Genshin Pull Calculator

Estimate your wishes, pity, and gem costs in Genshin Impact.

Genshin Pull Calculator

Pull Probability Table

Probability Distribution of Pulls

Pulls Made	Est. 5-Star Chance (%)	Est. 4-Star Chance (%)	Est. 3-Star Chance (%)

What is a Genshin Pull Calculator?

A Genshin Pull Calculator is an indispensable tool for any player of the popular action RPG, Genshin Impact. It allows players to meticulously estimate the number of wishes (pulls) required to obtain a desired 5-star character, weapon, or other rare item. This calculator takes into account the game’s intricate “pity” system, which guarantees rarer items after a certain number of unsuccessful pulls. It also helps players track their Primogem expenditure, a crucial in-game currency obtained through gameplay, events, and purchases. Understanding these mechanics is vital for strategic resource management and maximizing the value of every pull.

Who should use it:

• Players aiming for specific limited-time 5-star characters or weapons.
• New players trying to understand the gacha mechanics and plan their pulls.
• F2P (Free-to-Play) players who need to manage their Primogems carefully.
• Whales (heavy spenders) who want to optimize their spending for desired outcomes.
• Anyone curious about their odds and the pity system in Genshin Impact.

Common misconceptions:

• Pity is always 90/10: While 90 is the hard pity for 5-stars and 10 for 4-stars, the soft pity starts much earlier (around pull 75 for 5-stars), significantly increasing your chances. This calculator aims to provide average estimations.
• Rates are static: The base rates for pulling 5-star (0.6%), 4-star (5.1%), and 3-star (94.3%) items are fixed, but the pity system dramatically alters the *effective* chance as you get closer to the guaranteed pulls.
• Banners are identical: Different banners (Standard, Event Character, Event Weapon, Permanent) have different mechanics and pity structures. It’s crucial to use the correct calculator settings.

Genshin Pull Calculator Formula and Mathematical Explanation

The core of the Genshin Pull Calculator relies on simulating the probability of obtaining items based on the game’s pity system. It doesn’t use a single, simple algebraic formula but rather a probabilistic approach combined with pity mechanics.

Key Concepts:

• Base Rates:
  • 5-Star: 0.6%
  • 4-Star: 5.1% (cumulative, includes guaranteed 4-star every 10 pulls)
  • 3-Star: 94.3% (cumulative, includes guaranteed 3-star every 10 pulls)
• Pity System:
  • 5-Star Pity: Guaranteed at 90 pulls. Soft pity begins around pull 75, increasing the chance drastically with each subsequent pull until 90.
  • 4-Star Pity: Guaranteed at 10 pulls. This means you *will* get at least one 4-star (or higher) item every 10 pulls.
• Banner Specifics:
  • Event Character Banner: 50% chance of rate-up 5-star if you get a 5-star before pity (50/50). If you lose the 50/50, the next 5-star is guaranteed to be the rate-up character (guaranteed).
  • Event Weapon Banner: Uses Epitomized Path. If you get a 5-star weapon and didn’t get your chosen weapon, you track a point. The next 5-star weapon is guaranteed to be your chosen one. Requires getting two 5-star weapons to guarantee one specific weapon.

Calculation Logic:

1. Pulls to Next 5-Star: This is calculated by simulating pulls. It considers the current pity count. If current pity is, say, 70, the calculator estimates pulls needed from 70 up to the pity threshold (e.g., 90), factoring in the increasing probability during soft pity. It also accounts for the 50/50 or guaranteed mechanics on event banners.
2. Pulls to Next 4-Star: This is simpler. The 4-star pity resets every 10 pulls. If `currentPulls4Star` is 3, you need 7 more pulls to guarantee a 4-star.
3. Primogems Spent: `Total Wishes Made * Primogems per Wish`.
4. Rates: The displayed rates are the *effective* probabilities considering the pity system. The base 0.6% for 5-stars is heavily modified by pity.

Variables Table

Variable	Meaning	Unit	Typical Range
Current Pity Count (5-Star)	Number of wishes made since the last 5-star item.	Pulls	0 – 89
Current Pity Count (4-Star)	Number of wishes made since the last 4-star item.	Pulls	0 – 9
Target 5-Star Pity	The pull number at which a 5-star is guaranteed or highly probable.	Pulls	90 (Hard Pity)
Target 4-Star Pity	The pull number at which a 4-star is guaranteed.	Pulls	10
Wishes to Make	Total number of wishes planned for simulation.	Pulls	1+
Primogems per Wish	The cost of one wish in Primogems.	Primogems	160
Banner Type	Type of wish banner being pulled on.	Category	Standard, Event (Character/Weapon), Permanent
Guaranteed 5-Star (Event)	Whether the player is guaranteed the featured 5-star character.	Boolean	True/False
Epitomized Path (Weapon)	Whether the Epitomized Path system is active for weapon banners.	Boolean	True/False
Chosen Weapon (Weapon)	Whether the player has selected a specific desired weapon on the Epitomized Path.	Boolean	True/False

Practical Examples (Real-World Use Cases)

Example 1: Saving for a Limited 5-Star Character

Scenario: A player has 65 pulls on the current Event Character Banner and wants to know how many more wishes they’ll need to get the featured character, “Ganyu”. They are currently at 30 pity on the 50/50.

• Inputs:
  • Banner Type: Event Wish (Character)
  • Guaranteed 5-Star: No (50/50)
  • Current Pity Count (5-Star): 65
  • Current Pity Count (4-Star): 5
  • Target 5-Star Pity: 90
  • Target 4-Star Pity: 10
  • Wishes to Make: 30 (to see the outcome within a reasonable saving goal)
  • Primogems per Wish: 160
• Calculation:
  • Pulls remaining until 5-star hard pity: 90 – 65 = 25 pulls.
  • Since they are at 30 pity on the 50/50, the next 5-star has a ~50% chance of being Ganyu. If they lose the 50/50, they are guaranteed Ganyu on the *next* 5-star.
  • The calculator estimates the average number of pulls needed, considering soft pity and the 50/50 chance. Let’s say the calculator estimates needing an average of 15 more pulls to get Ganyu (this accounts for the chance of winning the 50/50 and hitting pity or losing and hitting the guaranteed pity later).
  • Total Primogems Spent (for these 15 pulls): 15 wishes * 160 Primogems/wish = 2400 Primogems.
• Interpretation: The player needs approximately 15 more wishes (2400 Primogems) to secure Ganyu. They should continue saving and monitor their pity. If they pull a non-featured 5-star, their pity resets to 0, and they are guaranteed Ganyu on their next 5-star within the next 90 pulls.

Example 2: Acquiring a Specific Weapon

Scenario: A player wants the “Staff of Homa” from the Weapon Banner. They have made 40 pulls and have activated Epitomized Path, but haven’t yet gotten their chosen weapon.

• Inputs:
  • Banner Type: Event Wish (Weapon)
  • Epitomized Path: True
  • Chosen Weapon: True
  • Current Pity Count (5-Star): 40
  • Current Pity Count (4-Star): 8
  • Target 5-Star Pity: 80 (Weapon banner 5-star pity is 80)
  • Target 4-Star Pity: 10
  • Wishes to Make: 50 (to assess the investment)
  • Primogems per Wish: 160
• Calculation:
  • Pulls remaining until 5-star hard pity: 80 – 40 = 40 pulls.
  • Since Epitomized Path is active and they haven’t gotten their chosen weapon, the next 5-star weapon they pull *after* potentially losing the first 50/50 (if they get one before pity) is guaranteed to be the Staff of Homa.
  • The calculator estimates the average pulls needed, considering the chance of getting a 5-star weapon before pity and the Epitomized Path mechanic. Let’s say it estimates needing an average of 35 more pulls to guarantee Staff of Homa.
  • Total Primogems Spent (for these 35 pulls): 35 wishes * 160 Primogems/wish = 5600 Primogems.
• Interpretation: The player should expect to spend roughly 35 more wishes (5600 Primogems) to guarantee the Staff of Homa. This helps them decide if they have enough resources or if they need to purchase more Primogems. They also need to consider the guaranteed 4-star every 10 pulls.

How to Use This Genshin Pull Calculator

Using the Genshin Pull Calculator is straightforward and designed to give you quick, actionable insights into your wishing strategy. Follow these steps:

Step-by-Step Instructions:

1. Select Banner Type: Choose the specific banner you are pulling on from the dropdown menu (Standard, Event Character, Event Weapon, Permanent). This is crucial as each banner has unique pity rules.
2. Input Current Pity: Enter your current wish count for both 5-star and 4-star pity. If you just received a 5-star or 4-star item, your pity count resets to 0 for that category. Be accurate here!
3. Set Banner-Specific Options:
   • For Event Character banners, select whether you are currently “Guaranteed” to get the featured 5-star or if you are in a “50/50” situation.
   • For Event Weapon banners, select if “Epitomized Path” is active and if you have “Chosen” your desired weapon.
4. Set Target Pity Thresholds: Input the “Target 5-Star Pity” (usually 90 for Character banners, 80 for Weapon banners) and “Target 4-Star Pity” (always 10).
5. Enter Wishes to Make: Specify how many wishes you intend to perform in this session for the calculation.
6. Set Primogems per Wish: Confirm the cost per wish (default is 160 Primogems).
7. Observe Results: As you adjust the inputs, the calculator will update automatically.

How to Read Results:

• Primary Result (Highlighted): This shows the estimated number of wishes needed to achieve your primary goal (e.g., getting the featured 5-star character).
• Intermediate Values: These provide details like the number of pulls until the *next* guaranteed 5-star and 4-star, the total Primogems spent for the “Wishes to Make” input, and the effective probabilities for 5-star, 4-star, and 3-star items based on your inputs and the pity system.
• Probability Table: This table visualizes the increasing chance of pulling a 5-star or 4-star item as you approach pity thresholds.
• Chart: The dynamic chart visually represents the probability curve for obtaining a 5-star item based on your current pity and the target pity.
• Formula Explanation: Provides a brief overview of the mechanics considered in the calculation.

Decision-Making Guidance:

Use the results to make informed decisions:

• Resource Management: Determine if you have enough Primogems saved for your desired character/weapon.
• Spending Strategy: If you’re short on Primogems, the calculator helps you estimate how many you need to farm or purchase.
• Risk Assessment: Understand the probability of losing the 50/50 on character banners and plan accordingly.
• Patience: Seeing the numbers can help you stay motivated to save for longer periods to guarantee a specific pull.

Key Factors That Affect Genshin Pull Calculator Results

While the Genshin Pull Calculator aims for accuracy, several factors significantly influence the actual outcome of your wishes. Understanding these is key to interpreting the results:

1. Pity System Implementation: The calculator approximates the “soft pity” phenomenon, where the probability of pulling a 5-star increases significantly after pull 75. However, the exact algorithms are not publicly disclosed by miHoYo, leading to estimations rather than absolute certainty. The hard pity (90 for characters, 80 for weapons) is absolute.
2. Banner Type and Rules: Different banners have different pity counters and rules.
   • Standard vs. Event: Pity does not carry over between Standard Wish and Event Wish banners.
   • Character vs. Weapon Event Banners: Each has its own pity count. Weapon banners have a lower hard pity (80) and the Epitomized Path system adds another layer of complexity.
3. 50/50 Mechanic (Character Event Banner): This is arguably the biggest variable. If you pull a 5-star character, there’s a 50% chance it’s the featured character. If you lose, the next 5-star is guaranteed. The calculator uses averages, but your actual luck can vary wildly.
4. Epitomized Path (Weapon Event Banner): This system aims to guarantee your chosen weapon after potentially losing the initial 50/50 chance. The calculator factors this in, but requires accurate input on whether the path is active and if a choice has been made.
5. Current Pity Progress: Your existing pull count directly impacts how many more pulls are needed. Starting closer to pity drastically reduces the estimated number of wishes required.
6. Number of Wishes to Make: The calculator displays intermediate values based on the ‘Wishes to Make’ input. If you enter a small number, it shows outcomes within that range. For projections, it estimates pulls needed to reach the target.
7. Primogem Acquisition Rate: While not directly calculated, the calculator implicitly relies on players understanding how many Primogems they can realistically earn in-game versus how many they might need to purchase.
8. Player Luck/RNG (Random Number Generation): Ultimately, Genshin Impact’s gacha is subject to luck. The calculator provides probabilistic estimates based on the system’s rules, but actual results can deviate significantly due to random chance. You might get lucky and pull a 5-star early, or unlucky and hit hard pity multiple times.

Frequently Asked Questions (FAQ)

Q1: Does pity carry over between different banners?

No, pity counters are specific to each banner type.

• Standard Wish Pity is separate.
• Event Wish (Character) Pity is separate.
• Event Wish (Weapon) Pity is separate.
• Permanent Wish Pity is separate.

However, pity for the Event Character Banner *does* carry over to the *next* Character Event Banner if you don’t pull a 5-star on the current one. Similarly, pity for the Weapon Event Banner carries over to the next Weapon Event Banner.

Q2: What is “soft pity” in Genshin Impact?

Soft pity refers to the period before the hard pity threshold (90 for 5-stars, 80 for weapons) where the probability of pulling a 5-star or 4-star item increases significantly with each subsequent pull. It generally starts around pull 75 for 5-stars and pull 8 for 4-stars. The calculator estimates based on this increasing probability.

Q3: How does the 50/50 work on the Character Event Banner?

When you pull a 5-star character on the Character Event Banner, there’s a 50% chance it will be the featured character. If it’s not the featured character (you “lose” the 50/50), your next 5-star pull from *any* Character Event Banner is guaranteed to be the featured character. This guarantee resets after you obtain the featured character.

Q4: What is the Epitomized Path on the Weapon Banner?

The Epitomized Path allows you to choose one of the two featured 5-star weapons. If you pull a 5-star weapon that is *not* your chosen one, you gain a “Path Fragment”. Collecting one Path Fragment ensures that the *next* 5-star weapon you pull will be your chosen weapon. This system guarantees you one of the two rate-up weapons, but requires two 5-star weapon pulls if you lose the initial 50/50 chance.

Q5: I pulled a 5-star item early, does my pity reset?

Yes. Whenever you pull a 5-star item, your 5-star pity count resets to 0 for that specific banner type. Similarly, pulling a 4-star item resets your 4-star pity count to 0.

Q6: Can I use this calculator for the Standard Banner?

Yes, the calculator can be used for the Standard Banner, but remember that the 50/50 mechanic and Epitomized Path do not apply here. Pity from the Standard Banner does not carry over to Event Banners.

Q7: What’s the difference between pulling 1 wish at a time vs. 10 wishes?

Mechanically, pulling 10 wishes at once guarantees you at least one 4-star item or higher within those 10 pulls due to the 4-star pity. Pulling wishes individually doesn’t change the underlying probabilities or pity system, but the 10-pull ensures you hit the 4-star pity more predictably. The calculator’s output is based on pity thresholds, so the effective result is the same regardless of how you perform the pulls.

Q8: How accurate are the Primogem cost estimations?

The Primogem cost estimations are based on the number of wishes required and the standard cost per wish (160 Primogems). They are accurate *if* the estimated number of wishes is precise. However, since the calculator provides probabilistic estimates, especially considering soft pity and the 50/50, the actual Primogem cost may vary. It’s best to consider these figures as averages or best-case scenarios.

Related Tools and Internal Resources

• Genshin Pull Calculator

  Estimate your wishes, pity, and gem costs in Genshin Impact.

• Genshin Damage Calculator

  Calculate potential character damage outputs based on stats and builds.

• Genshin Artifact Optimizer

  Find the best artifact combinations for your characters.

• Genshin Impact Primogem Guide

  Learn the most effective ways to farm Primogems.

• Genshin Impact Banner Schedule

  Stay updated on upcoming character and weapon banners.

• Understanding Genshin Impact Pity

  A detailed explanation of how the pity system works across all banners.