HSR Pull Calculator
Optimize your Stellar Jades and predict your Warp luck in Honkai: Star Rail.
Probability Curve (Cumulative)
Visual representation of your success chance vs. number of pulls.
| Pulls | Cumulative Chance (%) | Remaining Jades Required |
|---|
What is an HSR Pull Calculator?
An hsr pull calculator is a specialized mathematical tool designed for players of Honkai: Star Rail to determine their statistical likelihood of obtaining a specific 5-star character from the Warp system. Unlike simple division, this calculator accounts for the “Soft Pity” mechanics and the “50/50” rule that governs the game’s gacha logic.
Players use the hsr pull calculator to manage their Stellar Jades effectively. In a game where resources are limited, knowing if you have a 10% or a 90% chance to secure a character like Acheron or Firefly can significantly influence your pulling strategy. It eliminates the guesswork, providing a data-driven approach to your inventory management.
A common misconception is that pull rates are linear. In reality, the hsr pull calculator uses a modified binomial distribution model that factors in the massive rate spike occurring after the 73rd pull. Without this specific calculation, players often overestimate how many pulls they truly need or underestimate their current stash.
HSR Pull Calculator Formula and Mathematical Explanation
The math behind an hsr pull calculator is divided into two phases: the standard rate and the soft pity rate. The base probability for a 5-star is 0.6%.
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Base Rate (P) | Initial chance of a 5-star | Percentage | 0.6% |
| Soft Pity Start | Pull where rates increase | Integer | 74 |
| Hard Pity | Guaranteed 5-star pull | Integer | 90 |
| 50/50 Rule | Chance of featured character | Ratio | 0.5 or 1.0 |
The calculation follows this logic:
- Pulls 1-73: Chance is constant at 0.6%.
- Pulls 74-89: Chance increases by roughly 6% per pull (Soft Pity).
- Pull 90: Chance is 100% (Hard Pity).
To calculate the chance of getting a featured character, the hsr pull calculator must also account for the “guarantee” status. If you are not on a guarantee, the chance of the 5-star being the featured unit is 50%. If you fail, the next one is 100% guaranteed.
Practical Examples (Real-World Use Cases)
Example 1: Saving for a New Banner
A player has 16,000 Stellar Jades and 10 Special Passes. They are currently at 20 pity and do not have a guarantee. By inputting these into the hsr pull calculator, the tool reveals they have 110 total pulls. The calculator shows a ~65% probability of obtaining the featured character. This helps the player decide whether to skip the banner or risk the 50/50.
Example 2: The Guaranteed Secure
A player just lost their 50/50 and is at 0 pity. They want to know exactly how many Stellar Jades they need for a 100% chance. The hsr pull calculator calculates that 90 pulls are required for hard pity. Since 160 jades = 1 pull, the calculator outputs 14,400 jades as the maximum “safety net” needed.
How to Use This HSR Pull Calculator
Using our hsr pull calculator is straightforward. Follow these steps for accurate results:
- Step 1: Enter your current Stellar Jades in the first field.
- Step 2: Input your Star Rail Special Passes. Do not include standard (grey) passes.
- Step 3: Check your “Warp History” in-game to count how many pulls you’ve made since the last gold 5-star. Enter this in the “Current Pity” box.
- Step 4: Select “Yes” for guarantee if your last 5-star character was a standard unit (like Himeko or Welt) from the limited banner.
- Step 5: Review the probability curve and the milestones table below the main result.
Key Factors That Affect HSR Pull Calculator Results
- Soft Pity Threshold: Most 5-stars are obtained between pulls 75 and 80. The hsr pull calculator emphasizes this “golden zone.”
- Resource Conversion: The 160:1 ratio of Jades to Passes is the fundamental unit of measurement.
- Guarantee Status: This is the single biggest factor. Having a guarantee effectively doubles your effective Jade value for the specific character.
- Banner Duration: Calculating pulls needed vs. daily Jade income (Daily Training + Express Pass) helps determine if you can reach pity before the banner ends.
- Event Income: Most patches give around 70-90 free pulls. The hsr pull calculator helps you plan if that income will push you over the threshold.
- Cumulative Probability: Luck isn’t just “0.6%”. The hsr pull calculator looks at the *total* probability across all available pulls.
Frequently Asked Questions (FAQ)
Related Tools and Internal Resources
- HSR Jade Tracker: Monitor your daily income to feed into the hsr pull calculator.
- Warp Simulator: Practice your pulls and see the hsr pull calculator logic in action.
- Character Build Guide: Now that you’ve calculated your pulls, learn how to build your new unit.
- Relic Scorer: Optimize the gear for the characters you obtain using our hsr pull calculator.
- Ascension Planner: Calculate the materials needed alongside your pull strategy.
- Speed Tuner: Fine-tune the turn order for your newly pulled HSR characters.