Genshin Pity Calculator

What is a Genshin Pity Calculator?

A Genshin Pity Calculator is an essential tool for players of the popular open-world RPG, Genshin Impact. It helps you estimate the probability of acquiring a desired 5-star character or weapon from the game's gacha (wish) system. The term "pity" refers to a hidden counter that tracks the number of wishes you've made since your last 5-star pull. As this counter increases, your chances of getting a 5-star item significantly improve, especially due to a mechanic known as "soft pity."

This calculator is designed for any Genshin Impact player who wants to plan their wishes strategically, manage their Primogems effectively, or simply understand their odds before diving into a new banner. It's particularly useful for those tracking their progress towards a specific character on the Genshin Character Banners or a powerful weapon from the Genshin Weapon Banners.

Common misunderstandings often revolve around the 50/50 mechanic and the exact point where "soft pity" begins. Many players mistakenly believe the 5-star rate is constant until the hard pity limit, but in reality, the probability starts to ramp up much earlier. This calculator aims to demystify these mechanics and provide clear, actionable insights.

Genshin Pity Calculator Formula and Explanation

The core of any Genshin Pity Calculator lies in understanding the game's probability distribution for 5-star pulls. While the exact formula is not publicly disclosed by miHoYo (the game developers), the community has extensively tested and reverse-engineered the rates, leading to highly accurate approximations. Our calculator uses these widely accepted probability curves for precise predictions.

The calculation involves a cumulative probability model. For each wish you plan to make, the calculator determines the probability of pulling a 5-star at that specific pity count, taking into account the increasing rates of soft pity. It then sums these probabilities to give you the overall chance of getting at least one 5-star within your specified number of wishes.

The formula can be conceptualized as: P(Desired 5-star within X wishes) = 1 - P(NOT getting Desired 5-star in X wishes) Where P(NOT getting Desired 5-star in X wishes) = Product [1 - P(Desired 5-star at wish k)] for k = 1 to X (adjusted for current pity and banner rules).

Key variables and their inferred units:

Practical Examples

Let's walk through a couple of realistic scenarios using the Genshin Pity Calculator.

Example 1: Character Event Banner, 50/50 Active

• Inputs:
  • Current Pity: 30 Wishes
  • Wishes to Make: 50 Wishes
  • Banner Type: Limited Character Event Banner
  • 50/50 Status: 50/50 Active
• Calculation & Results (approximate):

  With 30 pity and planning 50 more wishes, you'll be making wishes up to 80 pity. Since soft pity significantly increases rates from 74 onwards, your probability of getting a 5-star within these 50 wishes is high. Given the 50/50 status, there's a 50% chance it's the featured character.

  Primary Result: Approximately 70-80% chance of getting the desired featured 5-star.

  Intermediate Values:

  • Average Wishes for Next Desired 5-star: ~35 Wishes (from current 30 pity)
  • Total Primogems Needed: 8,000 Primogems (50 wishes * 160)
  • Estimated Pity After Wishes: 80 (if no 5-star obtained, otherwise resets to 0)

Example 2: Weapon Event Banner, Low Pity

• Inputs:
  • Current Pity: 5 Wishes
  • Wishes to Make: 60 Wishes
  • Banner Type: Limited Weapon Event Banner
  • 50/50 Status: N/A (Weapon Banner has different rules, this calculator defaults to general featured weapon chance)
• Calculation & Results (approximate):

  Starting with very low pity on the weapon banner and making 60 wishes will bring you into the soft pity range (which starts around 63 for weapons). The calculator will estimate the probability of getting *any* featured 5-star weapon within these wishes.

  Primary Result: Approximately 40-50% chance of getting a featured 5-star weapon.

  Intermediate Values:

  • Average Wishes for Next Desired 5-star: ~50 Wishes (from current 5 pity)
  • Total Primogems Needed: 9,600 Primogems (60 wishes * 160)
  • Estimated Pity After Wishes: 65 (if no 5-star obtained)

How to Use This Genshin Pity Calculator

Our genshin pity calculator is designed for ease of use and accuracy. Follow these simple steps to get your personalized probability estimates:

1. Enter Current Pity: Input the number of wishes you've already made on your current banner since your last 5-star pull. This is a crucial number for accurate calculations, as it directly impacts your proximity to soft and hard pity.
2. Specify Wishes to Make: Enter the number of additional wishes you plan to perform. This defines the window for which the probability will be calculated.
3. Select Banner Type: Choose whether you are wishing on a "Limited Character Event Banner," "Limited Weapon Event Banner," or "Standard Banner." Each banner type has different pity caps (90 for Character/Standard, 80 for Weapon) and probability distributions.
4. Indicate 50/50 Status (Character Banner Only): If you're on a Character Event Banner, select "50/50 Active" if you either won your last 50/50 or haven't pulled a 5-star yet. Choose "Guaranteed" if your last 5-star was a standard character or weapon, meaning your next 5-star is guaranteed to be the featured character. This option is hidden for Weapon and Standard Banners as it doesn't apply.
5. Click "Calculate Pity": The calculator will instantly process your inputs and display your results.
6. Interpret Results: The primary result shows your cumulative probability of obtaining a desired 5-star. Intermediate values provide insights into average wishes needed, Primogem costs, and your estimated pity after your planned wishes.
7. Use the "Copy Results" Button: Easily copy all your calculation results, units, and assumptions to your clipboard for sharing or record-keeping.

Remember that all calculations are probabilistic estimates. While highly accurate, they do not guarantee a pull, as the gacha system still involves an element of luck.

Key Factors That Affect Genshin Pity

Understanding the factors that influence the Genshin Impact pity system is crucial for effective wish planning:

• Current Pity Count: This is the most direct factor. The higher your current pity, the closer you are to hitting soft or hard pity, and thus, the higher your chances of a 5-star pull. Pity is unitless, simply a count of wishes.
• Soft Pity Threshold: This is the point where the probability of pulling a 5-star significantly increases. For Character and Standard Banners, soft pity generally starts around 74 wishes. For Weapon Banners, it's typically around 63 wishes. This isn't a hard number but a range where rates begin to ramp up dramatically.
• Hard Pity Cap: This is the absolute maximum number of wishes you can make without getting a 5-star. For Character and Standard Banners, it's 90 wishes. For Weapon Banners, it's 80 wishes. Reaching hard pity guarantees a 5-star pull.
• 50/50 Mechanic (Character Banner): On Character Event Banners, when you pull a 5-star, there's a 50% chance it's the featured character and a 50% chance it's a standard 5-star. If you lose the 50/50 (get a standard 5-star), your next 5-star is guaranteed to be the featured character. This significantly impacts the probability of getting your *desired* 5-star.
• Epitomized Path (Weapon Banner): The Weapon Event Banner has a unique "Epitomized Path" system. You can choose one of the two featured 5-star weapons. If you pull a 5-star weapon that isn't your chosen one, you gain 1 Fate Point. At 2 Fate Points, your next 5-star weapon is guaranteed to be your chosen one. This adds a layer of complexity for specific weapon targeting.
• Banner Type: As mentioned, Character, Weapon, and Standard Banners have different pity caps and base rates. Always ensure you're calculating for the correct banner type.
• Primogem Availability: Ultimately, your ability to make wishes is limited by your Primogem reserves. Each wish costs 160 Primogems, so planning your pulls based on your currency is essential.

Frequently Asked Questions about Genshin Pity

Related Tools and Internal Resources

To further enhance your Genshin Impact strategizing, explore these related tools and guides:

• Genshin Impact Wish System Explained: A comprehensive guide to how the gacha system works.
• Guide to Genshin Character Banners: Learn about current and upcoming character banners, and how to maximize your pulls.
• Understanding Genshin Weapon Banners: Delve into the intricacies of weapon banners, including Epitomized Path.
• Genshin Primogems Guide: Discover the best ways to farm and manage your Primogems for future wishes.
• Soft Pity Genshin Explained: A detailed breakdown of how soft pity works and its impact on your chances.
• Genshin 5-star Rates Breakdown: An in-depth look at the base probabilities for 5-star pulls across all banners.