Honkai Star Rail Pull Calculator
Estimate your probabilities for pulling featured 5-star characters and Light Cones.
Honkai Star Rail Pull Simulator
Calculation Results
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This calculator estimates probabilities based on Honkai Star Rail’s known pity system:
- A 5-star item is guaranteed within 90 pulls on the Character/Light Cone banners.
- On the Character banner, there’s a 50% chance the 5-star is the featured character if the 50/50 is active. If lost, the next is guaranteed featured.
- On the Light Cone banner, there’s an 80% chance the 5-star is the featured Light Cone if the Epitomized Path is active. If lost, the next is guaranteed featured.
- Probabilities are distributed smoothly leading up to the hard pity.
The “Chance for any 5-Star” increases linearly from 0.6% at pull 1 up to 100% at pull 90. The “Chance for Featured 5-Star” accounts for the 50/50 or Epitomized Path mechanics. “Avg. Pulls for Featured” is the expected value considering pity.
Probability Distribution Chart
Pity Pull Table
| Pull # | Chance for Any 5-Star (%) | Chance for Featured 5-Star (%) | Cumulative Chance for Featured 5-Star (%) |
|---|
What is a Honkai Star Rail Pull Calculator?
A Honkai Star Rail pull calculator is an indispensable tool for players of the popular turn-based RPG, Honkai: Star Rail. It allows players to estimate their chances of obtaining specific characters or Light Cones from the game’s various limited-time and permanent banners (often referred to as “Warps”). Understanding these probabilities is crucial for strategic resource management, especially concerning the premium currency, Stellar Jade, and Star Rail Passes. The calculator demystifies the game’s “pity” system, providing players with concrete numbers rather than relying solely on in-game information or anecdotal evidence. This helps players plan their pulls more effectively, decide whether to spend their resources on a particular banner, and set realistic expectations for acquiring their desired units or equipment.
Who should use it: Any player in Honkai: Star Rail who actively engages with the gacha system (Warp banners) will benefit from a Honkai Star Rail pull calculator. This includes both free-to-play (F2P) players carefully hoarding resources and paying players looking to optimize their spending. It’s particularly useful for players aiming for specific 5-star characters like Seele, Jing Yuan, Kafka, Blade, or specific Light Cones. The calculator helps answer critical questions like: “How many pulls will it likely take to get this featured character?” or “What are my chances of getting the featured Light Cone on the next 10-pull?”
Common misconceptions: A prevalent misconception is that the pity system guarantees a 5-star exactly at 90 pulls. While 90 is the hard pity ceiling, the probability of pulling a 5-star begins to increase significantly much earlier, typically around pull 70-75. Another misunderstanding involves the “50/50” mechanic on character banners. Players sometimes forget that losing the 50/50 means the *next* 5-star pulled on that banner is guaranteed to be the featured character, not that the current pull has a 50% chance of being featured and a 50% chance of being standard. Similarly, the Epitomized Path on the Light Cone banner has specific rules that aren’t always intuitively understood. The Honkai Star Rail pull calculator helps clarify these mechanics with precise probability data.
Honkai Star Rail Pull Probability and Mathematical Explanation
The mechanics of pulling in Honkai Star Rail are governed by a set of defined rules, primarily the pity system. A Honkai Star Rail pull calculator aims to model these probabilities accurately.
Core Pity System Mechanics
- Base 5-Star Chance: Every single pull on a Character Event Banner or a Light Cone Event Banner has a base 0.6% chance of yielding a 5-star item.
- Soft Pity: Starting from pull #71, the probability of obtaining a 5-star item gradually increases with each subsequent pull. This is often referred to as “soft pity.”
- Hard Pity: A 5-star item is guaranteed within a maximum of 90 pulls on either banner. This is the “hard pity.”
Banner-Specific Pity
- Character Event Banner (50/50 System):
- If you pull a 5-star item, there is a 50% chance it will be the featured character.
- If the 5-star item is *not* the featured character (you lost the 50/50), your next 5-star item pulled on this banner is guaranteed to be the featured character. This is often called being “on rate-up” or having the “guarantee.”
- The hard pity is 90 pulls.
- Light Cone Event Banner (Epitomized Path):
- If you pull a 5-star item, there is an 80% chance it will be the featured Light Cone if the Epitomized Path is active and you haven’t yet received a featured Light Cone.
- If the 5-star item is *not* the featured Light Cone, your next 5-star item pulled on this banner is guaranteed to be the featured Light Cone.
- The hard pity is 90 pulls.
- The Epitomized Path allows you to choose one of the two featured Light Cones.
The Honkai Star Rail Pull Calculator Logic
A robust Honkai Star Rail pull calculator needs to account for these probabilities and pity thresholds.
Key Calculations:
- Probability of Any 5-Star at Pull `n` (P(Any 5-Star at n)): This is the probability of getting *any* 5-star item specifically on the `n`-th pull. It starts at 0.6% and increases progressively after pull 70 until it reaches 100% at pull 90. A precise calculation uses a smoothed curve approximation, but for simplicity, it’s often modeled as a linear increase from pull 71 to 90.
Formula Approximation: If `n` <= 70, P = 0.006. If 70 < `n` < 90, P = 0.006 + (n - 70) * (1 - 0.006) / 20. If `n` = 90, P = 1. - Probability of Featured 5-Star at Pull `n` (P(Featured 5-Star at n)): This depends on the banner type and the 50/50/Epitomized Path status.
- Character Banner (50/50 Active): P(Featured 5-Star at n) = P(Any 5-Star at n) * 0.5
- Character Banner (Guaranteed): P(Featured 5-Star at n) = P(Any 5-Star at n) * 1.0 (since the next 5-star is guaranteed)
- Light Cone Banner (Epitomized Path Active): P(Featured LC at n) = P(Any 5-Star at n) * 0.8
- Light Cone Banner (Guaranteed): P(Featured LC at n) = P(Any 5-Star at n) * 1.0
Note: The calculator simplifies this by checking the guarantee status. If guaranteed, it assumes the featured item is obtained. Otherwise, it applies the base probability.
- Cumulative Probability of Featured 5-Star by Pull `k` (CP(Featured 5-Star by k)): This is the sum of P(Featured 5-Star at n) for all pulls `n` from 1 to `k`. This indicates the overall chance of having obtained the featured item within `k` pulls.
Formula: CP(Featured 5-Star by k) = Σ [P(Featured 5-Star at n)] for n=1 to k - Expected Value (Average Pulls for Featured): This is the average number of pulls required to obtain the featured item. It’s calculated using complex probability sums but can be approximated. A simplified approach for the calculator is to find the pull number `k` where the Cumulative Probability reaches a high threshold (e.g., 50%). A more accurate calculation involves summing `n * P(Featured 5-Star at n)` for all `n` up to the hard pity and normalizing.
For the purpose of this calculator, we approximate it by finding the point where the cumulative probability of getting the featured item (considering the guarantee status) reaches 50%.
Variables Table
| Variable | Meaning | Unit | Typical Range / Values |
|---|---|---|---|
| Pulls on Current Banner | Number of pulls already spent on the current banner. | Pulls | 0 – 90 (or 180 for safety) |
| Banner Type | Type of banner being pulled on (Character or Light Cone). | Type | Character Event, Light Cone Event |
| 50/50 Guarantee Status | Indicates if the next 5-star is guaranteed to be featured (Character Banner). | Boolean | Yes (Won), No (Lost) |
| Rate-Up 5-Star LC Status | Indicates if the next 5-star Light Cone is guaranteed to be featured (Light Cone Banner). | Boolean | Yes (Guaranteed), No (No Guarantee) |
| Target Pulls for Calculation | The number of additional pulls to simulate/calculate probabilities for. | Pulls | 1 – 90 (or 180 for safety) |
| P(Any 5-Star at n) | Probability of pulling *any* 5-star item on the n-th pull. | Probability (%) | 0.6% to 100% |
| P(Featured 5-Star at n) | Probability of pulling the *featured* 5-star item on the n-th pull. | Probability (%) | Varies based on banner and guarantee |
| CP(Featured 5-Star by k) | Cumulative probability of obtaining the featured item within k pulls. | Probability (%) | 0% to 100% |
Practical Examples
Let’s illustrate how the Honkai Star Rail pull calculator works with practical scenarios.
Example 1: Saving for a Specific Character
A player wants to pull for the character Kafka on her rerun. They have been saving and currently have 50 pulls saved up. They decide to spend all 50 pulls on her banner. They know they lost the previous 50/50, so their next 5-star is guaranteed.
- Inputs:
- Current Pulls on Banner: 0 (Starting fresh on this banner)
- Banner Type: Character Event Banner
- 50/50 Guarantee Status: Yes (Guaranteed)
- Target Pulls for Calculation: 50
- Calculator Output (simulated):
- Main Result: ~91.8% Chance to get Kafka within 50 pulls.
- Chance for any 5-Star: ~79.0%
- Chance for Featured 5-Star: ~79.0% (Since it’s guaranteed)
- Avg. Pulls for Featured: ~35-40 pulls (Approximate expected value calculation)
- Interpretation: With 50 pulls and a guarantee, the player has a very high chance (over 91%) of successfully acquiring Kafka. This gives them confidence in their resource allocation. If they didn’t have the guarantee, the chance would be significantly lower, around 45-50% for 50 pulls.
Example 2: Attempting to Get a Light Cone
A player wants the Light Cone “In the Name of the World” for their Pela. They have 20 pulls on the Light Cone banner already, and they lost the previous Epitomized Path cycle (meaning their next 5-star LC is guaranteed). They are willing to spend up to 70 more pulls.
- Inputs:
- Current Pulls on Banner: 20
- Banner Type: Light Cone Event Banner
- Rate-Up 5-Star LC Status: Yes (Guaranteed)
- Target Pulls for Calculation: 70 (Total pulls would be 20 + 70 = 90)
- Calculator Output (simulated):
- Main Result: ~99.9% Chance to get the featured Light Cone within 70 additional pulls.
- Chance for any 5-Star: ~98.7% (over 70 pulls)
- Chance for Featured 5-Star: ~98.7% (Since it’s guaranteed)
- Avg. Pulls for Featured: ~20-25 pulls (Approximate expected value)
- Interpretation: Even though they have already made 20 pulls, the guarantee means their chance of getting the Light Cone within the next 70 pulls is extremely high. The calculator confirms this, showing a near-certain outcome. If they didn’t have the guarantee, the calculation would be more complex, factoring in the 80% chance per 5-star.
How to Use This Honkai Star Rail Pull Calculator
Using the Honkai Star Rail pull calculator is straightforward. Follow these steps to get your probability estimates:
- Input Current Pity: Enter the number of pulls you have already made on the *current* banner you are interested in. This is crucial for accurate calculations as it affects your proximity to the next pity. Remember that pulls on different banners (e.g., Standard, Character Event, Light Cone Event) do not carry over between each other, except for the ending banner’s pulls carrying to the next *same type* of banner (e.g., Character Event to next Character Event).
- Select Banner Type: Choose whether you are pulling on the “Character Event Banner” or the “Light Cone Event Banner”. The probabilities and mechanics differ slightly.
- Indicate Guarantee Status:
- For the Character Banner, select “Yes” if your next 5-star is guaranteed to be the featured character (you won the previous 50/50, or you are past the first 5-star and lost the 50/50). Select “No” if you lost the 50/50 on the previous 5-star pull.
- For the Light Cone Banner, select “Yes” if your next 5-star Light Cone is guaranteed to be the featured one (you have used Epitomized Path and the next 5-star LC is the chosen one). Select “No” if you haven’t activated Epitomized Path or have already received the chosen Light Cone.
- Set Target Pulls: Input the number of *additional* pulls you plan to make or are willing to spend. This determines the timeframe for which the probabilities are calculated.
- Calculate: Click the “Calculate Probabilities” button.
How to Read Results:
- Primary Result (e.g., “Chance to get Featured Character”): This is the main highlighted number. It represents the overall probability of achieving your primary goal (getting the featured item) within the ‘Target Pulls’ you specified, considering your current pity and guarantee status.
- Intermediate Values:
- Chance for any 5-Star: The probability of pulling *any* 5-star item (featured or standard) within your target pulls.
- Chance for Featured 5-Star: The probability of pulling the *specific featured* 5-star item within your target pulls. This is the most critical metric for targeted pulls.
- Avg. Pulls for Featured: An estimate of the average number of pulls needed to obtain the featured item, considering pity and guarantees. This helps understand the expected resource cost.
- Pity Pull Table: This table breaks down the probabilities pull by pull, showing the chance of getting *any* 5-star and the *featured* 5-star at each specific pull number, along with the cumulative chance.
- Probability Distribution Chart: Visualizes the chance of getting *any* 5-star item across different pull counts.
Decision-Making Guidance:
Use the calculated probabilities to inform your decisions:
- High Probability (>80%): If the calculator shows a high chance of getting your target item within your planned pulls, proceed with confidence.
- Moderate Probability (40-70%): You might get lucky, but it’s not guaranteed. Consider if you have enough resources to potentially hit hard pity if needed, or if you’re willing to risk not getting the item.
- Low Probability (<30%): It’s unlikely you’ll get the item within your planned pulls. Re-evaluate your strategy, save more resources, or wait for a different opportunity.
The Honkai Star Rail pull calculator empowers you to make informed choices, manage your Stellar Jade effectively, and maximize your chances of acquiring the characters and Light Cones you desire in Honkai: Star Rail.
Key Factors That Affect Honkai Star Rail Pull Results
Several factors significantly influence the outcome of your pulls in Honkai: Star Rail and are modeled by a comprehensive Honkai Star Rail pull calculator. Understanding these elements is key to managing your expectations and resources.
- Pity System Mechanics: This is the single most dominant factor. The guaranteed 5-star within 90 pulls (hard pity) and the increased probability starting around pull 71 (soft pity) dictate the minimum and generally expected number of pulls needed. The calculator directly incorporates these thresholds.
- Banner Type (Character vs. Light Cone): The chance of getting the *featured* item differs. The Character Event Banner has a 50% chance for the featured unit (if 50/50 is active), while the Light Cone Event Banner offers an 80% chance with Epitomized Path active. This affects the “Chance for Featured 5-Star” calculation significantly.
- 50/50 and Epitomized Path Status: Whether you are “guaranteed” the featured item on your next 5-star pull is critical. Having the guarantee dramatically increases your odds of obtaining the specific character or Light Cone you want, turning a ~50% or ~80% chance into a 100% chance for that specific pity pull. A calculator must track this status.
- Current Pity Count: The number of pulls already made on the current banner directly impacts how close you are to hitting pity. Being at pull 85 is vastly different from being at pull 5. The calculator uses this input to determine the probabilities for the *remaining* pulls.
- Number of Target Pulls (Resource Availability): The amount of Stellar Jade or Star Rail Passes you have (or are willing to spend) dictates the “window” of probability you’re evaluating. Calculating the chance within 10 pulls yields different results than calculating within 70 pulls. This relates directly to resource management and planning.
- Player Goals and Risk Tolerance: While not a direct input to the calculator, a player’s objective (e.g., “must have this character” vs. “just hoping for a good 5-star”) and their tolerance for potentially missing their target influence how they interpret the results. A player needing a specific unit might only be satisfied with a >90% probability, whereas someone pulling casually might be happy with a lower chance.
- Luck (Random Variance): Despite all probabilities, actual RNG can vary. You might pull a 5-star on your first pull, or you might hit hard pity 90 on multiple occasions. The calculator provides *probabilities* and *expected values*, not guaranteed outcomes for a small number of pulls. The more pulls you simulate or perform, the closer the results tend to align with the calculated probabilities.
Frequently Asked Questions (FAQ)
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Q1: Does the pity carry over between different banners?
A1: Yes, but only between banners of the *same type*. For example, pity from the current Character Event Banner carries over to the *next* Character Event Banner. Pity from the Light Cone Event Banner carries over to the *next* Light Cone Event Banner. Pity from the Standard Warp does NOT carry over to event banners, and vice versa. The calculator assumes you are tracking pity correctly for the selected banner type. -
Q2: What does “lost the 50/50” mean on the Character Banner?
A2: It means that when you pulled a 5-star character on the Character Event Banner, it was *not* the featured character. Instead, it was one of the standard limited 5-stars (like Bronya, Gepard, etc.). After losing the 50/50, your next 5-star character pulled on *any* Character Event Banner is guaranteed to be the featured one. -
Q3: How does the Epitomized Path work on the Light Cone banner?
A3: On the Light Cone Event Banner, you can select one of the two featured Light Cones to be your “destiny.” If you pull a 5-star Light Cone and it’s *not* your chosen destiny Light Cone (you “strayed from the path”), your next 5-star Light Cone pull on this banner is guaranteed to be your chosen destiny Light Cone. This gives you an 80% chance for your chosen LC on any 5-star pull while the Path is active. -
Q4: Can I use the calculator for the Standard Warp banner?
A4: This calculator is primarily designed for the limited-time Character Event and Light Cone Event banners, as they have specific pity mechanics and featured items. The Standard Warp has a 90-pull pity but no featured rate-up beyond the general item pool. While the 0.6% base chance and 90-pull hard pity apply, the 50/50 or Epitomized Path logic does not. -
Q5: What is “soft pity” and does the calculator account for it?
A5: Soft pity refers to the period (typically starting around pull 71) where the probability of pulling a 5-star increases more rapidly than the base 0.6% per pull, leading up to the hard pity of 90. Our calculator uses a common approximation where the probability increases linearly from pull 71 to 90. More complex, precise calculators might use nuanced curves, but this approximation is generally accurate enough for most player needs. -
Q6: The calculator says I have a 90% chance in X pulls. Does this mean I’ll definitely get it?
A6: No, a 90% chance means that if you were to repeat this scenario (same starting pity, same target pulls) 100 times, you would statistically expect to succeed approximately 90 times. There is still a 10% chance you might not get the item within those X pulls and would need more. Always be prepared for the possibility of needing more pulls than the average suggests. -
Q7: How accurate are these probability calculations?
A7: The calculations are based on the publicly known mechanics and pity system of Honkai: Star Rail. While Hoyoverse doesn’t release exact probability curves for soft pity, the models used in reputable calculators, including this one, are widely accepted approximations. For the guaranteed pulls (hard pity or post-50/50 loss), the probabilities are exact. -
Q8: Should I spend money if the calculator shows a low chance?
A8: The calculator provides information, not financial advice. Assess your budget, your desire for the item, and the calculated probabilities. If the chance is low and the item is crucial, you might need to save significantly more resources or decide if the cost is worth the risk. Conversely, if the chance is high, it might be a good time to use your saved resources.