Genshin Gacha Calculator

Effortlessly estimate your Primogems, Intertwined Fates, and Pity count for any Genshin Impact banner.

Gacha Simulator Inputs

Gacha Pity & Rates Overview

Probability of obtaining a 5-star item at different Pity counts

Pity Count	Base 5-Star Rate (%)	Guaranteed 5-Star Rate (%)	4-Star Item Rate (Approx.)
1-73	0.6%	0.6%	5.1%
74	0.6% + 6%	6.6%	5.1%
75	0.6% + 12%	12.6%	5.1%
76	0.6% + 18%	18.6%	5.1%
77	0.6% + 24%	24.6%	5.1%
78	0.6% + 30%	30.6%	5.1%
79	0.6% + 36%	36.6%	5.1%
80	0.6% + 42%	42.6%	5.1%
81	0.6% + 48%	48.6%	5.1%
82	0.6% + 54%	54.6%	5.1%
83	0.6% + 60%	60.6%	5.1%
84	0.6% + 66%	66.6%	5.1%
85	0.6% + 72%	72.6%	5.1%
86	0.6% + 78%	78.6%	5.1%
87	0.6% + 84%	84.6%	5.1%
88	0.6% + 90%	90.6%	5.1%
89	0.6% + 96%	96.6%	5.1%
90	100%	100%	5.1%

Note: Pity resets on obtaining a 5-star. The 50/50 for Character Event Banner resets if you get a non-featured 5-star. Rates for 4-stars increase slightly after pity count 7. The 4-star rate is approximate; obtaining a featured 4-star is separate.

What is a Genshin Gacha Calculator?

A Genshin Gacha Calculator is an indispensable tool for players of the popular open-world RPG, Genshin Impact. It helps players estimate the resources (Primogems and Intertwined Fates) required to obtain specific characters or weapons from the game’s “Wish” system, commonly referred to as the gacha. This calculator provides insights into pity mechanics, probability, and resource management, allowing players to strategize their wishes more effectively.

Who should use it? Any Genshin Impact player who participates in the gacha system will find this tool beneficial. This includes:

• New players trying to understand how wishes work.
• Players saving for a specific character or weapon and wanting to know if they have enough resources.
• Players who want to optimize their spending of Primogems and Fates.
• Players curious about their chances of getting a particular item or hitting pity.

Common Misconceptions:

• “It’s just luck”: While luck plays a role, the Genshin gacha system has defined pity rates and probabilities. A calculator helps demystify this.
• “I can get anything with a few wishes”: The probabilities, especially for 5-star items, are low initially. Pity mechanics significantly increase your chances later on, but it’s not guaranteed early.
• “Primogems and Fates are interchangeable”: While 160 Primogems equal one Intertwined Fate, understanding the direct conversion helps in planning.

Genshin Gacha Calculator Formula and Mathematical Explanation

The core of the Genshin Gacha Calculator relies on understanding the game’s Wish mechanics, particularly pity and probabilities. There isn’t one single, complex formula, but rather a series of calculations based on these mechanics:

1. Pity System Calculation

The game has a pity system that guarantees a 5-star item after a certain number of wishes. This is the most critical factor.

• Character Event Wish & Standard Wish: A 5-star item is guaranteed by the 90th wish. The “soft pity” begins around the 75th wish, where the probability of getting a 5-star item increases incrementally with each subsequent wish.
• Weapon Event Wish: This banner has a more complex “Path of Destiny” system. A 5-star weapon is guaranteed by the 80th wish. If the first 5-star weapon obtained is not the one you wanted, you can use the Path of Destiny to choose the desired weapon, and the next 5-star weapon will be the chosen one (guaranteed by the 80th wish again).
• 4-Star Guarantee: A 4-star item is guaranteed by the 10th wish.

The calculator assumes the following probabilities:

• Base 5-Star Rate: 0.6% per wish.
• Pity Increase: For Character/Standard banners, the probability increases linearly from wish 75 up to 100% at wish 90. For Weapon banners, it’s similar but up to 80 wishes.
• 4-Star Rate: Approximately 5.1% per wish. This rate doesn’t “soft pity” in the same way as 5-stars, but a 4-star is guaranteed by the 10th wish.
• 50/50 Mechanic (Character Event Banner): There’s a 50% chance that a 5-star item obtained will be the featured character. If not, the next 5-star is guaranteed to be the featured character.

2. Calculating Wishes Needed for 5-Star

This is the most complex part and depends on current pity and whether the 50/50 is guaranteed.

Let’s denote:

• CurrentPity = Current wishes made since last 5-star.
• WishesToNext5Star = Wishes needed to hit the pity threshold for the next 5-star.
• IsGuaranteed = Boolean, true if the next 5-star is guaranteed (after losing 50/50).

Calculation Logic (Simplified):

1. Determine the “hard pity” threshold (90 for Character/Standard, 80 for Weapon).
2. Calculate wishes needed to reach the pity threshold: WishesToNext5Star = HardPityThreshold - CurrentPity.
3. If IsGuaranteed is true, and we need ‘N’ wishes to hit pity, we need ‘N’ wishes to guarantee the featured 5-star.
4. If IsGuaranteed is false (meaning 50/50 is active):
   • We first calculate the wishes needed to hit pity: WishesToPity = HardPityThreshold - CurrentPity.
   • Then, we factor in the 50% chance. On average, it takes 2 pulls to get the featured item when the 50/50 is active. So, the expected wishes would be roughly WishesToPity * 2. However, since the calculator aims for a likely scenario and not a strict average, it might simplify to assuming one needs to reach pity, and then potentially lose the 50/50 once. The calculator uses a simplified approach based on common player experience: it calculates the wishes to reach the first pity, then considers if a second pity is needed if the 50/50 is lost. For simplicity and common usage, it often calculates based on reaching the guaranteed pity. For example, if you are at pity 70 and not guaranteed, you might need 20 wishes to hit pity 90. If you lose the 50/50, you might need another ~20 wishes. The calculator simplifies this by estimating wishes until a guaranteed pull. A more accurate approach would involve simulating probabilistic outcomes.
5. The calculator’s primary output for “Wishes Needed” often targets the *guaranteed* acquisition of the specific item.

3. Calculating Wishes for Target 4-Stars

This is less precise as 4-stars are more frequent and less structured by pity for specific desired items.

Logic:

1. A 4-star is guaranteed every 10 wishes.
2. The probability of getting a *specific* 4-star item on any given wish (that isn’t a 4-star pity wish) is low.
3. The calculator might estimate based on the total wishes made. For every ~10 wishes, you are guaranteed *a* 4-star. The probability of that 4-star being the specific one you want is roughly 1 in 3 (for Character banner) or 1 in 2 (for Weapon banner, for featured 4-stars).
4. A simplified approach is to calculate how many 4-stars you’d expect to get within the total wishes needed for the 5-star, and then estimate how many of those might be the desired one. Or, calculate wishes needed *specifically* for the target 4-star count, assuming a baseline rate and 10-pull pity.

4. Total Primogems and Fates

Once TotalWishesNeeded is determined:

• TotalPrimogemsNeeded = TotalWishesNeeded * 160
• FatesToAcquire = TotalWishesNeeded - CurrentFates
• PrimogemsToAcquire = FatesToAcquire * 160 + PrimogemsToCoverShortfall (where PrimogemsToCoverShortfall is for any wishes not covered by acquired Fates).

Variables Table

Here’s a breakdown of the key variables used in the Genshin Gacha Calculator:

Gacha Calculator Variables

Variable	Meaning	Unit	Typical Range
CurrentFates	Existing Intertwined Fates.	Count	0+
Primogems	Existing Primogems.	Count	0+
TargetBannerType	Type of banner (Character, Weapon, Standard).	Type	Character Event, Weapon Event, Standard
CurrentPity	Wishes made since last 5-star on the current banner.	Count	0-89
Guaranteed5Star	Flag indicating if the next 5-star is guaranteed.	Boolean (Yes/No)	True / False
Target5StarCount	Number of specific 5-star items desired.	Count	1+
Target4StarCount	Number of specific 4-star items desired.	Count	0+
WishesToNext5Star	Wishes needed to reach the pity threshold for a 5-star.	Count	1-90
TotalWishesNeeded	Estimated total wishes required for all targets.	Count	1+
TotalPrimogemsNeeded	Estimated total Primogems required.	Count	160+
FatesToAcquire	Additional Intertwined Fates needed.	Count	0+
PrimogemsToAcquire	Additional Primogems needed to convert into Fates.	Count	0+

Practical Examples (Real-World Use Cases)

Example 1: Saving for a Specific Character

Scenario: A player wants to obtain the featured 5-star character on the Character Event Banner. They currently have 50 Intertwined Fates, 3000 Primogems, and their current pity on the banner is 25. They have lost the 50/50 previously, so their next 5-star is guaranteed.

Inputs:

• Current Intertwined Fates: 50
• Current Primogems: 3000
• Target Banner Type: Character Event Wish
• Pity Count for this Banner: 25
• Guaranteed 5-Star on Next Pull?: Yes
• Number of Target 5-Stars: 1
• Number of Target 4-Stars: 0

Calculated Results:

• Pity needed: 90 (hard pity) – 25 (current pity) = 65 wishes.
• Since 5-star is guaranteed, total wishes needed = 65.
• Total Primogems needed = 65 wishes * 160 Primogems/wish = 10400 Primogems.
• Total Fates to acquire = 65 wishes – 50 current Fates = 15 Fates.
• Total Primogems to acquire = 15 Fates * 160 Primogems/fate = 2400 Primogems.
• Player currently has 3000 Primogems, which is more than enough.

Interpretation: The player needs 15 more Intertwined Fates (or 2400 Primogems worth) to guarantee the featured character. Since they already have 3000 Primogems, they can achieve their goal without needing to farm more. They will have 15 wishes worth of Primogems remaining after their pulls.

Example 2: Aiming for a Featured 4-Star and Possibly the 5-Star

Scenario: A player is pulling on the Character Event Banner, hoping to get a specific featured 4-star character, and would also like the featured 5-star if possible. They have 10 Intertwined Fates, 1000 Primogems, current pity is 60, and they are NOT guaranteed the 5-star (lost 50/50 previously). They estimate needing 3 copies of the specific 4-star.

Inputs:

• Current Intertwined Fates: 10
• Current Primogems: 1000
• Target Banner Type: Character Event Wish
• Pity Count for this Banner: 60
• Guaranteed 5-Star on Next Pull?: No
• Number of Target 5-Stars: 1
• Number of Target 4-Stars: 3

Calculated Results (Simplified Estimation):

• Wishes to reach pity 90: 90 – 60 = 30 wishes.
• Since not guaranteed, the player might need to pull on the next banner if they lose the 50/50. For estimation, let’s assume they *do* get the featured 5-star within the first 30 wishes (or need another ~30 if they lose 50/50). A common approach is to calculate for the first pity. Let’s estimate 30 wishes for the first 5-star chance.
• Total wishes needed for first 5-star attempt: 30.
• Total wishes for 3 target 4-stars: This is highly variable. On average, you get a 4-star every 10 wishes. So, ~30 wishes might yield 3 4-stars. If the probability of getting the *specific* 4-star is 1/3, then getting 3 copies might take around 30 wishes * 3 = 90 wishes (very rough estimate). Let’s say the calculator estimates needing ~40 wishes to secure 3 target 4-stars.
• The calculator will likely prioritize the 5-star target first. Let’s assume it calculates based on needing 30 wishes for the 5-star. Within these 30 wishes, you’d expect ~3 4-stars (30/10). Getting 3 *specific* ones is unlikely. The calculator might add wishes for the 4-stars. Let’s say it adds an extra 20 wishes for the 4-stars, totaling 50 wishes.
• Total Wishes Needed (approx): 50
• Total Primogems Needed = 50 * 160 = 8000 Primogems.
• Total Fates to Acquire = 50 wishes – 10 current Fates = 40 Fates.
• Total Primogems to Acquire = 40 Fates * 160 Primogems/fate = 6400 Primogems.
• The player currently has 1000 Primogems, meaning they need an additional 5400 Primogems.

Interpretation: The player needs approximately 40 more Intertwined Fates (6400 Primogems worth). They currently have 1000 Primogems, so they need to farm an additional 5400 Primogems or acquire more Fates through other means (e.g., Battle Pass, top-ups) to achieve both goals. This highlights the resource-intensive nature of targeting specific 4-stars alongside 5-stars.

How to Use This Genshin Gacha Calculator

Using the Genshin Gacha Calculator is straightforward. Follow these steps to get accurate estimations for your wishes:

Step-by-Step Instructions:

1. Input Current Resources: Enter the number of Intertwined Fates you currently possess and your current amount of Primogems.
2. Select Banner Type: Choose the type of banner you are pulling on from the dropdown menu (Character Event, Weapon Event, or Standard). This is crucial as pity and rates differ.
3. Enter Current Pity: Input your current Pity Count for the selected banner. This is the number of wishes you’ve made since your last 5-star item. If you just got a 5-star, your pity count is 0.
4. Indicate 5-Star Guarantee: Select whether your next 5-star pull is Guaranteed. On the Character Event Banner, this is ‘Yes’ if you lost the 50/50 on your previous 5-star pull, and ‘No’ if your previous 5-star was the featured character. On Weapon and Standard banners, it’s generally considered ‘Yes’ as there’s no 50/50 mechanic in the same way.
5. Specify Target 5-Stars: Enter how many copies of the desired 5-star item (character or weapon) you want.
6. Specify Target 4-Stars (Optional): If you have a specific 4-star item you’re aiming for, enter the number of copies you desire. Note that this is an estimation due to the high variability of 4-star drops.
7. View Results: Click the “Calculate” button (or observe results updating in real-time if enabled). The calculator will display:
   • Primary Result: The most crucial figure, often the total estimated wishes needed.
   • Total Wishes Needed: The estimated total number of wishes required.
   • Total Primogems Needed: The Primogem equivalent of the total wishes.
   • Fates to Acquire: How many more Intertwined Fates you need.
   • Primogems to Acquire: How many more Primogems you need to farm/buy.
   • Estimated 4-Stars & 5-Stars Acquired: A rough idea of how many total 4-star and 5-star items you might get.
8. Understand the Formula: Read the brief formula explanation to grasp how the results were calculated.
9. Copy Results: Use the “Copy Results” button to easily save or share your calculated estimates.
10. Reset Defaults: If you want to start over or see results with default settings, click the “Reset Defaults” button.

How to Read Results

The primary result highlights the most significant outcome, such as the total wishes required. Intermediate values break this down into actionable steps: how many more Fates or Primogems you need. Pay close attention to the “Guaranteed” status, as it significantly impacts the “Wishes Needed” calculation.

Decision-Making Guidance

Use these results to plan your in-game activities. If the “Primogems to Acquire” is very high, you might need to:

• Focus on daily commissions, events, and exploration for Primogems.
• Consider purchasing the Blessing of the Welkin Moon or the Battle Pass for additional Fates and Primogems.
• Adjust your goals, perhaps aiming for fewer copies of a target item or postponing the wish.

Key Factors That Affect Genshin Gacha Results

While the Genshin Gacha Calculator provides a solid estimate, several real-world factors can influence your actual wish outcomes and the resources you need:

1. Pity Count: This is the single most significant factor. Pulling near the pity threshold drastically reduces the number of wishes needed compared to starting from scratch. Your current pity directly dictates how many more wishes are required to hit the guarantee.
2. Guaranteed 5-Star Status (50/50): On the Character Event banner, losing the 50/50 means the next 5-star is guaranteed. This significantly reduces the *maximum* wishes needed to get the specific featured character, often halving the potential cost compared to winning the 50/50 on a fresh pity count.
3. Banner Type: Weapon banners have a different pity system (80 wishes) and the “Path of Destiny” mechanism, making them potentially more resource-intensive or complex to guarantee a specific weapon compared to character banners. Standard banners have no featured rate-up and a standard 90-wish pity.
4. Luck (RNG Variance): While pity guarantees a 5-star within a certain range, the exact wish number is random. You could get a 5-star at pull 75, 80, or exactly 90. The calculator provides an estimate, often based on reaching the pity threshold, but actual results can vary. Similarly, for 4-stars, the number needed can fluctuate wildly.
5. Resource Acquisition Rate: The speed at which you earn Primogems and Fates in-game directly impacts how quickly you can save up. Daily commissions, world exploration, events, Spiral Abyss clears, and even promotional codes all contribute, but at varying rates. Some players might clear all content quickly and find Primogem generation slows down.
6. Spending Habits (In-Game & Real Money): Players who choose to purchase Genesis Crystals for Primogems or buy the Welkin Moon/Battle Pass will naturally acquire wishes faster than Free-to-Play (F2P) players. The calculator doesn’t account for real-world spending but assumes in-game resource acquisition.
7. Targeting Multiple Items: Aiming for multiple copies of a 5-star (e.g., C2 Kazuha) or several specific 4-star characters significantly increases the estimated wishes and Primogems needed, often exponentially.

Frequently Asked Questions (FAQ)

What is “pity” in Genshin Impact?

Pity is a hidden mechanic in Genshin Impact’s Wish system that guarantees a high-rarity item (4-star or 5-star) after a certain number of wishes without receiving one. For example, a 4-star is guaranteed by the 10th wish, and a 5-star by the 90th wish on character/standard banners.

What is the “soft pity” and “hard pity”?

Hard pity is the absolute maximum number of wishes required to get a 5-star (90 for Character/Standard, 80 for Weapon). Soft pity refers to the increased probability of obtaining a 5-star item that starts around wish 75 (for Character/Standard) or wish 65 (for Weapon), where the chance increases significantly with each subsequent wish until hard pity is reached.

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

When you receive a 5-star item on the Character Event 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 Jean, Diluc, etc.). If you receive a standard 5-star, your next 5-star pull on that *same* banner is guaranteed to be the featured character.

Does pity carry over between banners?

Yes, pity counts carry over between banners of the *same type*. Pity from the Character Event Banner carries over to the next Character Event Banner. Pity from the Standard Banner carries over to future Standard Banners. Pity from the Weapon Banner carries over to future Weapon Banners. However, pity does NOT transfer between Character/Standard and Weapon banners.

How many Primogems equal one Intertwined Fate?

160 Primogems are equivalent to one Intertwined Fate, which is used for the Character Event, Weapon Event, and Standard banners.

Is the calculator 100% accurate?

The calculator provides a highly accurate estimate based on the known pity mechanics and average probabilities. However, actual RNG (luck) can cause variance. It’s best used for planning rather than a guaranteed outcome prediction for every single pull. The calculation for specific 4-stars is particularly approximate.

Can I use this calculator for Epitomized Path?

The calculator accounts for the “Guaranteed 5-Star” status, which is the primary effect of the Epitomized Path. If you have activated Epitomized Path and received a non-featured weapon, your next 5-star weapon is guaranteed to be the one you chose. The calculator’s ‘Guaranteed 5-Star’ option reflects this scenario for the Weapon Banner.

How should I interpret the “Estimated 4-Stars Acquired” result?

This number is an approximation. On average, you receive a 4-star item every 10 wishes. The calculator estimates the total number of 4-star items you’d likely receive within the total wishes needed for your 5-star target(s). Getting specific 4-star items is subject to much higher variance.

What if I want multiple copies of the featured 5-star?

You would need to increase the “Number of Target 5-Stars” input. Be aware that each additional copy of a 5-star (especially constellations) dramatically increases the required wishes and Primogems, as you’ll likely need to hit pity multiple times and potentially win the 50/50 each time if not guaranteed.