Open Gaming Forensic Lab

Case file: What One Limited 5★ Really Costs: Genshin vs Star Rail vs ZZZ vs Wuthering Waves (1,000,000 Simulated Players)

Case file · published 2026-10-18

The banner says 0.6%. The game guarantees a 5-star by pull 90. So what does one limited character actually cost? We rebuilt the pull systems of Genshin Impact, Honkai: Star Rail, Zenless Zone Zero and Wuthering Waves from their officially published rates, checked the model against the developers' own consolidated numbers, and ran one million simulated players through each.

Finding. Starting from zero pity and paying cash at the best-value pack, the typical player spends about $195 for one featured 5-star in the HoYoverse games and about $180 in Wuthering Waves. One player in ten spends roughly double. The price isn't set by the 0.6% rate. It's set by soft pity and the 50/50.

Method

Each simulated player starts with zero pity and no guarantee and pulls until they get the featured 5★. A pull's chance of a 5★ follows the game's rate curve: the official base rate, a community-measured soft-pity climb, and the official hard pity. When a 5★ drops it is the featured unit with the game's featured share; otherwise the next 5★ is guaranteed. 1,000,000 players per game, random seed 20261018.

Inputs and where each number comes from

GameParameterValueStatusSource
Genshin ImpactBase 5★ rate0.600%officialsource
Genshin ImpactHard pity90officialsame banner details
Genshin ImpactSoft pity starts74communitysource
Genshin ImpactSoft pity step6.000%communitysource
Genshin ImpactFeatured share55.000%officialsource
Genshin ImpactUSD per pull$2.47derivedsource
Honkai: Star RailBase 5★ rate0.600%officialsource
Honkai: Star RailHard pity90officialsame banner details
Honkai: Star RailSoft pity starts74communitysource
Honkai: Star RailSoft pity step6.000%communitysource
Honkai: Star RailFeatured share56.250%derivedbanner details
Honkai: Star RailUSD per pull$2.47derivedsource
Zenless Zone ZeroBase 5★ rate0.600%officialsource
Zenless Zone ZeroHard pity90officialsame banner details
Zenless Zone ZeroSoft pity starts74communitysource
Zenless Zone ZeroSoft pity step6.000%communitysource
Zenless Zone ZeroFeatured share50.000%officialbanner details
Zenless Zone ZeroUSD per pull$2.47derivedsource
Wuthering WavesBase 5★ rate0.800%officialsource
Wuthering WavesHard pity80officialsource
Wuthering WavesSoft pity schedule[[66, 70, 0.04], [71, 75, 0.08], [76, 78, 0.1]]communitysource
Wuthering WavesFeatured share50.000%officialsource
Wuthering WavesUSD per pull$2.47derivedsource

Does the model match the official numbers?

GameModel 5★ rateOfficialModel featured rateOfficial
Genshin Impact1.605%1.600%1.107%1.103%
Honkai: Star Rail1.605%1.600%1.117%1.113%
Zenless Zone Zero1.605%1.600%1.070%1.067%
Wuthering Waves1.848%1.800%1.232%not published

Results: pulls for one featured 5★

Game10%Median90%99%MeanMedian $90% $
Genshin Impact317915516190.37$195$383
Honkai: Star Rail317915516189.53$195$383
Zenless Zone Zero348015516193.45$198$383
Wuthering Waves267314014781.12$180$346

Dollar figures use $99.99 for 6,480 premium currency (App Store base amount, no bonus) at 160 per pull. Real spending is usually lower because players earn free currency.

Charts

cost_compare
cumulative
dist_genshin
dist_hsr
dist_wuwa
dist_zzz
start_states_genshin

Download the code and data

Limitations

  • Soft-pity curves are community-measured, not published by the developers.
  • Genshin's Capturing Radiance is modelled as a flat 55% featured share (the official consolidated figure); its hidden counter is not public.
  • Wuthering Waves' soft-pity curve was estimated from beta testing.

Found an error? Email [email protected].