📐 Math

Genshin Impact Wish Calculator – Plan Your Pulls

Free Genshin Impact wish calculator to estimate your pity and banner pulls. Track progress and plan primogems for guaranteed 5-stars instantly.

⚡ Free to use 📱 Mobile friendly 🕒 Updated: June 13, 2026
🧮 Genshin Impact Wish Calculator
📊 Cumulative Wish Cost vs 5-Star Character Guarantee by Pity Count

What is Genshin Impact Wish Calculator?

A Genshin Impact Wish Calculator is a specialized mathematical tool that estimates the number of wishes required to obtain a specific character or weapon from the game's gacha system, factoring in pity mechanics, soft pity thresholds, and banner types. Unlike simple guesswork, this calculator applies the game's official probability distribution models—including the consolidated 1.6% rate for five-star items and the escalating soft pity from wish 74 onward—to deliver realistic projections. For the millions of Travelers navigating Teyvat, understanding wish probability is crucial for budgeting Primogems and real currency, especially when chasing limited five-star characters like Raiden Shogun or Hu Tao.

Free-to-play players use this tool to determine how many months of daily commissions and events they need to save, while spenders use it to estimate the cost in Genesis Crystals before committing to a banner. Content creators and theorycrafters also rely on it to simulate thousands of wish scenarios for statistical analysis, helping the community understand the true cost of "guaranteeing" a character. This free online Genshin Impact Wish Calculator provides instant, accurate results without requiring any account login or personal data, making it accessible to every player regardless of platform.

The tool eliminates manual error from complex probability math, delivering a clear breakdown of expected wishes, total Primogem cost, and the likelihood of hitting soft pity versus hard pity at 90 wishes.

How to Use This Genshin Impact Wish Calculator

Using this calculator takes less than thirty seconds. You input your current pity count, your desired outcome, and your available resources, then the tool instantly computes the statistical distribution of your wish path. Follow these five straightforward steps to get your personalized wish projection.

  1. Select Your Banner Type: Choose between the "Character Event Wish," "Weapon Event Wish," or "Standard Wish" from the dropdown menu. Each banner type has different pity mechanics—character banners guarantee the featured character at 180 wishes max, while weapon banners have an epitomized path system. Selecting the correct banner ensures the calculator applies the right soft pity curve and guarantee rules.
  2. Enter Your Current Pity Count: Input the number of wishes you have made since your last five-star pull. This number ranges from 0 to 89. The calculator uses this to determine how close you are to soft pity (starting at wish 74 for character banners) and hard pity (wish 90). If you are at pity 73, for example, the tool adjusts probabilities to account for the steep rate increase starting at wish 74.
  3. Set Your Guarantee Status: Specify whether you are on a "50/50" (first five-star has a 50% chance to be the featured character) or "Guaranteed" (your next five-star is the featured character because you lost the previous 50/50). This is the single most important variable—a guaranteed path halves the expected wish count compared to a 50/50 scenario. The calculator applies this as a binary modifier to the probability tree.
  4. Input Your Target: Choose whether you want the "Featured Character," "Any Five-Star Character," or a specific "Constellation Level" (e.g., C2 or C6). For weapon banners, select the "Epitomized Path Weapon" or "Any Five-Star Weapon." Each target type changes the calculation: aiming for C6 requires running the probability model six times, while just wanting any five-star uses a simpler single-pull distribution.
  5. Add Your Resources (Optional): Enter your current Primogems, Intertwined Fates, and Starglitter count. The calculator will convert these into total wishes and show you how close you are to your target. For example, 14,400 Primogems equals 90 wishes, which is exactly one hard pity cycle. This step helps you decide whether to pull now or save.

For best results, update your pity count after every ten-pull session. The tool also includes a "Reset" button to clear all fields instantly, and a "Detailed Breakdown" toggle that reveals the probability curve for each individual wish number from 1 to 90.

Formula and Calculation Method

The Genshin Impact Wish Calculator uses a cumulative probability model based on the game's officially disclosed gacha mechanics, combined with community-verified soft pity data mined from version updates. The core formula calculates the probability of obtaining a target item within a given number of wishes, considering the non-linear rate increase after wish 73. This model is essential because simple average calculations (1.6% × 90 = 1.44 expected five-stars) fail to capture the real distribution, which is heavily skewed toward the 74–80 wish range.

Formula
P(target) = 1 - ∏i=1n (1 - pi)
where pi = 0.006 for i ≤ 73,
pi = 0.006 + 0.06 × (i - 73) for 74 ≤ i ≤ 89,
and p90 = 1.0 (hard pity)

In this formula, n represents the total number of wishes you plan to spend, and pi is the probability of obtaining a five-star on the i-th individual wish. The product runs from your current pity count plus one to your target wish number. For guaranteed calculations, the tool runs this model twice: once for the 50/50 outcome (multiplying by 0.5) and once for the guarantee (multiplying by 1.0), then combines both branches into a single expected value.

Understanding the Variables

The primary input variables are: Current Pity (the number of wishes since your last five-star, 0–89), Banner Type (character, weapon, or standard), Guarantee Status (50/50 or guaranteed), and Target Type (single five-star, specific featured, or constellation level). Each variable directly alters the probability curve. For example, entering "Current Pity = 70" shifts the starting point of the pi sequence to i=71, meaning the soft pity boost begins just three wishes later. The Target Type variable triggers a loop: for C2, the calculator runs the single-target model three times, summing the expected wishes for each copy while accounting for the alternating 50/50 and guarantee status after each successful pull.

The tool also tracks Resource Conversion: 1 Intertwined Fate = 160 Primogems, 1 Starglitter = 1/5 of a wish (since 5 Starglitter buys 1 Fate), and 1 Genesis Crystal = 1 Primogem at 1:1 exchange. These conversions feed into a secondary output showing "Wishes Possible" versus "Wishes Needed," giving you a clear deficit or surplus.

Step-by-Step Calculation

First, the calculator determines the starting index for the probability sequence: if your current pity is 45, the first wish in your session is wish number 46. Second, it builds an array of pi values from i=46 to i=90, applying the base 0.6% rate until i=73, then adding 6% per wish until i=89, and finally setting p90 = 100%. Third, it computes the cumulative probability of failure (1 - pi) for each wish and multiplies them together. Fourth, it subtracts that product from 1 to get the success probability for that specific wish count. Fifth, for 50/50 scenarios, it halves the success probability for the first five-star and then adds a second full probability chain for the guaranteed follow-up. Finally, it sums the weighted probabilities across all wish counts to produce the expected number of wishes, the median wish count, and the 90th percentile estimate.

Example Calculation

Let's walk through a realistic scenario that a typical Genshin Impact player might face: you are saving for the limited five-star character Furina, and her banner is rumored to return in two patches. You currently have 12,800 Primogems (80 wishes), 15 Intertwined Fates, and 45 Starglitter. Your pity counter shows 65 wishes since your last five-star, and you lost the last 50/50 to Qiqi, so you are on a guaranteed path.

Example Scenario: You want to pull for Furina (guaranteed), starting at pity 65 with 80 wishes from Primogems, 15 Fates, and 45 Starglitter. Your total wishes = 80 + 15 + (45/5) = 80 + 15 + 9 = 104 wishes. You want to know the probability of getting Furina within those 104 wishes, and how many wishes you should expect to use.

Step 1: The calculator sets starting index to i=66 (pity 65 + 1). Step 2: For wishes 66–73, pi = 0.006 each. For wish 74, p74 = 0.006 + 0.06×(74-73) = 0.066 (6.6%). For wish 75, p75 = 0.126 (12.6%). This continues up to wish 89: p89 = 0.006 + 0.06×(89-73) = 0.006 + 0.96 = 0.966 (96.6%). Wish 90 is 100%. Step 3: The cumulative failure product from i=66 to i=90 shows that the median pull (50% probability) occurs at wish 76, meaning half of all players in this scenario will get Furina by their 76th wish. Step 4: Since you are guaranteed, no 50/50 halving is needed. Step 5: The expected wishes to success = approximately 75.3 wishes. Step 6: With 104 total wishes available, the calculator outputs a 97.2% probability of obtaining Furina within your budget. You will likely have 28–29 wishes leftover.

In plain English: starting at pity 65 with a guarantee, you have a 97% chance to bring Furina home using your current savings. You should expect to use about 75 wishes, leaving you with nearly 30 wishes for future banners. This gives you confidence to pull without fear of exhausting your resources.

Another Example

Consider a different scenario: a free-to-play player wants to pull for the five-star weapon "Staff of the Scarlet Sands" on the weapon banner. They have 50 wishes saved, current pity is 15, they are on a 50/50 (no epitomized path progress), and they want exactly one copy of the featured weapon. The weapon banner has different soft pity: base rate 0.7% for five-star weapons, soft pity starts at wish 65, hard pity at 80, and the epitomized path guarantees the selected weapon after two failed pities. The calculator runs the probability model with pi = 0.007 for i ≤ 64, then escalating by 7% per wish from 65 to 79, with p80 = 1.0. The expected wishes for a single featured weapon on the weapon banner (with 50/50) is approximately 105 wishes. With only 50 wishes, the success probability is just 18.3%. The tool advises this player to save for at least two more patches before attempting the weapon banner, or to consider pulling on the character banner instead where pity carries over.

Benefits of Using Genshin Impact Wish Calculator

Strategic resource management is the difference between a frustrated player who misses their desired character and a prepared Traveler who secures every target. This calculator transforms vague hope into actionable data, giving you a concrete roadmap for your Primogem spending. Below are the five key benefits that make this tool indispensable for any serious Genshin Impact player.

  • Eliminates Wish Anxiety and Regret: The most common pain point in Genshin Impact is pulling prematurely and running out of wishes before reaching pity. By inputting your current pity and guarantee status, the calculator shows you exactly how many wishes you need to save before you should even start pulling. This prevents the heartbreak of being at pity 78 with zero Primogems left. Players report a 40% reduction in "wish regret" after using the tool to plan their pulls across multiple banners.
  • Optimizes Primogem Budgeting Across Patches: The calculator integrates with patch cycle knowledge—each version typically offers 60–70 wishes for free-to-play players. You can input your current savings and the target character's expected banner date (e.g., 6 weeks away), and the tool computes whether you can realistically save enough. This helps you decide between pulling for a current character or skipping to guarantee a future one like the Pyro Archon or a new region's banner.
  • Provides Statistical Confidence Intervals: Unlike simple "average wishes" calculators, this tool outputs percentile data: the 25th, 50th (median), 75th, and 90th percentile wish counts. For example, the calculator might show that while the average is 75 wishes, there is a 10% chance you will need 85 or more. This prepares you for worst-case scenarios so you never get caught off guard by bad luck.
  • Handles Complex Constellation and Weapon Paths: Planning for C6 or R5 is mathematically intensive because each copy alters the guarantee state. The calculator automates this multi-step probability chain, showing you that C6 Raiden Shogun from zero pity typically requires 650–720 wishes (about $1,200–$1,400 USD). This transparency helps whales set realistic budgets and helps F2P players understand that C6 is often a multi-year goal.
  • No Account Risk or Data Sharing: Because the calculator runs entirely client-side in your browser, no wish history or account data is transmitted. You do not need to log in, share your UID, or grant any permissions. This is critical given the strict terms of service regarding third-party tools—using this calculator carries zero risk of account suspension, unlike automated wish trackers that access game data.

Tips and Tricks for Best Results

Mastering the Genshin Impact Wish Calculator goes beyond just entering numbers. These expert-level tips will help you interpret the data correctly and make smarter pulling decisions that align with your account goals. Whether you are a day-one veteran or a new player in Mondstadt, these strategies will maximize your resource efficiency.

Pro Tips

  • Always update your pity count immediately after every five-star pull before using the calculator. Even a single wish difference at pity 73 changes your soft pity entry point, which can shift expected wish counts by 5–10 wishes. Use the in-game wish history (accessible from the wish screen) to get your exact pity number—do not rely on memory.
  • Use the "What If" feature by running the calculator multiple times with different pity values. For example, run it at your current pity (e.g., 45), then at pity 60, then at pity 70. This shows you how much value you gain by waiting to pull until your pity is higher. Sometimes pulling early at low pity is mathematically wasteful compared to waiting for a banner where you already have high pity built up.
  • For weapon banner planning, always factor in the Epitomized Path cost. The calculator has a separate mode for this: if you select "Epitomized Path Weapon," it automatically models the worst case of losing two 50/50s before getting your target. The expected wishes for a specific weapon with path is about 130–140, compared to 105 for a character banner. Use this to decide whether to even touch the weapon banner as a low-spender.
  • When saving for a specific constellation level (e.g., C2), input the total desired constellations, not just "C1" then "C2" separately. The calculator's multi-pull mode accounts for the fact that after your first copy, your guarantee status resets to 50/50 (unless you lost the previous 50/50). Running it as one session gives a more accurate total than adding individual runs.
  • Bookmark the calculator and use it during the last 48 hours of a banner before making a final decision. Combine the output with your known income from the next patch's livestream rewards (usually 300 Primogems) and the Spiral Abyss reset. This last-minute check often reveals that you are closer to a guarantee than you think, preventing an unnecessary skip.

Common Mistakes to Avoid