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Roll Chance Equation

I remember seeing somewhere on the fgo wiki an equation for calculating the chance of you getting a certain servant with the main variable being the amount of rolls you have available. Anyone happen to have it? I know off the top of my head, 300 sq is around 50% but I am curious for other amounts too.
It would actually be sort of cool if they could add the equation itself to the tools on this site but I guess the quartz summon simulator does fills that roll in a way.

Asked by CrossarmX6 years 3 months ago
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https://shipfu.moe/fgo/

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1.00 - (0.993^x)

X is the number of rolls. 0.993 is the chance of not getting a solo rate up five star servant.

Example:
100 rolls is 1.00-0.993^100 = 0.5046
Which means in 100 rolls you have a 50.46% chance of getting a specific five star on rate up.

Use 0.99 instead of 0.993 if you’re looking for the chance of getting ANY five star servant

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Hassan is 0.7%. During the last banner, when there were 3 SSRs on rate up the last days, it was 0.3% for each.

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by Muesli 6 years 3 months ago

https://docs.google.com/spreadsheets/d/1DwCoMzkWUTCboXUN8Vu8Eys3PUbmdzQ3UYUlD95us1I/edit#gid=0

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