I am a human, so at level 1 I have a 5% chance. At level 6, I have a 7.5%, at level 11 I have a 10% chance and at level 16 I have a 12.5% chance. What is the total probability of getting force sensitivity by level 17? Would I just add those up? for a total chance of 35% chance?
Level X = Race Force Probability + ((X - 1) / 5) * (Race Force Probability / 2)
Replace X with your level, and it'll tell you your Force probability for being Force sensitive at any level. It's important to note that your chance is only recalculated at 5 level intervals (1, 6, 11, 16, 21, 26, etc).
at level 1 you have a 5% chance, at level 6 you have a 7.5% chance. But that's two reroll chances. at level 11 you have 10% chance at level 16, you have 12.5% chance. So at level 17, you'd have 4 reroll tries at different percentages yes? So what would be the total probability that out of those four rolls, at the four different percentages you'd actually get sensitive?
I know what he means and was pondering about this specific question also. Its the total chance calculation for all rerolls combined but taken separately and consecutive. We had this in school but I (of course) forgot how it is done.
Honest Jic's math class is now on. To solve this problem you can solve the much simpler problem of the probability of not being FS. Basically subtract most things from one, multiply them together and subtract from 1 again. In this case, 1-(1-.05)*(1-.075)*(1-.1)*(1-.125).
The Force rolls are all independent events, so you're wondering what the total probability is for those independent events to occur. What is the probability that C happens if A or B did not happen, etc. I did some Googling on calculating independent events, but I'm not sure which formulas you'd use and I don't want to guess. Rik is right that having a math person would be helpful. Jic's answer may be correct? I'm really not sure.
Yeah, if you think of it incorrectly in terms of a single roll.
At lvl 16 it is still just 12.5% chance on that roll, but the chance of Any one of those 4 rolls at levels 1,6,11,16 coming up FS Positive is what 30% is. So if you're a lvl 1 human, you have about a 30% chance of being FS by level 16. If you're a lvl 16 non-fs human about to get tested again, you still only have a 12.5% chance to be FS.
Other example: say you are a human at level 16 who has never before been tested. Your chance Ian actually the 30%, because on this test at lvl 16, if Any of the server rolls at 1,6,11,16 were successful, you will be FS.