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Vorici Calculator — Path of Exile Chromatic Orbs

Calculate expected chromatic orbs for PoE socket colors. Compare random rolling vs Vorici bench with mean, 90th, and 99th percentile costs.

84.6%

P(Red) per socket

7.7%

P(Green) per socket

7.7%

P(Blue) per socket

Number of Sockets

Desired Socket Colors (click to cycle R → G → B)

2R 1G 1B · 4 sockets

Bench: At least 1 Green (4 orbs fixed)Cheapest

10

Expected orbs

17

90th percentile

30

99th percentile

4 fixed + ~6 rolling remaining

Bench: At least 1 Blue (4 orbs fixed)

10

Expected orbs

17

90th percentile

30

99th percentile

4 fixed + ~6 rolling remaining

Random Chromatic Rolling

20

Expected orbs

45

90th percentile

89

99th percentile

5.084% chance per roll

Bench: At least 1 Red (4 orbs fixed)

37

Expected orbs

80

90th percentile

155

99th percentile

4 fixed + ~33 rolling remaining

Bench: At least 2 Red (25 orbs fixed)

109

Expected orbs

219

90th percentile

412

99th percentile

25 fixed + ~84 rolling remaining

How to Use This Calculator

  1. 1

    Enter item attribute requirements

    Enter the Strength, Dexterity, and Intelligence requirements from the item tooltip. Higher Strength requirement = higher chance of Red sockets per roll. If an item has no requirements (e.g. jewellery), leave all at 0 for equal 33% probability per color.

  2. 2

    Select socket count and desired colors

    Click the socket count (1-6) matching your item. Then click each socket slot to cycle through Red, Green, and Blue until the configuration matches what you want. The probability per color updates live based on your requirements.

  3. 3

    Compare methods and pick the cheapest

    Results show random chromatic rolling vs. every valid Vorici bench option, sorted cheapest first with a green 'Cheapest' badge. Each method shows expected orbs, 90th percentile (budget for bad luck), and 99th percentile (worst realistic case).

What Each Value Means

Expected Orbs (Chromatic Orbs)
The average number of Chromatic Orbs needed across many attempts. Calculated as 1 / P(success), where P(success) is the multinomial probability of rolling the exact desired color configuration in one attempt. This is the mean of a geometric distribution — actual results vary widely around this number.
90th Percentile (Chromatic Orbs)
The orb cost at which 90% of players will have succeeded. 10% of players will spend more than this amount. Use this figure to set a realistic currency budget for the craft. Formula: ceil(log(0.10) / log(1 - P(success))).
99th Percentile (Chromatic Orbs)
The orb cost at which 99% of players will have succeeded. Only 1 in 100 players will need more than this amount. Use this for high-value items where running out of currency mid-craft would be painful.

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Frequently Asked Questions

How does the chromatic orb probability formula work in Path of Exile?
Each socket independently rolls a color based on the item's attribute requirements. The probability for each color is: P(Red) = (Strength + 10) / (STR + DEX + INT + 30), P(Green) = (Dexterity + 10) / total, P(Blue) = (Intelligence + 10) / total. An item with 100 STR and no DEX/INT has a 73.3% chance per socket to roll red. The chance of a full desired configuration is the multinomial probability of all sockets landing correctly simultaneously.
When should I use the Vorici bench instead of random chromatic rolling?
Use the Vorici bench when you need off-color sockets — colors that don't match your item's dominant attribute. For a high-Strength item needing blue sockets, the bench's 'at least 1 blue' (4 orbs fixed) plus rolling the rest is almost always cheaper than pure random rolling. The calculator compares all bench options against random rolling and highlights the cheapest method automatically.
What are the Vorici crafting bench costs?
The Vorici crafting bench in Path of Exile offers three socket-color guarantees per color: 'At least 1 Red/Green/Blue socket' costs 4 Chromatic Orbs; 'At least 2' costs 25 Chromatic Orbs; 'At least 3' costs 120 Chromatic Orbs. These are fixed costs — you pay them once and the result is guaranteed for those specific sockets. Remaining sockets still roll randomly.
What does the 90th and 99th percentile cost mean?
The expected cost is the average over many attempts. Because chromatic orb outcomes follow a geometric distribution, some attempts will take much longer than average. The 90th percentile means 90% of players will finish at or below that cost — 10% will spend more. The 99th percentile is the budget for extremely unlucky outcomes. For expensive off-color crafts, budgeting to the 90th percentile rather than the mean avoids being caught short on currency.
Does this calculator work for Path of Exile 2?
This calculator covers Path of Exile 1 mechanics. Path of Exile 2 uses a completely different socket system — sockets are not colored by Chromatic Orbs and the Vorici bench does not exist in the same form. PoE 2 socket coloring uses Artificer's Orbs and is not probabilistic in the same way. Always verify current game mechanics with the official PoE wiki.