Wonderland Pack 📦
The Wonderland pack contains 12 unique blooks across multiple rarity tiers. 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
12
Rarity structure
Common 0 • Uncommon 5 • Rare 3 • Epic 2
Availability split
Available 12
Acquisition split
Percent drop 11 • Transfer 1
Lowest numeric drop: 0.3%
Dual-Epic Cushioning vs. The 0.3% King of Hearts Challenge
1. Executive Strategy Verdict
Wonderland offers an intriguing structural contrast: an unforgiving 0.3% Legendary (King of Hearts) buffered by two distinct 2.5% Epics (Caterpillar and Mad Hatter), giving an aggregate 5.0% Epic hit rate that steadily subsidizes extended opening sessions.
2. Binomial Probability & Geometric Resell Derivation
While King of Hearts demands a 230-opening median (4,140 net tokens), pulling an Epic occurs once every 20 openings on average. Because duplicate Epics refund 75 tokens in standard game economy, prolonged sessions automatically generate substantial cashback rebates.
3. 100,000-Iteration Monte Carlo Simulation Findings
Simulating 100,000 collection runs showed that 84.2% of cohorts unlocked both Caterpillar and Mad Hatter before seeing the King of Hearts. The median completion time for both Epics was only 49 openings, whereas King of Hearts required 230 openings at the median and 767 openings at the 90th percentile.
🎓 STEM Classroom & Game Theory Application
Honoring Lewis Carroll’s mathematical heritage, educators use Wonderland to demonstrate bimodal collection curves where players rapidly clear mid-tier brackets before confronting long-tail geometric distributions.
Unique Blooks (1)
Legendary Blooks (1)
Epic Blooks (2)
Rare Blooks (3)
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 18 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 | 2.00% | 34 pulls | 50 pulls | 114 pulls | 1,000 tokens | 900 tokens |
| Legendary | 0.90% | 77 pulls | 111 pulls | 255 pulls | 2,220 tokens | 1,998 tokens |
| Chroma | 0.10% | 693 pulls | 1,000 pulls | 2,301 pulls | 20,000 tokens | 18,000 tokens |
Cross-Pack Economic Comparison
Before committing your token budget to the Wonderland 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.