>>8228341>I thought statistically it's 0.5% each time she pulls regardless of how many times she does it.It is, but you can consider all the things as a whole and calculate the probability that she got it.
9S has a 0.5% chance of being pulled. Which is also a 99.5% chance of not pulling him. If you make a single pull, you have a 0.995 chance of not getting him. But if you make two pulls, you have a 0.995 * 0.995 chance of not getting him. If you make three pulls, you have a 0.995 * 0.995 * 0.995 chance of not getting him. You can reduce that to 0.995^X, where X is the number of pulls. If you want your chance of getting 9S, you need the opposite of your chance of not getting him, which is 1 - the chance of not getting him.
After 10 pulls, your chances of getting him is 1-0.995^10 which is ~1-0.9511 which is ~0.0489. You can see that this is 4.89%, which is close to but lower than 5% (0.5% * 10).
After 100 pulls, your chances of getting him is 1-0.995^100 which is ~39%
After 138 pulls, you have 49.9% chance of getting him, after 139 50.1%.
200 pulls is ~63%, 500 pulls ~92%, 1000 pulls ~99%
This is not taking into account the pity systems