I'm making this guide because I want it to exist, not because I am good at math. Is the math thus far correct, and how do I calculate the next ones? I have a feeling I am going to need to account for the fact that a few colours are shared by ranges. I don't really care if the math isn't perfect (within like 1%ish margin of error), as long as it's fairly accurate.
Anyone who helps will get their names on the chart as thanks!
[img]http://i.imgur.com/cmpjZeH.png[/img]
I'm making this guide because I want it to exist, not because I am good at math. Is the math thus far correct, and how do I calculate the next ones? I have a feeling I am going to need to account for the fact that a few colours are shared by ranges. I don't really care if the math isn't perfect (within like 1%ish margin of error), as long as it's fairly accurate.
Anyone who helps will get their names on the chart as thanks!
@
Scarfsickle
You accidentally have 1200/177 for greyscale, when it should be 2100/177 % = approx 11.8%
The probability of multiple independent events all occurring is the product of their individual probabilities, so e.g. the probability of all three colors being greyscale would be (21/177)^3 = approx 0.17%, if I'm remembering my probability stuff correctly.
The chance of two colors being in a particular range, if you don't care about which two of the prim/sec/tert, would be
P(prim/sec in range, tert not) + P(prim/tert in range, sec not) + P(sec/tert in range, prim not)
The terms being summed should be equal in this case, so you can simplify it to 3*P(two in range, one not) = 3*P(in range)*P(in range)*P(not in range). So e.g., for greyscale, it'd be 3*(21/177)*(21/177)*([177-21]/177) = approx 3.7% (again assuming I'm remembering this stuff correctly).
Since this is for gen 1s, the location of a color on the wheel doesn't affect the chances of getting it, so you can include maize/cream in the yellow and/or orange range(s), if you like. :)
@
Scarfsickle
You accidentally have 1200/177 for greyscale, when it should be 2100/177 % = approx 11.8%
The probability of multiple independent events all occurring is the product of their individual probabilities, so e.g. the probability of all three colors being greyscale would be (21/177)^3 = approx 0.17%, if I'm remembering my probability stuff correctly.
The chance of two colors being in a particular range, if you don't care about which two of the prim/sec/tert, would be
P(prim/sec in range, tert not) + P(prim/tert in range, sec not) + P(sec/tert in range, prim not)
The terms being summed should be equal in this case, so you can simplify it to 3*P(two in range, one not) = 3*P(in range)*P(in range)*P(not in range). So e.g., for greyscale, it'd be 3*(21/177)*(21/177)*([177-21]/177) = approx 3.7% (again assuming I'm remembering this stuff correctly).
Since this is for gen 1s, the location of a color on the wheel doesn't affect the chances of getting it, so you can include maize/cream in the yellow and/or orange range(s), if you like. :)
@
smileytechie Thanks for catching that mistake!
I'm headed to bed and too tired to fully absorb all of this, but I appreciate your help heaps and will make sure to adequately credit you whenever I finish this :') <3 You really went above and beyond.
@
smileytechie Thanks for catching that mistake!
I'm headed to bed and too tired to fully absorb all of this, but I appreciate your help heaps and will make sure to adequately credit you whenever I finish this :') <3 You really went above and beyond.
@
Scarfsickle
Glad to help! I whipped up a quick
spreadsheet with the calculations for each range for ya, feel free to use it or not. :)
@
Scarfsickle
Glad to help! I whipped up a quick
spreadsheet with the calculations for each range for ya, feel free to use it or not. :)
