Gacha Pity Calculator
Calculate your probability of pulling a rare character or item by a given number of rolls.
Includes soft and hard pity systems.
Gacha pity is a system that guarantees a rare drop after a certain number of pulls.
Basic probability (no pity):
Chance of getting item in N pulls = 1 − (1 − rate)^N
Soft pity increases the rate gradually after a threshold. For example, in some games the rate increases after 74 pulls.
Hard pity guarantees the item at a fixed number (e.g., 90 pulls).
Example with 0.6% base rate:
- 10 pulls: ~5.8% chance
- 50 pulls: ~26% chance
- 74 pulls: ~36% chance (soft pity starts)
- 90 pulls: 100% (hard pity)
Expected cost = Expected Pulls × Cost per Pull. This helps you budget your in-game currency or real money.