For the Isabel rate-up

MAke Drama: MAD summon calculator

A rate-up pull gives the featured partner 2% of the time and any 3-star 3%. Every 10th pull is at least a 2-star, which leaves those odds where they are. Each pull adds 1 mileage, and 200 mileage buys the featured partner outright.

Your odds

Pulls
110
Chance of Isabel
89.2%
Copies of Isabel on average
2.20
Chance of any 3-star
96.5%
Mileage at the end
110 of 200

Chance by pulls, from zero mileage

  • 10 pulls18.3%
  • 20 pulls33.2%
  • 50 pulls63.6%
  • 100 pulls86.7%
  • 150 pulls95.2%
  • 199 pulls98.2%
  • 200 pulls100%

Luck alone gets to 50% at 35 pulls and 90% at 114; mileage makes it certain at 200. 200 pulls cost 24,000 Seeds.

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 0.98 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.