Genshin Wish Calculator

Plan your Primogem spending and predict your chances!

Genshin Wish Planner

Wish Distribution Over Wishes

Estimated Pity Progress

Wish Number	Pity Count (5-Star)	Pity Count (4-Star)	Featured 5-Star Chance	5-Star Obtained?	4-Star Obtained?

The Genshin Wish Calculator is a vital tool for players of the popular open-world action RPG, Genshin Impact. It helps players estimate the number of wishes, Primogems, and Fates required to obtain specific characters or weapons. Essentially, it simulates the game’s gacha (“wish”) system, allowing players to plan their in-game currency spending and understand their probability of acquiring desired items based on the game’s pity mechanics. Understanding your odds and potential costs is crucial for efficient resource management in Teyvat. This isn’t just about luck; it’s about strategic planning.

Who should use a Genshin Wish Calculator?

• Players saving up for a specific character or weapon.
• Players who want to track their pity count accurately across different banners.
• New players trying to understand the game’s gacha system.
• Players who want to budget their in-game currency (Primogems and Fates).
• Anyone curious about their statistical chances of pulling a 5-star item.

Common Misconceptions about Genshin Wishes:

• “My luck is bad, I never get 5-stars”: While luck plays a role, the pity system ensures a 5-star within a set number of pulls. The calculator helps visualize this guarantee.
• “The banner resets pity completely”: Pity carries over within specific banner *types* (Character Event, Weapon Event, Standard). The calculator accounts for this.
• “Gacha is purely gambling”: While it shares similarities, the predictable pity system and clear odds make it more of a resource management challenge than pure chance, especially with careful planning using tools like a Genshin Wish Calculator.

Genshin Wish Calculator Formula and Mathematical Explanation

The core of the Genshin Wish Calculator relies on understanding and simulating the game’s pity system. Here’s a breakdown:

Pity System Mechanics:

• Base Pity: A 5-star item is guaranteed within 90 wishes on the Character Event Wish and Standard Wish banners, and within 80 wishes on the Weapon Event Wish banner.
• Featured Item Guarantee: On the Character Event Wish banner, if the 5-star obtained is *not* the featured item (i.e., the player lost the 50/50), the next 5-star obtained *will* be the featured item. This guarantee resets if the featured item is obtained. The Weapon Event Wish banner has a similar “Epitomized Path” system.
• 4-Star Guarantee: A 4-star or higher item is guaranteed every 10 wishes.

Mathematical Derivation:

The calculator simulates each wish individually or uses probability calculations to estimate outcomes over a target number of wishes.

1. Initialization: Start with current pity, Primogem/Fate count, and guarantee status.
2. Wish Simulation Loop: For each wish made (up to the total wishes to make):
   • Increment current pity counters (both 5-star and 4-star).
   • Check 5-star pity: If pity reaches the threshold (90 for character/standard, 80 for weapon), a 5-star is obtained. Reset 5-star pity. Check featured guarantee.
   • Check 4-star pity: If pity reaches 10, a 4-star or higher is obtained. Reset 4-star pity.
   • If no pity is reached, calculate probability:
     • 5-Star Chance: Starts low (e.g., 0.6%) and increases by 6% each wish after pity 74, reaching 100% at pity 90 (or 80 for weapon).
     • Featured 5-Star Chance: If “Guaranteed” is ‘No’, there’s a 50% chance of getting the featured item on the Character Event banner. If “Guaranteed” is ‘Yes’, the chance is 100%.
     • 4-Star Chance: Base chance is higher, with guarantees kicking in.
   • If a 5-star is pulled: Determine if it’s featured based on the guarantee status. Reset pity counters. Update count of 5-stars obtained.
   • If a 4-star is pulled (and not a 5-star): Update count of 4-stars obtained. Reset 4-star pity.
   • Decrement Primogems/Fates based on wish cost (160 Primogems or 1 Fate per wish).
3. Resource Calculation: Calculate the total Primogems and Fates spent. Calculate the difference between needed resources and current resources.
4. Probability Visualization: Generate data for the chart showing the cumulative probability of obtaining a 5-star and potentially the featured item over the course of the simulated wishes.

Variable Table:

Variables Used in Calculation

Variable	Meaning	Unit	Typical Range
currentPity	Number of wishes made since the last 5-star pull on the current banner type.	Wishes	0-89 (Character/Standard), 0-79 (Weapon)
pityType	The type of banner being wished on.	String	“character”, “weapon”, “standard”
guaranteed	Whether the next 5-star is guaranteed to be the featured item.	Boolean	“yes”, “no”
wishesToMake	The target number of wishes the user wants to simulate.	Wishes	1+
primogems	User’s current Primogem count.	Primogems	0+
acquaintFates	User’s current Acquaint Fate count (used for Standard Banner).	Fates	0+
intertwinedFates	User’s current Intertwined Fate count (used for Event Banners).	Fates	0+
primogemCostPerWish	Cost of one wish in Primogems.	Primogems	160
maxPityCharacter	Maximum wishes before a guaranteed 5-star on Character/Standard Banners.	Wishes	90
maxPityWeapon	Maximum wishes before a guaranteed 5-star on Weapon Banners.	Wishes	80
featuredRateIncreaseStart	Wish number where the 5-star rate begins its significant increase.	Wishes	74 (Character/Standard), 71 (Weapon)
featuredRateIncreaseStep	The percentage increase in 5-star rate per wish after the increase starts.	%	6%
fourStarGuaranteedPulls	Maximum pulls before a guaranteed 4-star or higher.	Wishes	10

Practical Examples (Real-World Use Cases)

Let’s look at how the Genshin Wish Calculator can be used:

Example 1: Saving for a Featured Character

Scenario: A player has 5,000 Primogems and 20 Intertwined Fates. They are at 60 pity on the Character Event Wish banner and have lost the 50/50, meaning their next 5-star is guaranteed. They want to know if they can get the featured character, “Luminary,” who is rumored to appear in 30 wishes’ time.

Inputs:

• Current Pity: 60
• Pity Type: Character Event Wish
• Guaranteed: Yes
• Wishes to Make: 30
• Current Primogems: 5000
• Intertwined Fates: 20

Calculator Output (Simulated):

• Total Wishes Used: 30
• Estimated Primogems Needed: 4800 (30 wishes * 160 Primogems/wish)
• Estimated Fates Needed: 0 (since Primogems cover the wishes)
• Primogems Remaining: 200
• 5-Stars Obtained: 1 (guaranteed featured character)
• 4-Stars Obtained: 3 (estimated, based on pity)

Interpretation: Yes, the player has enough Primogems (5000) to cover the 4800 needed for 30 wishes. They will successfully obtain the guaranteed featured character “Luminary” and have 200 Primogems left, plus their original 20 Intertwined Fates. They might even have enough Primogems and Fates to start their pity for the *next* featured character.

Example 2: Pulling on the Weapon Banner

Scenario: A player has 12,000 Primogems and 5 Intertwined Fates. They are at 30 pity on the Weapon Event Wish banner and have *not* chosen an Epitomized Path yet. They want to know their chances of getting the featured weapon, “Celestial Blade,” within 50 pulls, assuming they might need to use the Epitomized Path.

Inputs:

• Current Pity: 30
• Pity Type: Weapon Event Wish
• Guaranteed: No (initially, until Epitomized Path is chosen)
• Wishes to Make: 50
• Current Primogems: 12000
• Intertwined Fates: 5

Calculator Output (Simulated – assuming Epitomized Path is used):

• Total Wishes Used: 50
• Total Fates Used (Primogems converted): 55 (calculated: 50 wishes needed, 5 owned, so 45 more needed, costing 45 * 160 = 7200 Primogems)
• Estimated Primogems Needed: 7200
• Estimated Fates Needed: 45 (to supplement owned Fates)
• Primogems Remaining: 4800
• 5-Stars Obtained: 1-2 (highly variable on weapon banner – includes pity pulls and potential early 5-star)
• 4-Stars Obtained: 5 (estimated)

Interpretation: The player has enough Primogems (12000) to cover the 7200 needed for 45 wishes. They will spend 50 wishes in total (5 owned Fates + 45 wishes from Primogems). The calculator indicates they are likely to get at least one 5-star item. If the first 5-star isn’t the “Celestial Blade,” and they’ve chosen it for the Epitomized Path, the next 5-star (which could occur within the remaining 30 wishes) is guaranteed to be it. They will end up with 4800 Primogems remaining.

How to Use This Genshin Wish Calculator

Using this Genshin Wish Calculator is straightforward. Follow these steps to get accurate predictions for your Genshin Impact wishes:

1. Input Current Pity: Enter the number of wishes you’ve made on the current banner since your last 5-star item. If you haven’t pulled any 5-stars yet, this will be 0.
2. Select Pity Type: Choose the banner you are currently wishing on: Character Event Wish, Weapon Event Wish, or Standard Wish. Pity does not carry over between these types (except Standard banner pity carries over to the Standard banner).
3. Set Guarantee Status: Indicate whether your next 5-star pull is “Guaranteed” to be the featured item. On the Character Event banner, this is ‘Yes’ if you lost the 50/50 on your last 5-star pull. On the Weapon banner, this relates to the Epitomized Path system.
4. Enter Wishes to Make: Specify the total number of wishes you plan to perform. This could be for a single 10-pull, or the number of wishes you anticipate needing until you get your target item.
5. Input Current Resources: Enter your current Primogems, Acquaint Fates (for Standard Banner), and Intertwined Fates (for Event Banners).
6. Click Calculate: Press the “Calculate My Wishes” button.

Reading the Results:

• Primary Result: This is your main outcome, often indicating success (e.g., “You Will Get The Featured Item!”) or a summary of pulls.
• Total Wishes Used: The total number of wishes simulated.
• Estimated Primogems/Fates Needed: How many more Primogems or Fates you’ll need beyond what you currently have.
• 5-Stars/4-Stars Obtained: The estimated number of 4-star and 5-star items you’ll acquire within the simulated wishes.
• Table & Chart: Provides a detailed breakdown of pity progress and probability distributions.

Decision-Making Guidance:

Use the results to decide whether to pull now or save more Primogems. If the calculator shows you’ll fall short, you know how many more wishes you need to save for. If you’re likely to get your target, it confirms your planning.

Key Factors That Affect Genshin Wish Results

Several factors influence the outcome of your Genshin Impact wishes and the accuracy of the Genshin Wish Calculator:

1. Pity Count: This is the most significant factor. Being closer to the pity threshold drastically increases your chances of obtaining a 5-star item sooner. The calculator directly uses this input.
2. Banner Type: Different banners have different maximum pity counts (90 for Character/Standard, 80 for Weapon) and different pool compositions. The calculator accounts for this by allowing selection of the banner type.
3. 50/50 Status (Character Banner): Whether your last 5-star was the featured item or a standard one dramatically impacts the odds. The ‘Guaranteed’ input handles this critical mechanic.
4. Epitomized Path (Weapon Banner): This system allows players to ‘aim’ for a specific featured weapon, guaranteeing it if the first 5-star isn’t the chosen one. The calculator’s ‘Guaranteed’ setting reflects this potential.
5. Resource Management (Primogems & Fates): Having enough currency is fundamental. The calculator helps determine if your current stash and planned acquisitions are sufficient for your desired number of pulls.
6. Wish Volume: The number of wishes you intend to make directly dictates how many pity steps are simulated and how many potential 5-star/4-star items could be obtained. Higher volumes increase the chance of hitting pity multiple times.
7. Starting Pity Accuracy: Ensuring your `currentPity` input is accurate is crucial. If you misremember your pity count, the entire simulation will be skewed.
8. Event Bonuses & Primogem Income: While not directly input into most calculators, real-world events, quests, and daily check-ins provide the Primogems and Fates needed. Planning around these income streams is key to using the calculator’s predictions effectively. For instance, knowing you’ll earn X Primogems before the banner ends helps you budget for the wishes projected by the calculator.

Frequently Asked Questions (FAQ)

Q1: Does pity carry over between different Genshin Impact banners?
A1: Pity carries over *within the same banner type*. Character Event Wish pity carries to the next Character Event Wish, Weapon Event Wish pity carries to the next Weapon Event Wish, and Standard Wish pity carries to the next Standard Wish. They do *not* cross over (e.g., Character Event pity does not affect Weapon banner pity). Our calculator assumes this behavior.

Q2: What are the exact probabilities for pulling 5-star and 4-star items?
A2: The base rate for a 5-star item is 0.6%. This rate increases by 6% every wish starting from the 74th wish (on Character/Standard banners) or 71st wish (on Weapon banners), guaranteeing a 5-star by the 90th (Character/Standard) or 80th (Weapon) wish. A 4-star item or higher is guaranteed every 10 wishes.

Q3: How does the 50/50 system work on the Character Event Wish banner?
A3: When you pull a 5-star item on the Character Event Wish banner, there’s a 50% chance it will be the featured character and a 50% chance it will be a standard 5-star character (like Diluc or Mona). If you get a standard character (lose the 50/50), your *next* 5-star pull on *any* Character Event Wish banner is guaranteed to be the featured character. The calculator uses the “Guaranteed” input to track this.

Q4: Can I use Primogems to buy Fates?
A4: Yes, you can exchange 160 Primogems for 1 Acquaint Fate or 1 Intertwined Fate at any Inazuma City or Liyue Harbor souvenir shop. The calculator converts your Primogems accordingly.

Q5: What happens if I get a 5-star early, before hitting the maximum pity?
A5: If you obtain a 5-star item before reaching the maximum pity count (e.g., you get a 5-star at wish 20), your pity count resets to 0 for both the 5-star and 4-star guarantees on that banner type. The calculator simulates this reset.

Q6: Does the calculator predict the exact 4-stars I will get?
A6: No, the calculator primarily focuses on 5-star pity and guarantees. While it estimates the number of 4-stars based on the 10-pull guarantee, the specific 4-star items obtained are random and not predicted by this tool.

Q7: How accurate is the weapon banner simulation?
A7: The weapon banner simulation is complex due to the Epitomized Path. The calculator assumes you will use the path if needed, increasing the Primogem cost but guaranteeing the desired weapon eventually. It provides an estimate, but RNG can still play a significant role if you hit early 5-stars.

Q8: Can this calculator predict future banner characters or weapons?
A8: No, this calculator works based on the current game mechanics and your input data. It cannot predict future character releases, banner schedules, or changes to the gacha system. It’s a planning tool for existing mechanics.

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