Understanding the 5-star rate and pity mechanics
Gacha systems use a tiered rarity structure with strict probabilities. A 5-star pull probability typically starts at 0.6% per single roll, but the odds increase sharply once you've spent 75 pulls without a 5-star. This is the 'soft pity' zone, where the rate climbs to around 3% per roll. After 90 pulls without a 5-star, hard pity triggers, guaranteeing one.
The 50-50 system adds a second layer: your first 5-star pull has a 50% chance to be a standard 5-star (non-limited), and a 50% chance to be the featured limited-time character or weapon. If you lose the 50-50, your next 5-star is guaranteed to be the featured item, creating a predictable pity reset.
Why cumulative probability matters to players
New players often miscalculate expected costs by looking only at the base rate. The cumulative graph shows why a 0.6% 5-star rate does not mean you need 166 pulls on average. Pity mechanics front-load your odds: most players hit a 5-star somewhere in the 60-90 pull range, not the tail of a pure geometric distribution. Knowing the cumulative curve helps players budget their free currency and plan whether to roll on a banner or save.