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Genshin Weapon Banner Probability Calculator

Calculate your odds of pulling a specific 5-star weapon in Genshin Impact. Understand the "Epitomized Path" system, soft pity at 63, and the triple-split probability.

Weapon Banner Status

How It Works

The Genshin Weapon Banner Probability Calculator is designed for travelers aiming to optimize their endgame builds. Unlike character banners, the weapon banner (Epitome Invocation) operates on an 80-pull hard pity and a complex "Fate Point" system. This tool helps you visualize the high-variance nature of weapon pulls, ensuring you don't start a path you can't finish.

Formula Used

P(Success) = 1 - (P(Fail))^n. Soft Pity starts at 63. Hard Pity at 80. Epitomized Path guaranteed at 2 Fate Points.

Real Calculation Examples

  • 1With 65 pulls and 0 Fate Points, your chance of getting the specific featured weapon is approximately 37.5%.
  • 2To guarantee a weapon with 100% certainty, you need a maximum of 240 pulls (80 * 3) including 2 Fate Points.
  • 3Starting at 50 pity with 1 Fate Point increases your cumulative probability of success significantly within the next 30 pulls.

Related Calculators

The Comprehensive Guide

Genshin Weapon Banner Probability Guide: Navigating Epitome Invocation

The weapon banner in Genshin Impact, known as **Epitome Invocation**, is often described by the community as a "trap" for the unprepared. However, for players looking to maximize their character's potential, at least one 5-star signature weapon is usually required. Understanding the **Genshin Weapon Banner Probability** is the difference between a successful account and a depleted resource pool. This guide explains the complex math behind the 80-pity system, the 75/25 split, and the logic of the Epitomized Path.

1. The Core Mechanics: How Weapon Pity Works

Unlike the character banner which has a 90-pull ceiling, the weapon banner is slightly "faster" but significantly more volatile.

  • **Hard Pity:** 80 Pulls.
  • **Soft Pity:** Starts at 63 Pulls. Between pull 1-62, your rate is 0.7%. At 63, it jumps significantly.
  • **Featured Rate (The 75/25):** When you pull a 5-star, there is a 75% chance it is one of the two featured weapons. There is a 25% chance it is from the standard pool (Skyward series, Amos' Bow, etc.).

Table 1: Weapon vs. Character Banner Comparison

Feature Character Banner Weapon Banner
Hard Pity 90 Pulls 80 Pulls
Soft Pity Start 74 Pulls 63 Pulls
Base 5-Star Rate 0.6% 0.7%
Guarantee System 50/50 (2-step) Epitomized Path (3-step)

2. Decoding the Epitomized Path (Fate Points)

In version 2.0, Hoyoverse added the **Epitomized Path** to prevent players from spending thousands of dollars without getting a specific weapon. Our **Weapon Banner Calculator** focuses heavily on this mechanic.

How Fate Points Accumulate:

  1. You "Chart Course" for a specific weapon (e.g., Mistsplitter Reforged).
  2. You pull a 5-star. If it is NOT the Mistsplitter, you gain **1 Fate Point**.
  3. You pull another 5-star. If it is still NOT the Mistsplitter, you gain a **2nd Fate Point**.
  4. The next 5-star you pull is **GUARANTEED** to be the Mistsplitter.

Crucial Warning: If you do not have enough Primogems to reach the 3rd pity, your Fate Points are wasted. They do **NOT** carry over to the next banner rotation. If the banner ends in 2 days and you have 2 Fate Points but 0 gems, you have effectively lost those points forever.

3. Probability Percentages: What Are Your Real Odds?

When you wish on a weapon banner, you aren't just fighting one 50/50; you are fighting a triple-split probability. Specifically, for any single 5-star pull, your odds are:

  • **37.5% chance** of getting Weapon A (Featured)
  • **37.5% chance** of getting Weapon B (Featured)
  • **25% chance** of getting a Standard Weapon

This means you have only a **37.5% chance** of getting exactly what you want on the first try. Statistically, most players will require at least two 5-star pulls to get their desired item.

4. The "Guaranteed Featured" State

If you pull a 5-star and it is a Standard Weapon (the 25% fail), your next 5-star is guaranteed to be one of the two featured weapons. Notice the wording: it is guaranteed to be *one of the two*, not necessarily your charted one. You still have to win a 50/50 between the two featured items unless you have 2 Fate Points.

5. Resource Management: How Many Primogems to Save?

To use our **Genshin Weapon Probability Tool** successfully, you must look at the "Worst Case Scenario." While the average player gets their weapon in ~105 pulls, you must be prepared for the 240-pull trek.

Table 2: Primogem Costs for Weapon Milestones

Milestone Pulls Primogems
Soft Pity (First Chance) 65 10,400
Average Success (1.5 Pities) 110 17,600
Two Fate Points (Likely Success) 160 25,600
Absolute Guarantee (Max Pity x3) 240 38,400

6. Strategic Thinking: Is the Banner Worth It?

Before using your hard-earned gems, ask yourself these three questions:

  1. **Do I need both weapons?** The best weapon banners are those where both featured items are top-tier (e.g., Staff of Homa + Simulacra). If you would be happy with either, the "Fail Rate" drops from 62.5% to 25%.
  2. **Is the 4-star lineup good?** Sometimes the 4-star weapons (like Favonius series or Sacrificial series) are more valuable for your account than a single 5-star.
  3. **Can I reach 240 pulls?** If the answer is no, you are gambling. Gambling in the weapon banner is the fastest way to feel "burnt out" in Genshin Impact.

7. Real-Life Pull Scenarios

Let's look at a common scenario: The "Raiden Signature" run. A player wants Engulfing Lightning. - **Pull 1-65:** They hit a 5-star. It's *Skyward Pride* (Standard). - **Status:** 1 Fate Point. Next 5-star is guaranteed featured (EL or the other one). - **Pull 66-130:** They hit another 5-star. It's the other featured weapon (*Haran Geppaku Futsu*). - **Status:** 2 Fate Points. Next 5-star is 100% *Engulfing Lightning*. - **Pull 131-195:** They finally get the spear. - **Total Cost:** ~190 pulls. This is the "Average-Bad" luck experience.

8. Conclusion: Respect the Weapon Banner

The weapon banner is an endgame luxury. Our **Genshin Weapon Probability Calculator** is here to ensure you go in with your eyes open. Understand that the 0.7% base rate and the Fate Point system are designed to encourage spending. By saving for the 240-pull guarantee and only pulling on banners where both options are viable, you can steer your account toward massive damage numbers without the heartbreak of a failed Epitomized Path.

Frequently Asked Questions

Usage of This Calculator

Real-World Examples

The Staff of Homa Chase

Scenario: Player has 80 pulls and 0 pity. They want the Staff of Homa.

Outcome: 37.5% chance of success. High risk. If they get the other weapon, they are stuck with 1 Fate Point and 0 gems.

Prepared Whaler

Scenario: Player has 35,000 Primogems and wants the featured claymore.

Outcome: 100% guarantee. Even with the worst possible luck (80+80+80), they have enough for the Epitomized Path.

The Soft Pity Sniper

Scenario: Player is at 60 pity and has 10 pulls.

Outcome: High chance of a 5-star result. However, they only have a ~37.5% chance of getting the specific one they want.

Summary

Master the weapon banner with our probability calculator. Track Fate Points, calculate soft pity at 63, and prepare for the 37.5% triple-split before you pull.