Expected Value by Product
| Product | Price | Mean EV | Median EV | ROI |
Std Dev | P5 | P25 | P75 | P95 | P99 | Simulated |
| Pack |
$3.99 |
$7.99 |
$4.70 |
+100.2% |
$14.13 |
$1.9 |
$2.57 |
$7.11 |
$30.96 |
$48.37 |
1,008,000 |
| Box |
$47.88 |
$95.87 |
$82.23 |
+100.2% |
$45.04 |
$59.51 |
$71.76 |
$101.22 |
$189.37 |
$286.06 |
84,000 |
| Case |
$574.56 |
$1150.44 |
$1136.76 |
+100.2% |
$113.94 |
$990.71 |
$1064.82 |
$1223.63 |
$1358.13 |
$1462.57 |
7,000 |
Mean EV is skewed upward by ultra-rare chase cards; the median tells you what a typical rip returns.
Percentiles show the spread: P5 is a bad rip, P95 is a great one.
Hit Odds (per Booster Box)
| Rarity | Expected / Pack | Expected / Box | Expected / Case | P(≥1 per box) |
| Double Rare |
0.3358 |
4.03 |
48.36 |
100.0% |
| Special |
0.0207 |
0.25 |
2.98 |
22.6% |
| Super Rare |
0.1791 |
2.15 |
25.79 |
100.0% |
| Over Super Rare |
0.0932 |
1.12 |
13.42 |
100.0% |
| Super Special Parallel |
0.0064 |
0.08 |
0.92 |
7.4% |
Active Pull-Rate Model
| Rarity | Finish | Rate / Pack | Odds | Sources |
| Common |
normal |
3.0069 |
3.01 per pack |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet) |
| Uncommon |
normal |
2.3681 |
2.37 per pack |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet) |
| Rare |
hit |
0.9943 |
1 : 1 packs |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet); palworldtcg.gg community pull tracker (BP-01) |
| Double Rare |
hit |
0.3357 |
1 : 3 packs |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet); BP-01 full case pull rate, 12 boxes / 144 packs (r/PalworldTCG); BP-01 4-box opening from a master case, 48 packs (r/PalworldTCG); palworldtcg.gg community pull tracker (BP-01) |
| Super Rare |
foil |
0.1792 |
1 : 6 packs |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet); BP-01 full case pull rate, 12 boxes / 144 packs (r/PalworldTCG); BP-01 4-box opening from a master case, 48 packs (r/PalworldTCG); palworldtcg.gg community pull tracker (BP-01) |
| Over Super Rare |
foil |
0.0932 |
1 : 11 packs |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet); BP-01 full case pull rate, 12 boxes / 144 packs (r/PalworldTCG); BP-01 4-box opening from a master case, 48 packs (r/PalworldTCG); palworldtcg.gg community pull tracker (BP-01) |
| Special |
foil |
0.0207 |
1 : 48 packs |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet); BP-01 full case pull rate, 12 boxes / 144 packs (r/PalworldTCG); BP-01 4-box opening from a master case, 48 packs (r/PalworldTCG); palworldtcg.gg community pull tracker (BP-01) |
| Super Special Parallel |
foil |
0.0063 |
1 : 158 packs |
BP-01 full case tally, 12 boxes / 144 packs (per-box spreadsheet); BP-01 full case pull rate, 12 boxes / 144 packs (r/PalworldTCG); BP-01 4-box opening from a master case, 48 packs (r/PalworldTCG); palworldtcg.gg community pull tracker (BP-01) |
Validation Report
Latest run: PASSED
• 72 metrics checked against research data
• 0 outside tolerance
• 10,000 boxes, 1,000 cases, 100,000 packs
| Metric | Observed | Simulated | Delta | Tolerance | Result |
| C (normal) per pack |
3.006944 |
3 |
-0.23% |
±22.5% |
PASS |
| OSR (foil) per pack |
0.090278 |
0.09299 |
+3% |
±55.5% |
PASS |
| R (hit) per pack |
1 |
1 |
+0% |
±22.5% |
PASS |
| RR (hit) per pack |
0.333333 |
0.33679 |
+1.04% |
±28.9% |
PASS |
| SP (foil) per pack |
0.020833 |
0.02103 |
+0.94% |
±115.5% |
PASS |
| SR (foil) per pack |
0.180556 |
0.17832 |
-1.24% |
±39.2% |
PASS |
| SSP (foil) per pack |
0 |
0.00593 |
+0% |
±35% |
PASS |
| U (normal) per pack |
2.368056 |
2.36494 |
-0.13% |
±22.5% |
PASS |
| OSR (foil) per pack |
0.090278 |
0.09299 |
+3% |
±55.5% |
PASS |
| RR (hit) per pack |
0.347222 |
0.33679 |
-3% |
±30% |
PASS |
| SP (foil) per pack |
0.013889 |
0.02103 |
+51.42% |
±141.4% |
PASS |
| SR (foil) per pack |
0.173611 |
0.17832 |
+2.71% |
±40% |
PASS |
| SSP (foil) per pack |
0.006944 |
0.00593 |
-14.61% |
±200% |
PASS |
| OSR (foil) per pack |
0.083333 |
0.09299 |
+11.59% |
±100% |
PASS |
| RR (hit) per pack |
0.333333 |
0.33679 |
+1.04% |
±75% |
PASS |
| SP (foil) per pack |
0.041667 |
0.02103 |
-49.53% |
±141.4% |
PASS |
| SR (foil) per pack |
0.1875 |
0.17832 |
-4.9% |
±75% |
PASS |
| SSP (foil) per pack |
0.020833 |
0.00593 |
-71.54% |
±200% |
PASS |
| OSR (foil) per pack |
0.1 |
0.09299 |
-7.01% |
±105% |
PASS |
| R (hit) per pack |
0.99 |
1 |
+1.01% |
±105% |
PASS |
| RR (hit) per pack |
0.33 |
0.33679 |
+2.06% |
±105% |
PASS |
| SP (foil) per pack |
0.02 |
0.02103 |
+5.15% |
±105% |
PASS |
| SR (foil) per pack |
0.18 |
0.17832 |
-0.93% |
±105% |
PASS |
| SSP (foil) per pack |
0.007 |
0.00593 |
-15.29% |
±105% |
PASS |
Research Sources
Pull rates are never hardcoded: every observation is stored with its source and confidence,
merged into a weighted model, then verified by simulating 100,000+ packs and comparing
the results back against the research data.