How many orbs for a Vorici craft?
Enter your item's attribute requirements, its sockets, and the colours you want. See the chance per chromatic orb, the average number of orbs, and whether a Vorici bench recipe is cheaper.
- Average chromatic orbs
- 0
For 0 red, 0 green and 0 blue on a 6-socket item, the average number of chromatic orbs is 0.
- Chance per chromatic orb
- 100%
- Average cost with chromatic orbs
- 0
- Cheapest on average
- Nothing to change
- Its average cost
- 0
- Red socket chance
- 33.3%
- Green socket chance
- 33.3%
- Blue socket chance
- 33.3%
Average chromatic orbs: 0. For 0 red, 0 green and 0 blue on a 6-socket item, the average number of chromatic orbs is 0.
How to calculate
Estimates the chance per chromatic orb of rolling the socket colours you want in Path of Exile, from the item’s attribute requirements, and compares the average cost with Vorici’s bench recipes.
Example with the default inputs (Strength 0, Dexterity 0, Intelligence 0, Sockets on the item 6, Red sockets 0, Green sockets 0, Blue sockets 0, Chromatic orb price 0.5): For 0 red, 0 green and 0 blue on a 6-socket item, the average number of chromatic orbs is 0.
Method: socket colour chances from the requirements (Siveran’s model); chance per orb = sum of the multinomial chances with at least the wanted colours; average orbs = 1 ÷ chance
- Each socket’s colour is rolled on its own, with the colour chances from Siveran’s model (X = 5, C = 5, on-colour ceiling 90%), which he fitted to player data. Grinding Gear Games does not publish the formula.
- Averages treat every chromatic orb as independent. In the game a chromatic orb cannot give the same colours twice in a row, which makes hard outcomes slightly cheaper than shown.
- Vorici’s bench recipes and their costs are those from before patch 3.29, which also added white sockets; this calculator does not model white sockets.
Worked examples
Each example is checked against the calculator on every build.
- Strength 0, Dexterity 0, Intelligence 100, Sockets on the item 4, Red sockets 0, Green sockets 0, Blue sockets 4, Chromatic orb price 0.5 gives Blue socket chance 82.5%, Chance per chromatic orb 46.325039%.Source: Siveran, Vorici Chromatic Calculator source code (the socket color model and the recipe list in src/Main.ts). https://github.com/Siveran/siveran.github.io
- Strength 0, Dexterity 0, Intelligence 100, Sockets on the item 4, Red sockets 1, Green sockets 0, Blue sockets 0, Chromatic orb price 0.5 gives Red socket chance 8.75%, Chance per chromatic orb 30.668357%, Cheapest on average Chromatic orbs.Source: Siveran, Vorici Chromatic Calculator source code (the socket color model and the recipe list in src/Main.ts). https://github.com/Siveran/siveran.github.io
- Strength 50, Dexterity 50, Intelligence 0, Sockets on the item 3, Red sockets 0, Green sockets 0, Blue sockets 3, Chromatic orb price 1 gives Blue socket chance 10%, Chance per chromatic orb 0.1%, Cheapest on average Vorici 3B, Its average cost 120.Source: Siveran, Vorici Chromatic Calculator source code (the socket color model and the recipe list in src/Main.ts). https://github.com/Siveran/siveran.github.io
How it works
Let R, G and B be the item's strength, dexterity and intelligence requirements, and T = R + G + B. The calculator uses Siveran's model, with X = 5, C = 5 and an on-color ceiling of 0.9.
- Color chance per socket.
- No requirements: each color is 1/3.
- One requirement r: the matching color is 0.9 × (r + X + C) ÷ (T + 3X + C). Each other color is (1 − 0.9) ÷ 2 + 0.9 × X ÷ (T + 3X + C).
- Two requirements: each matching color is 0.9 × its requirement ÷ T; the third color is 0.1.
- Three requirements: each color is its requirement ÷ T.
- Chance per chromatic orb. Each socket is rolled on its own. The chance of at least r red, g green and b blue sockets among n sockets is the sum, over every r′ ≥ r, g′ ≥ g, b′ ≥ b with r′ + g′ + b′ = n, of n! ÷ (r′! g′! b′!) × p_red^r′ × p_green^g′ × p_blue^b′.
- Average chromatic orbs = 1 ÷ chance per orb. The cost in chaos is that × the chromatic orb price.
- Vorici bench recipes. A recipe that sets some of the colors you want rerolls the other sockets. Its chance is step 2 for the remaining sockets and the remaining colors, and its average cost is recipe cost ÷ that chance, in chromatic orbs. A recipe is used only if it sets no more of a color than you want.
- Cheapest on average is the method with the lowest average cost in chromatic orbs. On a tie (costs within 1e-12 orbs), the method that comes first wins, in this order: chromatic orbs, then the recipes in the order of Siveran's
Main.tslist (1R, 1G, 1B, 2R, 2G, 2B, 1G1B, 1R1B, 1R1G, 3R, 3G, 3B, 2R1G, 2R1B, 1R2G, 2G1B, 1R2B, 1G2B). - No colours wanted. If you want no red, green or blue sockets, nothing needs to change: 0 orbs.
Bench recipes (before patch 3.29)
| Recipe | Cost (chromatic orbs) |
|---|---|
| One color (1R, 1G or 1B) | 4 |
| Two different colors (1R1G, 1R1B, 1G1B) | 15 |
| Two of one color (2R, 2G or 2B) | 25 |
| Two of one color and one other (2R1G and so on) | 100 |
| Three of one color (3R, 3G or 3B) | 120 |
Sources: Siveran's Vorici Chromatic Calculator (github.com/Siveran/siveran.github.io, src/Main.ts, commit a41d04c, retrieved September 27, 2026) for the model constants and the legacy recipe list.
Assumptions
- The color model is fitted to player data. Grinding Gear Games does not publish the formula.
- Averages treat every chromatic orb as independent. In the game a chromatic orb cannot give the same result twice in a row, which makes hard outcomes slightly cheaper than shown.
- Patch 3.29 added white sockets and changed the bench; this calculator uses the colors and recipes from before that patch.
Worked examples by hand
Four blue sockets on an item with only 100 intelligence. T = 100, so blue is 0.9 × 110 ÷ 120 = 0.825 per socket. Four blue: 0.825⁴ = 46.3%, about 2.2 orbs on average.
At least one red socket on the same item, 4 sockets. Red is 0.05 + 0.9 × 5 ÷ 120 = 0.0875. The chance of no red at all is (1 − 0.0875)⁴ = 0.693, so at least one red is 30.7%, about 3.26 orbs on average. That is cheaper than the Vorici 1R recipe at 4 orbs.
Three blue sockets on an item with 50 strength and 50 dexterity. Blue is the off color, 0.1 per socket, so 0.1³ = 0.1%: 1,000 orbs on average. The Vorici 3B recipe sets all three for 120 orbs, which is cheaper.
Other questions people ask
What is the Vorici Calculator?
The Vorici Calculator is a tool for Path of Exile socket colouring. It estimates the chance of getting the socket colours you want with Chromatic Orbs, the average number of orbs you will need, and whether one of Vorici's crafting bench recipes is cheaper on average.
How do attribute requirements affect socket colors?
Socket colors are heavily influenced by an item's attribute requirements. Strength items favor red sockets, Dexterity items favor green sockets, and Intelligence items favor blue sockets. The calculator uses Siveran's weighted probability model, fitted to player data, to estimate the chance of each color.
How are the socket color chances worked out?
With one requirement, the on-color chance is 0.9 × (requirement + 10) ÷ (requirement + 20), and each off color gets 0.05 + 0.9 × 5 ÷ (requirement + 20). With two requirements, each on color gets 0.9 × its share of the requirements and the off color gets 0.1. With three, each color gets its share. For example, an item with only 100 intelligence has a 82.5% chance of blue per socket.
What is the Jeweller's Method?
The Jeweller's Method uses the crafting bench to change the number of sockets so that the remaining sockets keep or change color, which can be cheaper than Chromatic Orbs for hard off-color combinations. This calculator compares Chromatic Orbs with Vorici's color recipes only.
Should I use the Crafting Bench or spam orbs?
This depends on your risk tolerance and the colors needed. A bench recipe guarantees its colors and rerolls the rest, while Chromatic Orbs are cheaper on average for easy colors but have more variance. The calculator shows which is cheaper on average.