The Comprehensive Guide
Genshin Impact Pull Statistics: The Mathematical Guide to Banner Success
In the high-stakes ecosystem of **Genshin Impact**, Primogems are the most valuable currency, and the "Gacha" banner is the marketplace of luck. However, hidden beneath the shiny "Invoke" buttons lies a complex system of **Soft Pity**, **Hard Pity**, and **50/50 probabilities**. Our **Genshin Impact Banner Probability Calculator** is designed to demystify these systems, providing you with a rigorous statistical analysis of your chances. In this 1,800-word deep dive, we explore why "Pull 74" is the most important number in the game, the math behind the weapon banner "Fate Points," and how to manage your resources like a pro.
1. The Foundation: What is "Pity" in Genshin Impact?
Unlike many other gacha games, Genshin Impact provides a "Safety Net" for its players. This is known as **Pity**. It ensures that no matter how unlucky you are, you will eventually receive a 5-star item. To calculate your odds, our tool looks at three distinct phases of your pull history.
Phase 1: The "Base Rate" (Pulls 1 through 73)
From your first pull until your 73rd, the probability of getting a 5-star is fixed at **0.6%**. At this stage, your chances are incredibly low. Most players search for "Pulling an early 5-star," but statistically, a character at pull 10 is as likely as a character at pull 60. (Probability Calculation: 0.006 per individual pull).
Phase 2: The "Soft Pity" Zone (Pulls 74 through 89)
This is where the magic happens. Community data (including millions of pulls tracked by paimon.moe) shows that at **Pull 74**, your probability jumps from 0.6% to approximately **6.6%**, and increases by roughly **6% for every pull thereafter**. - **The Peak:** At pull 77 or 78, your individual probability is over **30%**. - **The Success Rate:** Roughly 90% of all 5-star characters are pulled within this narrow "Soft Pity" window.
Phase 3: The "Hard Pity" (Pull 90)
If you fail every single random roll until pull 89, your 90th pull has a guaranteed **100% chance** of being a 5-star. While "Pulling to 90" is a frequent fear, it is statistically so rare that it only happens in roughly 1 out of every 14 million pull sequences. If you think you hit 90, you likely miscounted!
2. Managing the "50/50" Elephant in the Room
Hitting a 5-star is only half the battle. The **Genshin Impact 50/50 Calculator** must account for the featured character rule. - **The 50/50 Split:** When a 5-star appears, there is a **50.5% chance** it is the featured event character and a **49.5% chance** it is one of the Standard Banner characters (**Diluc, Jean, Mona, Qiqi, Keqing, Tighnari, or Dehya**). - **The "Guaranteed" Status:** If you lose a 50/50, your next 5-star is 100% guaranteed to be the featured character. This status carries over forever—it never expires even if the patch ends.
3. Probability Distribution: What are your "Real" Odds?
Most players ask: "I have 40 pulls, what are my chances?" This table provides the cumulative probability of hitting a 5-star based on your current total savings. This is the core logic of our **Genshin Banner Calculator**.
Table A: Cumulative Probability of hitting a 5-Star
| Total Pulls (Saved) | Chance of ANY 5-Star | Chance of Featured (on 50/50) | Chance of Featured (on Guaranteed) |
|---|---|---|---|
| 10 Pulls | 5.8% | 2.9% | 5.8% |
| 40 Pulls | 21.4% | 10.8% | 21.4% |
| 70 Pulls | 34.4% | 17.4% | 34.4% |
| 80 Pulls | 91.2% | 45.6% | 91.2% |
| 160 Pulls | 99.9% | 97.8% | 100.0% |
4. The Weapon Banner: High Risk, Early Pity
The weapon banner in Genshin Impact follows different rules. It is often called a "Trap" for F2P players, and for good reason. - **Lower Pity:** Hard pity is at **80 pulls** (not 90). - **Earlier Soft Pity:** Soft pity begins at **63 pulls** (not 74). - **The "Epitomized Path" Rule:** You can lose the "Guaranteed" featured weapon twice. You must collect 2 **Fate Points**. The 3rd 5-star you pull is then guaranteed to be your chosen weapon. - **The Cost:** To guarantee a specific weapon, you need a maximum of **240 pulls** (though statistically, it usually takes ~210). Crucial Warning: Fate Points **RESET** every banner. If you have 2 Fate Points and the banner ends, you lose them. Do not wish on weapons unless you can go all the way!
5. Standard vs. Limited: Where should you spend Primogems?
One of the top searches on Google is "Spend Primogems on Standard or Event Banner?" - **The Advice:** NEVER spend Primogems on the Standard Banner (Wanderlust Invocation). - **The Reasoning:** You can get Standard pulls (Blue Fates) for "Free" through Battle Pass, character ascensions, and Paimon's Bargains. Your Primogems should only buy **Intertwined Fates** (Pink/Purple) for limited characters who may not return for over a year.
6. Calculating the "Cost of a C6" (Constellation 6)
For high-spends or very dedicated savers, the C6 goal is the ultimate prize. - **Total Characters Needed:** 7 copies (1 base + 6 constellations). - **The Mathematical Reality:** On average, it takes **650 to 750 pulls** to C6 a character. - **The Worst Case Scenario:** Losing every 50/50 and going to hard pity would cost **1,260 pulls** (approx. 200,000 Primogems). Our **Probability Calculator** helps you see where on this curve you are likely to fall.
7. Starglitter and Stardust: The "Rebate" System
Every pull gives you a return on investment. - **Masterless Stardust:** Used to buy 5 Intertwined Fates and 5 Acquaint Fates every month. **Do not miss these!** - **Masterless Starglitter:** Used to buy specific 4-star characters (like Kaeya or Bennett) from the monthly shop, or converted back into Fates. - **The Calculation:** For every 100 pulls, you will receive roughly **11-13 Fates back** in the form of Starglitter and Stardust. Our pull calculator factors this "rebate" into your total savings goal.
8. Banner Comparison: Character Event 1 vs. 2
| Banner Feature Category | Character Event Banners (1 & 2) | Weapon Event Banner | Standard Banner |
|---|---|---|---|
| 5-Star Base Rate | 0.6% | 0.7% | 0.6% |
| Soft Pity Start | 74 Pulls | 63 Pulls | 74 Pulls |
| Hard Pity | 90 Pulls | 80 Pulls | 90 Pulls |
| Max Cost to Guarantee | 180 Pulls | 240 Pulls | Never (Random Pool) |
| Shared Pity? | YES (Shared 1 & 2) | NO (Separate) | NO (Separate) |
9. Troubleshooting: why did my pity reset?
If you were at 60 pity and pulled a 5-star, your counter is now back at **0**. - **The Misconception:** "I pulled a 5-star on the Standard Banner, so did my Limited Pity reset?" **No.** - **The Independent Counters:** You have three separate "Invisible" counters: 1. Limited Character Banner (Shared between the two running characters). 2. Limited Weapon Banner. 3. Standard Banner. Pulling a 5-star on one **never** affects the others.
10. FAQ: Common Banner & Probability Queries solved
Should I pull on the Weapon Banner as an F2P?
Statistically, no. Your Primogems are better spent on new characters who open up new playstyles. Only pull on the weapon banner if you are a "Late Game" player and both featured weapons are valuable to you.
What is "Pity Building"?
Many players wish for a 4-star character on a banner where they DON'T want the 5-star. This is called "Building Pity." Strategy: Do not do this. You have a 0.6% chance per pull to get a 5-star you hate, resetting your pity and wasting your guarantee.
How does the "Fate Points" carry-over work?
It doesn't. While your "Pity Count" (number of pulls) carries over on the weapon banner, the **Fate Points** (which guarantee the specific choice) reset to 0. This is the biggest way players lose resources.
11. Conclusion: Strategy over Impulse
The gacha system in Genshin Impact is designed to play on human emotions—excitement, anxiety, and the fear of missing out (FOMO). By using our **Genshin Impact Banner Probability Calculator**, you move from an emotional state to a strategic one. You learn to save when the odds are low and strike when the "Soft Pity" window opens. Teyvat is a world of exploration, but your inventory is built on math. Plan your pulls, respect the pity curve, and may your next golden meteor bring exactly what you were waiting for. See you at the Banner, Traveler!
Planning for a big pull? Calculate your total Mora needs with our Mora Cost Calculator or see how many Level Up books you need with the EXP Book Tracker!