Genshin Weapon Banner Math: Epitomized Path & Pity Guide 2026
The weapon banner (Epitome Invocation) has 80-pull hard pity, soft pity starting at pulls 63–65, and a 0.7% base 5-star rate. No 50/50 — instead a 75/25 featured/standard split. Epitomized Path (updated Version 5.0) now requires just 1 Fate Point to guarantee your chosen weapon. Worst-case: 160 pulls / 25,600 Primogems. Pity carries over between weapon banners; Fate Points don't.
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What Makes Weapon Banner Math Different
The Epitome Invocation runs on a completely different system than character banners. Miss this distinction and you'll blow an entire patch of saved resources.
Key structural differences:
- Two featured 5-star weapons simultaneously (since Version 2.3)
- Hard pity at pull 80, not 90
- 75/25 split instead of a 50/50
- Epitomized Path replaces the guaranteed-featured mechanic
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Core Terminology
- Soft Pity: Pulls 63–65 onward — 5-star rate escalates sharply above base 0.7%
- Hard Pity: Pull 80 — unconditional 5-star guarantee
- Epitomized Path: Target-selection system converting off-target 5-stars into Fate Points
- Fate Points: At 1 (post-Version 5.0), guarantees your selected weapon on the next 5-star pull
- Intertwined Fate: Weapon banner pull currency — 160 Primogems each
Epitomized Path: How It Works
Introduced in Version 2.0, Epitomized Path solved the weapon banner's biggest problem: no reliable path to a specific weapon. Version 5.0 made it dramatically better.
Activation Steps

Complete this before pulling:
- Open the Epitome Invocation banner screen
- Find the Epitomized Path option between the two featured weapons
- Select your target weapon
- Confirm — your target is now locked in
Switching or canceling your selection immediately resets Fate Points to zero. One of the most expensive mistakes you can make mid-banner.
Fate Point Mechanics (Post-Version 5.0)
Before Version 5.0: required 2 Fate Points — worst-case 240 pulls. Now: 1 Fate Point, worst-case 160 pulls.
How accumulation works:
- Start: 0 Fate Points, target selected
- Off-target 5-star pull (the other featured weapon): earn 1 Fate Point
- At 1 Fate Point: next 5-star pull is guaranteed to be your chosen weapon
Critical nuance: only receiving the other featured 5-star weapon earns a Fate Point. Standard 5-stars from the 25% pool award nothing. Many players get this wrong.
What Resets Fate Points
- You obtain your target weapon ✅
- The banner ends ❌
- You cancel or switch your Epitomized Path selection ❌
Fate Points never carry over to the next weapon banner rotation, even if the same weapon reappears.
Soft Pity Rates: The Math That Matters
The weapon banner isn't a flat 0.7% from pull 1 to 80. Knowing the soft pity window is where you gain a real edge.
Pull-by-Pull Breakdown

- Pulls 1–62: Flat 0.7% base rate
- Pulls 63–65+ (soft pity): Rate escalates ~6–7 percentage points per pull
- Pull 80: 100% guaranteed 5-star
Community-verified data shows most players land their 5-star between pulls 65–75, not at exactly pull 80. Hard pity is the safety net, not the expectation.
In practice: If your pity counter is already at 40+ when a banner launches, you're entering soft pity territory much sooner — a significant advantage worth factoring into your pull decision.
Hard Pity: What It Guarantees (And What It Doesn't)
Pull 80 always delivers a 5-star weapon. But it guarantees a 5-star — not your chosen one.
How Hard Pity and Epitomized Path Stack

- Pull 80 → 5-star weapon drops
- 75% chance it's one of the two featured weapons; 25% chance it's a standard 5-star
- If it's not your target → earn 1 Fate Point (if it was the other featured weapon)
- With 1 Fate Point → next 5-star pull (up to another 80 pulls) is guaranteed your target
This stacking produces the 160-pull worst case: 80 pulls to hard pity (wrong weapon, 1 Fate Point earned) + 80 more pulls to hard pity (guaranteed target).
Pro tip: Check your current pity counter in wish history before deciding to pull. Pull 50 vs. pull 0 is a completely different risk profile.

Weapon Banner vs. Character Banner: Critical Differences
75/25 Split vs. 50/50
Character banners: lose the 50/50, next 5-star is guaranteed featured. Weapon banner: no equivalent mechanic.
- 75%: One of the two featured weapons (not necessarily yours)
- 25%: Standard 5-star weapon (no Fate Point awarded)
Epitomized Path is not a replacement for the 50/50 — it's a parallel system that only activates when you receive the other featured weapon specifically.
Pity Carryover Rules
- Weapon banner pity → carries to next weapon banner ✅
- Weapon banner pity → does NOT carry to character/standard banners ❌
- Character banner pity → does NOT carry to weapon banners ❌
- Fate Points → do NOT carry between weapon banner rotations ❌
If you're 60 pulls in when a banner ends, that pity transfers to the next weapon banner — meaningful if you're planning across patches.
Full Primogem Budget: Scenario Planning
- 1 Intertwined Fate: 160 Primogems
- 80 pulls (1 hard pity cycle): 12,800 Primogems
- 160 pulls (worst-case guarantee): 25,600 Primogems
Scenarios
Worst case: Two full hard pity cycles — wrong weapon first (1 Fate Point), target second. 25,600 Primogems.
Average case: Soft pity hit around pull 65–75, landing on your target. Roughly 10,400–12,000 Primogems.
Best case: Early soft pity hit at pull 63–65, correct weapon. Approximately 10,080–10,400 Primogems.
With 1 Fate Point banked: Next 5-star guaranteed to be your target. Soft pity hit around pull 65 adds roughly 10,400 Primogems from that point.
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Should You Pull? A Data-Driven Framework
F2P Players
Worst-case 25,600 Primogems ≈ 10–12 weeks of consistent daily play. Pull only when:
- You already have 1 Fate Point banked from a previous rotation
- Your pity counter is 60+ (deep soft pity)
- The weapon delivers a transformative upgrade for a character you actively use
Dolphin Spenders
Version 5.0's reduction from 2 to 1 Fate Point significantly improved value. 160-pull ceiling vs. the old 240 makes budgeting far more predictable. Prioritize banners where the featured weapon is a signature piece for a character you've already invested in.
Skip If:
- 0 Fate Points and pity under pull 40
- You need Primogems for an upcoming character banner
- Strong free-to-play alternatives exist for your roster
Common Misconceptions Debunked
The weapon banner has a 50/50. False. It's a 75/25 split. Epitomized Path is the guarantee mechanic — and only triggers on the other featured weapon, not any non-target result.
Fate Points reset every version update. Partially false. They reset when the banner ends, not on the version number. If a banner crosses a version boundary, Fate Points persist until that banner closes.
Standard 5-stars earn Fate Points. False. Only the other featured 5-star weapon awards a Fate Point. Standard weapons from the 25% pool contribute nothing to Epitomized Path.
Hard pity guarantees my chosen weapon. False. Hard pity guarantees a 5-star. Your chosen weapon is only guaranteed when you have 1 active Fate Point — and even then, only on your next 5-star pull.
FAQ: Genshin Impact Weapon Banner Pity
When does soft pity start on the weapon banner? Around pulls 63–65. The 5-star rate escalates sharply from there until hard pity at pull 80.
Do Fate Points carry over to the next weapon banner? No. They reset when the banner ends — even if the same weapon is featured again. Your pull pity counter does carry over.
Is there a 50/50 on the weapon banner? No. It's a 75/25 split (featured vs. standard 5-star). Epitomized Path provides the guarantee mechanic instead.
How many Primogems to guarantee a specific weapon? Worst-case: 25,600 Primogems (160 pulls). Average: 10,400–16,000 Primogems depending on soft pity luck and whether your first 5-star is your target.
What happens if I get the wrong featured weapon? You earn 1 Fate Point (if you had a target selected and received the other featured weapon — not a standard weapon). Your next 5-star is then guaranteed to be your chosen weapon.
Can standard 5-star weapons drop on the weapon banner? Yes — 25% chance on any 5-star pull. These don't award Fate Points and don't count toward Epitomized Path progress.
