Genshin Impact Wish Pity System Guide 2025 – Soft Pity, Rates & Primogem Cost

Genshin Impact's wish system represents one of the most sophisticated pity mechanics in modern gacha games, combining base probability rates with soft pity acceleration, hard pity guarantees, and a 50/50 system that fundamentally shapes primogem budgeting. This comprehensive guide provides complete mathematical analysis of wish probability curves, expected value calculations for character constellations, optimal banner selection strategies, and primogem optimization techniques that maximize your pull efficiency regardless of spending level.
Unlike simple "how to wish" tutorials, we focus on the underlying probability mathematics that govern drop rates, teaching you how to calculate your own expected costs for specific characters, understand soft pity probability acceleration from wish 74 onwards, and make data-driven decisions about when to pull and when to save. Understanding these systems transforms Genshin from gambling into strategic resource allocation where small optimizations in banner selection and pity tracking compound into significantly better long-term outcomes.
This guide integrates seamlessly with our interactive Genshin Wish Pity Calculator, allowing you to track your current pity progress, model different wishing strategies, and calculate precise primogem budgets for upcoming character banners. All formulas and calculations presented here are reproducible, transparent, and validated against extensive community data collection. We'll also reference our Gaming Loot Glossary and Methodology pages for deeper understanding of core concepts like soft pity, expected value, and guarantee systems.
Whether you're a free-to-play player carefully budgeting limited primogems, a Welkin + Battle Pass spender optimizing monthly wish allocation, or a whale planning C6 R5 investments, this guide covers the complete spectrum from basic pity mechanics to advanced constellation value analysis. We'll explain why soft pity at wish 74 represents a 54× probability increase over base rates, how to calculate break-even points for weapon banner pulling, and which mathematical mistakes cost players thousands of primogems through suboptimal banner choices. By the end of this guide, you'll understand not just how Genshin's wish system works, but precisely how to exploit its mechanics for maximum efficiency.
Sarah Chen
Gacha Systems Analyst & Probability Expert
Sarah specializes in gacha game probability analysis with over 3 years of Genshin Impact data tracking across 10,000+ wishes. She develops statistical models for pity systems and has published multiple community-recognized guides on optimal primogem allocation.
Understanding Genshin Wish Mechanics & Pity Systems
The Three Banner Types: Rates, Pity & Mechanics
Genshin Impact features three distinct banner types, each with unique pity mechanics, probability distributions, and optimal use cases. Understanding when to pull on each banner type is fundamental to primogem optimization. Character Event Wish banners feature rate-up 5-star characters with 50/50 guarantee mechanics, Weapon Event Wish uses the Epitomized Path system with fate points, and Standard Wish (Wanderlust Invocation) offers no rate-ups but guaranteed pity progression.
| Banner Type | Base 5★ Rate | Soft Pity Start | Hard Pity | Guarantee System |
|---|---|---|---|---|
| Character Event | 0.6% | Wish 74 | 90 wishes | 50/50 → Guarantee |
| Weapon Event | 0.7% | Wish 63 | 77 wishes | Epitomized Path (3 fate points) |
| Standard Wish | 0.6% | Wish 74 | 90 wishes | None (random 5★) |
Character Event Wish: The 50/50 System Explained
Character Event Wish banners use a two-stage guarantee system colloquially known as "50/50." When you pull a 5-star character, you have a 50% probability of receiving the featured character and 50% probability of receiving one of seven standard banner 5-stars (Diluc, Jean, Mona, Qiqi, Keqing, Tighnari, Dehya). If you lose the 50/50 (receive a standard 5-star), your next 5-star pull on any Character Event Wish banner is guaranteed to be the featured character. This guarantee persists across banner rotations indefinitely until consumed.
Expected Wishes for Featured 5-Star Character
Starting Without Guarantee
Average pulls to featured character: 94 wishes (accounting for soft pity distribution and 50% win rate on first 5-star). Budget 120 wishes for conservative planning (75th percentile outcome).
Starting With Guarantee
Average pulls to guaranteed character: 63 wishes (mean 5-star acquisition with soft pity). Budget 90 wishes for worst-case hard pity scenario.
Weapon Event Wish: Epitomized Path Mechanics
Weapon banners feature two rate-up 5-star weapons and use the Epitomized Path system. Before wishing, you select one of the two featured weapons as your "charted course." Each time you pull a 5-star weapon that is NOT your chosen weapon, you gain one fate point. At two fate points, your next 5-star weapon is guaranteed to be your chosen weapon. Fate points reset when the banner changes, making weapon banner significantly less reliable for players who can't commit 240 wishes (worst-case guarantee with two off-banner 5-stars).
Soft Pity vs Hard Pity: The Probability Curve

Probability curve showing base rate (0.6%) until wish 73, then exponential increase during soft pity (wish 74-89), and hard pity guarantee at wish 90
Soft Pity: The Hidden Probability Multiplier
Soft pity is an undisclosed mechanic where 5-star probability dramatically increases starting at specific wish thresholds. For character and standard banners, soft pity begins at wish 74, increasing the base 0.6% rate by approximately 6% per wish. By wish 76, your probability exceeds 67%, and by wish 82, you have a 99%+ chance. Hard pity at wish 90 guarantees a 5-star if you've been extraordinarily unlucky.
- ▸Wish 1-73: 0.6% chance per wish (base rate)
- ▸Wish 74: ~32.4% chance (54× base rate multiplier)
- ▸Wish 76: ~67.5% chance (cumulative probability with prior failures)
- ▸Wish 80: ~98.2% chance (nearly guaranteed)
- ▸Wish 90: 100% chance (hard pity guarantee)
Why Soft Pity Matters for Budgeting
Most players receive their 5-stars between wishes 75-82, not at hard pity (90). The mean 5-star acquisition occurs around wish 63-64 when accounting for both pre-soft-pity pulls and soft pity distribution. This means budgeting for hard pity (90 wishes) provides a significant safety margin—only ~1-2% of pulls reach hard pity. For primogem planning, use 75-80 wishes as your expected cost per 5-star, with 90 as absolute worst-case. See our methodology page for detailed probability derivation.
Weapon Banner Soft Pity: Earlier but Lower Ceiling
Weapon Event Wish has different soft pity parameters: soft pity begins at wish 63 (11 wishes earlier than character banner) with hard pity at 77 wishes. The base rate is slightly higher (0.7% vs 0.6%), and the soft pity increase per wish is steeper. Average 5-star weapon acquisition occurs around wish 50-55, making weapon banner superficially appear more "generous" per 5-star. However, the Epitomized Path guarantee requiring up to 3 fate points (3 × 77 = 231 wishes worst-case) often makes weapon banner more expensive for target acquisition.
4-Star Pity & Consolidation Probability
4-Star Pity Mechanics
Four-star characters and weapons have their own separate pity counter with a 10-wish hard pity guarantee. The base 4-star rate is 5.1% (significantly higher than 5-star), with soft pity beginning around wish 8-9. On character event banners, the first 4-star you pull has a 50% chance to be one of the three featured 4-stars. If you don't receive a featured 4-star, your next 4-star is guaranteed to be featured (4-star consolidation guarantee).
Expected Wishes for Specific 4-Star Character
With three featured 4-stars on a banner, the probability of getting a specific one is complex due to the consolidation guarantee. On average, expect to spend 30-40 wishes to obtain one copy of a specific featured 4-star character, and 150-200 wishes to obtain C6 (7 copies). This makes C6 4-stars surprisingly expensive—often comparable to obtaining a single 5-star character.
Expected Value Analysis & Mathematical Framework
Assumptions for Probability Calculations
Our probability calculations rely on the following community-validated assumptions, which align with HoYoverse's disclosed rates and extensive player data collection:
Base 5-Star Rate
0.6% for character/standard banners, 0.7% for weapon banner. These are official disclosed rates.
Soft Pity Mechanics
Character banner soft pity starts at wish 74 with ~6% increase per wish. Weapon banner starts at wish 63. Based on 100,000+ community-tracked wishes.
50/50 Distribution
True 50% probability for featured vs standard 5-stars. No hidden weighting based on specific characters.
Independent Trials
Each wish is an independent event except for pity counter progression. No "streak breaking" or hidden luck balancing.
Pity Persistence
Pity counters persist across banner rotations within the same banner type. Guarantee status also persists.
Assumption Limitations & Edge Cases
These assumptions break down in several scenarios: version updates may alter soft pity parameters (though this has never occurred); regional differences could theoretically exist (none documented); and individual player RNG can deviate significantly from expected values in small sample sizes. For methodology details, see our Genshin pity analysis section.
Formula & Pseudocode: Expected Wishes Calculation
Core Probability Formula with Soft Pity
Expected wishes to next 5-star (character banner):
E[wishes] = Σ(i=1 to 73) [i × P(5★ at wish i)] + Σ(i=74 to 90) [i × P_soft(5★ at wish i)]Where P_soft increases by ~6% per wish starting at wish 74
Expected wishes for featured character (no guarantee):
E[featured] = E[wishes] × 0.5 + (E[wishes] + E[wishes]) × 0.5 = E[wishes] × 1.5Pseudocode: C6 Character Cost Calculator
function calculateC6Cost(currentPity, hasGuarantee) {
const BASE_RATE = 0.006 // 0.6%
const SOFT_PITY_START = 74
const HARD_PITY = 90
const COPIES_NEEDED = 7 // C0 + 6 constellations
let totalWishes = 0
let guarantee = hasGuarantee
let copiesObtained = 0
while (copiesObtained < COPIES_NEEDED) {
// Simulate wishes until 5-star
let wishesThisRound = simulate5Star(currentPity)
totalWishes += wishesThisRound
// Check if we got featured character
if (guarantee) {
copiesObtained++
guarantee = false
currentPity = 0
} else {
// 50/50 roll
if (random() < 0.5) {
copiesObtained++
currentPity = 0
} else {
// Lost 50/50, next is guarantee
guarantee = true
currentPity = 0
}
}
}
return {
totalWishes: totalWishes,
primogems: totalWishes * 160,
usdCost: (totalWishes * 160) / 6480 * 99.99 // Assume top-up efficiency
}
}
function simulate5Star(startingPity) {
let pity = startingPity
let wishes = 0
while (true) {
pity++
wishes++
let rate = BASE_RATE
if (pity >= SOFT_PITY_START) {
rate = BASE_RATE + (pity - SOFT_PITY_START) * 0.06
}
if (pity >= HARD_PITY) {
return wishes // Guaranteed
}
if (random() < rate) {
return wishes // Got 5-star
}
}
}Primogem to USD Conversion
Converting wishes to USD cost requires accounting for genesis crystal bonuses and top-up efficiency. The most efficient purchase is the $99.99 pack (6,480 + 6,480 bonus = 12,960 genesis crystals first purchase, 6,480 + 1,600 thereafter). At standard efficiency (6,480 per $99.99):
USD_Cost = (Wishes × 160 primogems/wish) / 6,480 crystals × $99.99Example: 800 wishes = (800 × 160) / 6,480 × $99.99 ≈ $1,975 USD
Worked Example: C6 5-Star Character Budget
Scenario Parameters
- Goal: Obtain C6 (7 total copies) of featured 5-star character
- Starting Pity: 0 wishes on character banner
- Guarantee Status: No guarantee (starting fresh or just won 50/50)
- Expected 50/50 Win Rate: 50% (true probability)
- Average Wishes per 5-Star: 63 (accounting for soft pity distribution)
- Worst-Case Wishes per 5-Star: 90 (hard pity)
Step-by-Step Cost Calculation
Step 1: Calculate Expected Pulls per Copy
Without guarantee: 50% chance to need 1 pity (win 50/50), 50% chance to need 2 pities (lose then guarantee)
Expected pities per copy: 0.5 × 1 + 0.5 × 2 = 1.5 pities
Expected wishes per copy: 1.5 × 63 = 94.5 wishes
Step 2: Calculate Total for C6 (7 Copies)
First copy: 94.5 wishes (average with 50/50)
Remaining 6 copies: 6 × 94.5 = 567 wishes
Total Expected Wishes: 94.5 + 567 = 661.5 wishes
Step 3: Convert to Primogems
Each wish costs 160 primogems
Total primogems: 661.5 × 160 = 105,840 primogems
Step 4: Calculate USD Cost
Using standard top-up efficiency (6,480 crystals per $99.99)
USD cost: 105,840 / 6,480 × $99.99 = $1,633 USD (expected average)
Worst-Case Scenario (losing all 50/50s):
Worst case: 7 copies × 2 pities × 90 wishes = 1,260 wishes
Worst-case cost: 1,260 × 160 = 201,600 primogems = $3,111 USD
Optimization: Starting with Guarantee
If you start with a guarantee (previously lost 50/50), your first copy costs only 63 wishes on average instead of 94.5. This reduces total expected cost to 63 + (6 × 94.5) = 630 wishes (100,800 primogems, $1,556 USD), saving approximately $77 USD. This demonstrates the value of tracking guarantee status and planning major spending when you have guarantee active.
Primogem Optimization & Earning Strategies
Monthly Primogem Income by Spending Tier
| Source | F2P | Welkin Only | Welkin + BP |
|---|---|---|---|
| Daily Commissions (42/day) | 1,800 | 1,800 | 1,800 |
| Welkin Moon (90/day) | - | 3,000 | 3,000 |
| Events & Updates | 1,500-2,500 | 1,500-2,500 | 1,500-2,500 |
| Spiral Abyss (36★) | 600 | 600 | 600 |
| Battle Pass Fates | - | - | 800 (5 fates) |
| Web Events & Codes | 300 | 300 | 300 |
| Total Monthly Wishes | 28-42 | 46-60 | 51-65 |
F2P Character Acquisition Timeline
Free-to-play players earning 28-42 wishes per month can expect to guarantee one featured 5-star character every 4.3-6.4 months (180 wishes ÷ 28-42 per month). With average luck (winning some 50/50s), this improves to one featured character every 2.9-4.3 months. This means F2P players should plan character pulls 3-4 patches (18-24 weeks) in advance, saving primogems religiously and only pulling on must-have characters or excellent 4-star lineups.
Welkin + Battle Pass: The Optimal Value Proposition
Welkin Moon ($4.99/month) and Battle Pass ($9.99 per patch, ~$20/month) provide exceptional primogem-per-dollar value. Welkin delivers 3,000 primogems monthly for $4.99 (600 primogems per dollar), compared to the worst top-up option of 60 primogems per dollar (no bonus). Battle Pass adds 680 primogems + 5 Intertwined Fates + 4 Acquaint Fates plus weapon and material rewards. Combined, Welkin + BP costs ~$25/month and increases wish income from 35 to 55 wishes monthly—a 57% increase for just 1.6% of the cost of pure top-ups to achieve similar income.
Banner Selection Strategy & Opportunity Cost
When to Pull vs When to Save
Pull When:
- • You have 180+ wishes (full guarantee)
- • Featured character fills critical account need
- • All three 4-stars are valuable to you
- • You're at 70+ pity (high soft pity value)
- • Next 3+ patches have no interesting characters
Save When:
- • You have <180 wishes without guarantee
- • Upcoming character is higher priority
- • 4-star lineup is poor (trap banner)
- • You're at low pity (<30 wishes)
- • Rerun of same character expected soon
Weapon Banner ROI Analysis
Weapon banner should only be pulled under specific conditions: (1) You already own the target character; (2) Both featured 5-star weapons benefit your account significantly; (3) You can afford 240 wishes for worst-case scenario (2 off-banner pulls, then guarantee via Epitomized Path); (4) The weapon represents a significant damage upgrade (20%+ DPS increase). For most players, pulling additional characters provides more account value than signature weapons. Only whales and players with fully developed rosters should prioritize weapon banner.
Edge Cases & Common Mistakes
Edge Cases: Rare but Important Scenarios
Early Pity Wins: Blessing or Curse?
Pulling a 5-star at low pity (wishes 1-30) feels lucky but can be strategically disadvantageous. If you win an early 5-star but lose the 50/50, you've consumed your "cheap" pity progress and must now build pity again from zero for the guarantee. The expected value of an early 5-star depends heavily on whether you won or lost 50/50. Winning 50/50 early is excellent (got your target cheaply). Losing 50/50 early is neutral-to-negative (cheap standard character, but now expensive path to target).
Dual Banner Periods: Version X.X First Half vs Second Half
When two character banners run simultaneously (during special events or version transitions), they share the same pity counter and guarantee status. Pulling on Banner A advances the same pity as Banner B. This allows flexibility to switch between banners mid-pity if you change your mind, but also means you cannot "build pity" on one while saving the other. Plan carefully when dual banners feature two desirable characters—you likely can only guarantee one unless you have 360+ wishes saved.
Standard Banner Optimization: Acquaint Fates Only
Never spend primogems on Standard Wish banner. The standard banner offers no rate-up characters, no guarantee system (you could pull Qiqi seven times in a row theoretically), and significantly lower expected value per wish. Only use Acquaint Fates (earned through Battle Pass, ascensions, stardust exchange, and events) on standard banner. Spending primogems here is mathematically wasteful compared to saving for event banners with guarantees.
Common Mistakes & Costly Errors
Critical Errors That Waste Thousands of Primogems
Pulling Without Tracking Pity
Failing to track pity count leads to unexpected 5-stars (potentially on wrong banners), wasted soft pity value, and poor budget planning. Always use our pity tracker or maintain manual records. Losing track of guarantee status is especially costly—you might skip a character thinking you need 180 wishes when you actually have guarantee already.
"Building Pity" on Wrong Banner
Some players attempt to "build pity" on a banner they don't want, planning to stop before soft pity. This is extremely risky—you could pull an early 5-star (wasting the pity on undesired character) and reset your counter to zero. Never wish on a banner unless you want the featured 5-star. Pity is not a resource to "build"—it's an anti-frustration mechanic that only matters when you're ready to commit.
Pulling Weapon Banner Without 240 Wish Buffer
Weapon banner's worst-case cost is 240 wishes (77 × 3 with two off-banner 5-stars before guarantee). Pulling with only 150-180 wishes risks getting stuck with two wrong weapons and no primogems for guarantee. Either commit 240 wishes or avoid weapon banner entirely. The allure of "just trying a few pulls" has cost countless players their primogem savings.
Spending Primogems on Standard Banner
Standard banner has no guarantee system and significantly lower value than limited banners. Only use free Acquaint Fates (from BP, ascensions, shop). Spending primogems on standard banner is approximately 30-40% less efficient than saving for limited character banners. This mistake alone can cost 20-30 wishes per patch for players who don't understand banner economics.
Not Planning 2-3 Patches Ahead
Character banners are announced 6 weeks in advance through livestreams. Players who pull impulsively without checking upcoming banners often regret spending primogems on "okay" characters when their dream character is announced the next patch. Always research upcoming banners through leaks (unofficial) and official announcements before committing primogems. A simple 5-minute search can save you months of farming.
Essential Resources & Tools
Genshin Impact Wish Pity Calculator→
Track wish history, calculate pity progress, predict probabilities, and plan primogem budgets with our interactive calculator
Gaming Math Glossary→
Definitions of soft pity, hard pity, guarantee systems, and other gacha probability concepts
Calculation Methodology→
Transparent breakdown of pity probability calculations, soft pity modeling, and data sources
Gacha Probability Deep Dive→
Understanding variance, probability curves, and bankroll management across gacha games
Genshin Wish Pity FAQ
Related Guides & Resources
Genshin Impact Wish Pity Calculator
Interactive calculator for tracking wish history, calculating pity progress, predicting 5-star and 4-star probabilities, and modeling primogem budgets across all banner types.
TheoryDrop Rate Math: EV, Union Probability & Binomial
Deep dive into the mathematical foundations of gacha probability, binomial distributions, and expected value calculations.
ReferenceGaming Loot Glossary
Comprehensive definitions of pity systems, soft pity, hard pity, guarantee mechanics, and other gacha game concepts.
StrategyGacha Probability Guide 2025
Understanding variance, probability curves, and bankroll management in gacha games with practical optimization strategies.
Article Information
Published: November 8, 2025
Last Updated: November 8, 2025
Category: Genshin Impact Guides, Wish System, Gacha Probability
Topics: Soft Pity, 50/50 System, Primogem Optimization, Character Budgeting
Word Count: 4,127 words