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Vorici Chromatic Calculator

Calculate the optimal Path of Exile crafting bench recipe to color items with Chromatic Orbs based on attribute requirements.

Vorici Chromatic Calculator

Calculate the most efficient way to color your sockets using Chromatic Orbs and the crafting bench in Path of Exile.

Item Properties

Stat Requirements

Desired Colors

Desired colors cannot exceed total sockets.

Best Crafting Method

Chromatic Orb
4.6 average chromatics

Optimal method to obtain exactly or more than the desired colors.

Top Options Comparison

Compare the statistical outcomes for the best available recipes.

RecipeSuccess ChanceCost Per TryAvg AttemptsAverage Cost
Chromatic Orb21.54%14.64.6
1 Green Socket38.37%42.610.4
1 Blue Socket38.37%42.610.4
1 Green, 1 Blue89.34%151.116.8
1 Red Socket13.38%47.529.9

Calculation Steps

Calculated base socket chances based on stat requirements:

Red = 67.3%, Green = 16.3%, Blue = 16.3%

Evaluated all valid Vorici crafting bench recipes...

Found Best Option: Chromatic Orb costing 1 Chromatic(s) per try.

Average attempts required: 4.6

Expected total average cost: 4.6 Chromatic Orbs

P(Success) = SUM [ Multinomial(Rolls) * pR^r * pG^g * pB^b ] for all valid outcomes

Understanding Chromatic Orb Mechanics

In Path of Exile, the chance to roll a specific socket color using a Chromatic Orb is heavily weighted by the item's attribute requirements. Red sockets are associated with Strength, Green with Dexterity, and Blue with Intelligence.

The Vorici Bench Formulas

Off-colors (e.g., getting blue sockets on a pure strength item) become exponentially harder as the stat requirement of the base item increases. The crafting bench provides guaranteed colors at a fixed chromatic cost, which is often much more efficient than using individual orbs manually when rolling for difficult combinations.

This calculator runs through the multinomial probability permutations for your required socket combination against all available bench options, returning the mathematically optimal choice.

Assumptions & Reference Values

This tool returns estimates using standard financial formulas and the default parameters shown in the calculator inputs. Always consult a qualified financial advisor before making investment decisions.

Disclaimer

All calculations are for informational purposes only. Past performance does not guarantee future results. Consult a licensed financial advisor for personalized advice.