive-weight outcome pays the configured 5,000× cap.

Result: 5000× available

jetreon-corpus-integrity/1 / declared-cap

Round payout attributionPassed

Base payout plus the paid bonus payout equals every full-round payout.

Result: 1,000,000 rounds matched

jetreon-corpus-integrity/1 / payout-attribution

Recorded mechanic examplesPassed

All examples have positive source weight and satisfy the same mechanic predicate used for these frequencies.

Result: 13 examples matched

jetreon-corpus-integrity/1 / replay-provenance

Saved local reference comparisonPassed

Normalized RTP, hit, bonus, volatility and available reference risk / payout attribution values match saved local audit statistics.

Result: Reference metrics matched; this is a local comparison

jetreon-corpus-integrity/1 / reference-statistics

Cross-mode RTP consistencyNot applicable

Compare separately priced participation modes.

Result: Only one participation mode

jetreon-corpus-integrity/1 / cross-mode

Absolute exposure and liabilityNot evaluated

Monetary values require a bet-level template and currency.

Result: No bet-level template attached

jetreon-corpus-integrity/1 / absolute-exposure

RISK & EXPOSURE

Upper-tail CVaR / 99.9% level77.608952×Mean payout in the highest-paying 0.1% probability mass.

Maximum relative exposure5,000×Gross payout per unit of participation cost.

Absolute monetary exposureNot evaluatedNo bet-level template or currency is attached.

CVaR takes exactly 0.10% of the weighted mass, splitting the boundary payout (41.5×) when needed. This measures the operator’s gross payout tail, without subtracting participation cost.

Threshold	Probability ≥ threshold	Frequency	Full tail payout E[x · 1(x ≥ t)]	Excess E[max(x − t, 0)]
40×	0.11315%	1 in 883.7634	0.082974×	0.037713×
5,000×	0.00002%	1 in 5,000,000	0.001×	0×
10,000×	0%	—	0×	0×
25,000×	0%	—	0×	0×
50,000×	0%	—	0×	0×
100,000×	0%	—	0×	0×

Thresholds are inclusive. Full tail payout and excess payout have different definitions. Nested tails overlap and are not added together. All expectations are per paid round, relative to its cost.

MECHANIC STATISTICS

Paid-spin RTP contribution67.76738 pp

Doorbuster RTP contribution28.23262 pp

Payouts attributed using recorded paid totals, checked against each full-round payout. Mechanic frequencies below count complete paid rounds, including their bonus; overlapping mechanics do not sum to 100%.

Doorbuster entry1.66667%

The complete round contains the delivery bonus.

1 in 60 paid rounds · 31,014 corpus records.

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No win65.00%

The complete round pays exactly zero.

1 in 1.5385 paid rounds · 398,203 corpus records.

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Normal win34.44839%

The complete round pays more than zero and less than 20×.

1 in 2.9029 paid rounds · 571,236 corpus records.

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8+ matching products34.05542%

At least one base frame records a paying product group with 8 or more cells.

1 in 2.9364 paid rounds · 583,317 corpus records.

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Coupon Wild8.96244%

The paid spin records a Coupon Wild cast cell.

1 in 11.1577 paid rounds · 120,395 corpus records.

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Product cascades17.49271%

The paid spin contains at least 2 frames with positive payouts.

1 in 5.7167 paid rounds · 397,977 corpus records.

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Rush multiplier · ×56.30055%

At least one base frame has a positive payout at the 5× Rush multiplier.

1 in 15.8716 paid rounds · 246,939 corpus records.

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Doorbuster bonus1.66667%

The complete round contains a Doorbuster bonus object.

1 in 60 paid rounds · 31,014 corpus records.

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Delivery arrivals · attempts reset1.45892%

At least one bonus delivery has a landed arrival and ends with 3 attempts remaining.

1 in 68.5439 paid rounds · 25,003 corpus records.

Among rounds that enter Doorbuster: 87.53513%.

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Rush Bag collection0.83869%

At least one delivery records a Rush Bag collection with positive value.

1 in 119.2338 paid rounds · 12,197 corpus records.

Among rounds that enter Doorbuster: 50.3213%.

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Repeated Rush Bag collections0.38679%

At least two distinct deliveries record positive-value Rush Bag collections.

1 in 258.536 paid rounds · 4,446 corpus records.

Among rounds that enter Doorbuster: 23.2076%.

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Final delivery result1.66665%

Doorbuster ends because attempts run out. Board-full and cap endings are excluded.

1 in 60.0007 paid rounds · 31,009 corpus records.

Among rounds that enter Doorbuster: 99.9988%.

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Big win0.55159%

The complete round pays at least 20× and less than 5,000×.

1 in 181.2938 paid rounds · 30,556 corpus records.

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Maximum win · 5,000×0.00002%

The complete round pays exactly the declared 5,000× cap.

1 in 5,000,000 paid rounds · 5 corpus records.

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Examples use the same corpus hashes. Open an example and press Spin. A selected example does not represent the mechanic’s frequency.

HOW THE MATH WORKS

One paid round, including its bonus

A 6-column, 5-row game. At least 8 matching products pay anywhere on the grid. Coupon Wilds are assigned to one product type, maximizing the incremental payout. Winning products clear and fresh products drop in. Consecutive paying frames use the Rush ladder: 1×, 2×, 3×, then 5×.

At least 3 Gift Scatters in the opening grid start Doorbuster, a delivery bonus. It begins with 3 locked prizes and 3 attempts. Every delivery consumes an attempt; any landed prize or Rush Bag resets the counter to 3.

New Rush Bags collect current prize boxes into their own value and free the collected cells. Previously locked bags retain their values. The bonus ends when attempts run out, the board fills, or the remaining payout cap is reached. Base payouts plus the paid Doorbuster result are capped at 5,000×. Safety limits reject rounds exceeding 200 cascade frames or 1,000 deliveries.

Paytable and rounding

The table shows product-group payouts before Rush multipliers, in multiples of the base stake. Prize-box values are 0.2×, 0.5×, 1×, 2×, 3×, 5×, 10× and 25×. Recorded wins use integer hundredths in 0.1× increments. The paid bonus total can be smaller than the displayed locked total when the remaining round cap is reached.

Symbol	8–9 symbols	10–11 symbols	12+ symbols
Sneaker	0.1×	0.2×	0.4×
Handbag	0.1×	0.2×	0.5×
Sunglasses	0.2×	0.4×	0.8×
Perfume	0.3×	0.6×	1.2×
Ankle Boots	0.4×	0.8×	1.6×
Watch	0.6×	1.2×	2.4×

Generator samples and final selection weights

The finite corpus includes ordinary and importance-sampled rare outcomes. Final integer lookup weights define probabilities; generation counts and local generator settings do not. This report covers the corpus linked to the replay library.

METHODOLOGY & DOWNLOADS

Definitions and exact arithmetic

For outcome i, pᵢ = wᵢ / Σw and xᵢ = payoutᵢ / (100 × mode cost). RTP = 100 × Σ(pᵢxᵢ). Standard deviation = √[Σ(pᵢxᵢ²) − mean²]. Hit = P(x > 0); profit = P(x > 1). Frequency = 1 / probability, including the event round.

Integer weight sums and rational RTP / band contributions are retained exactly. Zero-weight records count toward corpus size but cannot define reachable payouts. Display values are rounded; JSON retains numeric precision and exact rational band values. No confidence interval is needed for this finite weighted distribution.

No Low / Medium / High volatility label is assigned without a defined classification scale. External profiles and monetary risk remain unevaluated when their required configuration is absent.

Saved independent local audit

Saved independent local audit; not a live platform check. Reference RTP, hit probability, bonus entry, standard deviation and available risk metrics were compared after normalizing each report’s units.

math-output/black-friday-rush-v2-final/independent-audit.jsonSHA-256 / ae4df6c2df200ac6cba1c5af8a9ac39c5ed06dc42ce677ae3121c7f30c5e3ef6

Source files and report identity

Generated: 08/10/2026, 17:50:50 UTC

Analyzer: jetreon-weighted-statistics/1

Analyzer SHA-256: 9f2c73724ed54a88c71a0dee8135f12138cc1710664ab1f0130e9fe777dcfb3f

Report ID: 289369fc57bd68ee7ccf0943777ef6daaaf3de26fba6f73ca50ca6f0ee106a1e

indexmath-output/black-friday-rush-v2-final/index.json154 bytesSHA-256 / d7de1050366cc5ac5f864fa2094a6c056483612176b804d21b62ee508eabda1e

booksmath-output/black-friday-rush-v2-final/books_base.jsonl.zst168,297,837 bytesSHA-256 / 5d03f59739a98aafd87d97eb3e11f3bac1bfad018e46445da667388b3f80cb21

weightsmath-output/black-friday-rush-v2-final/lookUpTable_base_0.csv17,342,896 bytesSHA-256 / c8d14477652f5e1a726573a5fcf8110be9022d2e04434b67e01a837585afaa2d

exportReportmath-output/black-friday-rush-v2-final/report.json2,752 bytesSHA-256 / 3cecd59cea2af76cd1e689d9a0d772d8177a7676a33a77ea96a6f6b584c11d4c

Rules description / implementation sourcetitles/black-friday-rush/src/math.tsSHA-256 / 57a7639e51dd80c0343dd5a8ea5ac3db8685efe30cf67f4710d51a1df0a8822f

JSON SHA-256: 5a85de6d737bf8e1aa1c6d09d70ef7e1cb0e97611e4ea2d890d8f885d71eaa9c

CSV SHA-256: 91d6ea5ac067778e06ce06b3b6538a10f2f73bad37d5873c759a37ff74e95f82

All books are read with their corresponding lookup rows. IDs, payouts, schema, base/bonus payout attribution and unchanged source hashes are checked. This analysis does not re-evaluate every payline or certify platform acceptance. Full event books and lookup files are not included in the public downloads.

Download weighted JSON Download bands CSV Permanent version link