For the Narita Brian rate-up
Uma Musume: Pretty Derby summon calculator
A rate-up pull gives the featured character 0.75% of the time and any 3★ 3%. Every 10th pull is at least a 2★, which leaves those odds where they are. Each pull adds 1 mileage, and 200 mileage buys the featured character outright.
Your odds
- Pulls
- 110
- Chance of Narita Brian
- 56.3%
- Copies of Narita Brian on average
- 0.82
- Chance of any 3★
- 96.5%
- Mileage at the end
- 110 of 200
Chance by pulls, from zero mileage
- 10 pulls7.3%
- 20 pulls14%
- 50 pulls31.4%
- 100 pulls52.9%
- 150 pulls67.7%
- 199 pulls77.6%
- 200 pulls100%
Luck alone gets to 50% at 93 pulls and 90% at 306; mileage makes it certain at 200. 200 pulls cost 30,000 Carats.
How it works out
Every pull is its own roll, so there's no pity building up besides mileage: the chance of seeing her in N pulls is 1 minus 0.99 to the power of N. Mileage is the only guarantee: 200 pulls always get her.
The banners page has the full rate tables and everyone in the pool.