Genshin Impact’s banner is not a flat-rate gacha — a soft-pity ramp and the 50/50 make your real odds very different from the 0.6 percent base rate. This calculator models the actual per-pull rates plus the guarantee system to tell you the chance of landing the featured character within your pull budget.
How it works
Per-pull 5-star chance follows the real ramp, and the cumulative odds multiply the miss chances:
rate(pull) = pull ≤ 73 ? 0.006 : min(0.006 + 0.06×(pull − 73), 1)
P(≥1 5★) = 1 − Π over your N pulls of (1 − rate(currentPity + i))
P(featured) = guaranteed ? P(≥1 5★)
: combine 50/50 + guaranteed-next-5★ paths
Hard pity at pull 90 forces a 5-star, which the ramp reaches automatically.
Example and tips
Starting at pity 70 with 30 pulls and no guarantee, you are almost certain to hit a 5-star because the soft-pity ramp kicks in within a few pulls, but the featured odds are lower because of the 50/50 — losing it still leaves you guaranteed next time. Always check your pity before pulling so you know how close you are to soft pity.