HSR Pull Calculator
Plan your Warps and optimize your Stellar Jades for the next Honkai: Star Rail banner.
Probability Curve
Cumulative probability of pulling the featured character relative to number of pulls.
| Milestone | Total Pulls | Success Probability | Jades Required |
|---|
What is an HSR Pull Calculator?
An hsr pull calculator is an essential tool for Honkai: Star Rail players looking to manage their resources efficiently. In a game where "Warping" for your favorite characters involves complex probability and a "pity system," the hsr pull calculator takes the guesswork out of the equation. It allows you to input your current Stellar Jades, Star Rail Special Passes, and existing pity count to determine the statistical likelihood of successfully obtaining a featured 5-star character.
Professional players use the hsr pull calculator to decide whether to skip a banner or commit their hard-earned currency. A common misconception is that the 0.6% base rate remains static; however, the hsr pull calculator accounts for "soft pity," a hidden mechanic where rates increase significantly after pull 73. Using an hsr pull calculator helps players avoid the heartbreak of running out of jades just a few pulls away from a guaranteed drop.
HSR Pull Calculator Formula and Mathematical Explanation
The mathematics behind an hsr pull calculator relies on cumulative binomial distribution and a piecewise rate function. The game uses a standard rate until "soft pity" kicks in.
Variable Definitions
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| $P(b)$ | Base Rate | Percentage | 0.6% (1.6% consolidated) |
| $n$ | Current Pull Count | Integer | 0 to 90 |
| $S$ | Soft Pity Threshold | Integer | 74 Pulls |
| $G$ | 50/50 Guarantee | Boolean | True / False |
The calculation inside the hsr pull calculator uses the formula $P(\text{Success}) = 1 – \prod_{i=1}^{n} (1 – r_i)$. Here, $r_i$ represents the rate at pull $i$. For pulls 1 through 73, $r_i = 0.006$. From pull 74 to 89, $r_i$ increases by approximately 6% per pull until it hits 100% at pull 90 (hard pity).
Practical Examples (Real-World Use Cases)
Example 1: The F2P Saver
Imagine a player with 12,000 Stellar Jades and 10 Passes, starting at 20 pity on a non-guaranteed banner. The hsr pull calculator would first convert jades to 75 pulls, totaling 85 available pulls. Since 85 + 20 = 105, the player is guaranteed at least one 5-star (hard pity is 90). However, because they are on a 50/50, the hsr pull calculator would show approximately a 56% chance of getting the featured character, accounting for the possibility of pulling them early or losing the 50/50.
Example 2: The Soft Pity Target
A player is at 70 pity and has only 1,600 jades (10 pulls). The hsr pull calculator indicates that these 10 pulls are extremely valuable because they cover the soft pity range (74-80). The probability of hitting a 5-star in just those 10 pulls jumps to over 60%, compared to less than 6% for the first 10 pulls of a banner.
How to Use This HSR Pull Calculator
- Input Stellar Jades: Enter your current total in the first field. The hsr pull calculator will automatically divide by 160.
- Input Passes: Add any Star Rail Special Passes you currently hold.
- Set Current Pity: Check your Warp history in-game and count how many pulls have passed since your last gold-tier drop.
- Select Guarantee Status: If your last 5-star was a "standard" character (like Himeko or Welt) on the limited banner, select "Yes."
- Add Days Remaining: The hsr pull calculator adds 60 jades per day for daily training rewards.
- Analyze Results: View the primary success percentage and the cumulative chart to see your "safety zones."
Key Factors That Affect HSR Pull Calculator Results
- Soft Pity Mechanics: The most critical factor. The hsr pull calculator heavily weights pulls between 74 and 80.
- The 50/50 Rule: Every first 5-star has a 50% chance to be the featured character. If you "lose," the next is 100%.
- Stellar Jade Income: Events, Simulated Universe, and Memory of Chaos can provide thousands of extra jades not calculated in the basic daily missions.
- Banner Type: Character banners (90 pity) and Light Cone banners (80 pity) have different math. This hsr pull calculator focuses on characters.
- Hard Pity: The absolute limit at 90 pulls. While rare, the hsr pull calculator must account for this 100% threshold.
- Resource Conversion: Always remember that 160 jades = 1 pull. Using an hsr pull calculator prevents math errors during late-night pulling sessions.
Frequently Asked Questions (FAQ)
Does pity carry over between banners?
Yes, pity on the limited character banner carries over to the next limited character banner. Our hsr pull calculator helps you plan across multiple patches.
What is the probability of winning the 50/50?
Statistically, it is exactly 50%. However, with the hsr pull calculator, we calculate the cumulative chance of obtaining the character across all pulls, which is often higher than 50% if you have enough pulls for two 5-stars.
Is soft pity real?
While not officially stated by HoYoverse, massive data collection from millions of warps confirms that rates spike at pull 74. The hsr pull calculator uses these community-verified rates.
How many pulls do I need for a 100% guarantee?
If you are at 0 pity and not guaranteed, you need 180 pulls. An hsr pull calculator will show you exactly how many jades (28,800) that requires.
Does the hsr pull calculator work for the standard banner?
It can, but standard banners do not have a 50/50 mechanic or "featured" characters in the same way, so the success percentage would refer to "any 5-star."
What is the "consolidated rate"?
The consolidated rate is 1.6%, which includes the pity system. The hsr pull calculator uses the base rate of 0.6% for its pull-by-pull simulation.
Can I get two 5-stars in one ten-pull?
Yes, it is possible. The hsr pull calculator focuses on the probability of getting *at least* one featured character.
How often should I use the hsr pull calculator?
We recommend using the hsr pull calculator every time a new version livestream announces upcoming characters so you can plan your savings.
Related Tools and Internal Resources
- Stellar Jade Farming Guide – Learn how to maximize your income for the hsr pull calculator.
- Warp System Explained – A deep dive into the mechanics powering our hsr pull calculator.
- Character Tier List – Decide which character is worth using the hsr pull calculator for.
- Daily Mission Rewards – Breakdown of consistent income sources in Star Rail.
- Light Cone Pity System – How weapon banners differ from character banners.
- Battle Pass Value Analysis – Calculating the extra pulls gained from the Nameless Honor.