Talk:Valentine 2018/@comment-139.192.231.107-20180201052402/@comment-31096423-20180201152235

Only 80% of the playerbase will only get at least 1 SSR after rolling 350 times on the gacha, meaning the other 20% will get nothing at all. 350 rolls = 1050 SQ.

To get rough idea, the SSR appearence rate is only 1% per roll, that means there's a 99% chance of failing to get one. By using this formula here, you're able to determine how many rolls you need in order to get a guaranteed SSR:

(chance of failing) to the power of X = wished chance of failing

In this case, we know the chance to fail is 0.99 out of 1 (99% out of 100%), we calculate this to the power of the number of rolls we still don't know, X, and the result must be the chance of failing we're looking for, in this case, 0.01 (this is out of 1, and translates into a 1% chance of failure). The resulting formula looks like this:

0.99^x=0.01

this translates to:

log0.99(0.01) = x = 458.211

which can also be written as:

ln(0.01)/ln(0.99) = x = 458.211

This means that, in order to get a 99% chance of obtaining an SSR, we will need to pull 458 times = 1374 SQ

Meaning... spending "hundreds" of quartz will probably yield nothing. Also, it's important to note that, although the rate up for SSR is unknown, it is speculated to be 50% of the 1%, meaning, 0.5% of the whole pool (some say it's 1/3, 0,33%), this would translate into 919 rolls = 2757 SQ, a bit more than double the amount.

I should really create a page in the front page of the wikia with this, shouldn't I?