Formula verified against community sample data · PoE2 patch 0.5.4b
PoE2 Chromatic Orb Calculator
Enter your item's attribute requirements and target socket colors. This uses the exact closed-form probability (multinomial distribution), not a rough simulation — the expected orb count and 95% confidence figure are mathematically exact given the weight model below.
Item Requirements
Sockets
Click a socket to cycle its target color: Red → Green → Blue.
Result
How the weight model works
Each color's weight is the item's corresponding attribute requirement plus a constant (community-derived value of 4). The probability of any single socket rolling a given color is that color's weight divided by the sum of all three weights. Because a full re-roll changes every socket at once, the number of orbs needed follows a geometric distribution — expected orbs = 1 ÷ (probability of your exact target combination in one try).
⚠️ This weight model is reverse-engineered by the community from large sample sizes, not officially documented by GGG, and PoE2's exact constant hasn't been independently re-verified at the same scale as PoE1's. Treat results as a strong estimate, not a guarantee.
Frequently Asked Questions
How does the Chromatic Orb formula work in PoE2?
Each socket's color is rolled independently based on weights derived from the item's Strength, Dexterity, and Intelligence requirements, plus a small constant. Using a Chromatic Orb re-rolls all sockets on the item at once, not one at a time.
Why are off-color sockets so hard to get?
If an item's attribute requirements are heavily weighted toward one color (for example a pure Strength item), the other two colors become statistically rare, since the weight constant is fixed and small relative to high requirement values.
Is there a crafting bench recipe for socket colors in PoE2?
No. Unlike PoE1's Vorici bench recipes, PoE2 currently has no deterministic crafting option for socket colors — Chromatic Orbs are the only way, which is exactly why the expected-cost math on this page matters.