Calculator
Example Data Table
| Item Type | Requirements | Sockets | Target | Planning Note |
|---|---|---|---|---|
| Armour chest | 180 STR, 0 DEX, 0 INT | 6 | 4R 1G 1B | Natural rolls may work, but off-colors add risk. |
| Evasion boots | 0 STR, 155 DEX, 0 INT | 4 | 1R 2G 1B | Green sockets are favored by the base. |
| Energy shield gloves | 0 STR, 0 DEX, 120 INT | 4 | 2R 0G 2B | Fixed red options may reduce wasted attempts. |
Formula Used
The calculator uses a weighted socket model. Red weight equals Strength plus the base weight. Green weight equals Dexterity plus the base weight. Blue weight equals Intelligence plus the base weight.
Single socket chance is calculated as color weight divided by total weight. If white chance is entered, that chance is reserved first. The remaining chance is shared by red, green, and blue.
Target probability uses the multinomial formula: n! / (r! g! b! w!) × pR^r × pG^g × pB^b × pW^w. Average attempts equal 1 divided by success chance. Expected cost equals average attempts multiplied by cost per try.
Fixed color models subtract guaranteed colors first. The remaining sockets are then rolled with the weighted formula. This allows quick comparison between natural rolling and fixed color plans.
How to Use This Calculator
- Enter total sockets from one to six.
- Enter Strength, Dexterity, and Intelligence requirements.
- Enter the exact target red, green, blue, and white counts.
- Adjust base weight only when using another probability model.
- Set costs for natural rolls and fixed color methods.
- Press Calculate to see results below the header.
- Use CSV or PDF buttons to save the comparison.
Article
Why socket planning matters
A Path character often fails because gems do not fit. Socket colors decide which active skills and supports can be used. Random rolling looks simple, yet attribute bias changes every attempt. Strength bases favor red. Dexterity bases favor green. Intelligence bases favor blue. Mixed bases sit between those extremes. A planner helps you see that bias before spending currency.
What the calculator estimates
This tool estimates the chance of one target color set. It treats socket order as irrelevant. Four red and two blue sockets are counted as the same goal, no matter where they appear. You can set total sockets, item requirements, target counts, and costs. You can also test fixed color crafts. Fixed colors are removed first. The remaining sockets are rolled with weighted odds.
Why advanced inputs help
Off-color plans can be expensive. A pure armor item may roll red often. The same item may resist blue or green. Small changes in attribute requirements can move the average cost a lot. The base weight field lets you adjust the model. This is useful when community data changes. It also helps private leagues or custom assumptions.
Reading the result
The success chance shows one attempt. Average attempts show the mean number of tries. The deviation warns about swingy outcomes. Confidence attempts estimate how many tries may be needed for a selected confidence level. This is not a guarantee. It is a probability guide.
Practical crafting notes
Use natural rolling when the desired colors match the base. Compare fixed crafts when you need off-colors. A cheap craft can be worse if its success chance remains low. A costly craft can win if it removes hard sockets. Always compare expected cost, not only chance. Keep extra currency ready. Random results can exceed the average.
Good data habits
Enter the exact requirements shown on the item. Set target counts equal to total sockets. Use white socket chance only for special methods. Leave it at zero for normal chromatic planning. Export the table when comparing several bases. This creates a clear record for later trading, crafting, or build testing. Review exported rows after each update. Shared notes prevent repeated mistakes and make expensive plans easier to explain later.
FAQs
What does this calculator measure?
It estimates the probability, average attempts, deviation, and expected currency cost for a selected socket color target.
Why do item requirements matter?
Socket rolls are weighted toward related attributes. Strength supports red, Dexterity supports green, and Intelligence supports blue.
Can the result guarantee my craft?
No. The result is a probability estimate. Actual rolling can finish earlier or later than the average.
Why must target sockets equal total sockets?
The calculator models one full socket layout. Every socket needs a requested color count for exact probability.
What is base color weight?
Base weight is the neutral value added to each color before requirements are compared. Change it for alternate models.
How are fixed colors handled?
Fixed colors are treated as guaranteed. They are removed from the target before remaining sockets are rolled.
Should I enter white sockets?
Use white sockets only when modeling a method that can create them. For normal color rolling, leave white chance at zero.
What does confidence attempts mean?
It estimates how many attempts are needed to reach your chosen chance of success, such as ninety five percent.