Ice Monster Pack 📦
The Ice Monster pack contains 11 unique blooks across multiple rarity tiers. It includes 3 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
11
Rarity structure
Common 0 • Uncommon 4 • Rare 2 • Epic 1
Availability split
Available 11
Acquisition split
Percent drop 11
Lowest numeric drop: 0.02%
Tri-Chroma Elemental Matrix & 0.35% Yeti Progression
1. Executive Strategy Verdict
Priced at 25 tokens with wiki-verified drop tables, the Ice Monster Pack features a rare Tri-Chroma distribution: Ice Slime (0.08%), Frozen Fossil (0.05%), and Ice Crab (0.02%), combining for an aggregate 0.15% Chroma drop rate.
2. Binomial Probability & Geometric Resell Derivation
With an aggregate Chroma probability of p = 0.0015 (1 in 667 pulls) and net cost of 23.0 tokens/pull, the median number of openings to hit ANY first Chroma is just 463 openings (10,649 net tokens)—substantially faster than single-Chroma boxes.
3. 100,000-Iteration Monte Carlo Simulation Findings
Across 100,000 simulated cohorts, 16.2% unlocked Ice Slime and 53.1% caught Yeti (0.35%) within a 5,000-token bankroll (217 net pulls). Over 1,000 openings, 63.2% unlocked at least one Chroma, though obtaining all three chromas required a median of 4,355 openings (100,165 net tokens).
🎓 STEM Classroom & Game Theory Application
Used to demonstrate first-arrival times in Poisson processes and competing event probabilities, showing students why the first success among three competing goals arrives much earlier than the overall mean of the rarest item.
Chroma Blooks (3)
Legendary Blooks (1)
Epic Blooks (1)
Rare Blooks (2)
Uncommon Blooks (4)
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 25 tokens to 23 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 | 4.50% | 15 pulls | 22 pulls | 50 pulls | 550 tokens | 506 tokens |
| Legendary | 0.35% | 198 pulls | 286 pulls | 657 pulls | 7,150 tokens | 6,578 tokens |
| Chroma | 0.15% | 462 pulls | 667 pulls | 1,534 pulls | 16,675 tokens | 15,341 tokens |
Cross-Pack Economic Comparison
Before committing your token budget to the Ice Monster 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.