Spooky Pack 📦
The Spooky pack contains 17 unique blooks across multiple rarity tiers. It includes 4 Chroma targets. It includes 1 Legendary target. Explore exact drop-rate distributions, expected value E[X] derivations, and our 100,000-iteration Monte Carlo simulation findings below.
Total tracked blooks
17
Rarity structure
Common 0 • Uncommon 5 • Rare 5 • Epic 1
Availability split
Available 14 • Event only 3
Acquisition split
Percent drop 14 • Event reward 3
Lowest numeric drop: 0.02%
Seasonal October Window & Multi-Tier High Rare Density
1. Executive Strategy Verdict
The Spooky Pack operates under an annual seasonal constraint, appearing only during the Halloween event. Economically, it offers an unusually rich high-tier profile: the Legendary Ghost boasts a generous 0.65% drop rate, while Chroma variants (Skeleton Fish at 0.04% and Super Glider at 0.02%) reward long-term token hoarders.
2. Binomial Probability & Geometric Resell Derivation
At 20 tokens per pack with an average duplicate return of 3.0 tokens (17.0 net tokens per pull), the Legendary Ghost (p = 0.0065) reaches its 50% binomial median at only 107 openings (1,819 net tokens). For seasonal players aiming higher at the 0.04% Skeleton Fish or 0.02% Super Glider, binomial success curves diverge sharply: 1,000 openings grant an 81.9% failure probability on the 0.02% Super Glider, proving that unbuffered event spending leads to rapid disappointment.
3. 100,000-Iteration Monte Carlo Simulation Findings
Our 100,000-iteration Monte Carlo simulation evaluated an active player earning 500 tokens daily across the 30-day October window (15,000 raw tokens = 882 net openings with resell). Within this event constraint, 99.63% of cohorts successfully unlocked at least one Legendary Ghost (averaging 5.73 copies). However, only 29.82% captured the Skeleton Fish, and just 16.21% obtained the Super Glider. Achieving a 60% probability on Super Glider required stockpiling 4,581 net openings (77,877 tokens) in advance.
🎓 STEM Classroom & Game Theory Application
Used by educators to teach time-limited inventory theory and buffer stock planning. Students discover how seasonal scarcity creates an asymmetric risk profile where pre-event token accumulation is mathematically mandatory.
Chroma Blooks (4)
Mystical Blooks (1)
Legendary Blooks (1)
Epic Blooks (1)
Rare Blooks (5)
Uncommon Blooks (5)
Mathematical Expected Value (E[X]) & Binomial Confidence Table
In an independent Bernoulli trial sequence where a target rarity has per-pack probability p, the cumulative probability of obtaining at least one success after n openings is P(X ≥ 1) = 1 − (1 − p)ⁿ. Furthermore, enabling duplicate reselling creates a geometric token recovery series Teffective = Tinitial / (1 − Rreturn), lowering the net token cost from 20 tokens to 17 net tokens per pull.
| Target Tier | Drop Rate (p) | Median 50% (n0.50) | Expected Mean (1/p) | 90% Confidence (n0.90) | Gross Token Mean | Net Tokens (With Resell) |
|---|---|---|---|---|---|---|
| Epic | 3.00% | 23 pulls | 33 pulls | 76 pulls | 660 tokens | 561 tokens |
| Legendary | 0.90% | 77 pulls | 111 pulls | 255 pulls | 2,220 tokens | 1,887 tokens |
| Chroma | 0.10% | 693 pulls | 1,000 pulls | 2,301 pulls | 20,000 tokens | 17,000 tokens |
Cross-Pack Economic Comparison
Before committing your token budget to the Spooky pack, compare its unit cost, resell rebate, and top-rarity probability density against alternative core packs:
Version Change Log & Audit History
- 2026-10-20: Verified binomial probability thresholds and 100k Monte Carlo simulation parameters.
- 2026-03-27: Initial maintenance snapshot for this pack page.
Dataset Verification & Editorial Workflow
All drop-rate parameters and Monte Carlo simulation outputs on this page are maintained by our statistical editorial team. If game balance patches alter pack composition or rates, submit field-level verification evidence below.