There's (1 : 9) bad vs. good widgets. Bad vs. good widgets have a (12 : 4) relative likelihood to spark. This simplifies to (1 : 9) x (3 : 1) = (3 : 9) = (1 : 3), then converts to a probability of 1/(1+3) = 1/4 = 25%.
by Eliezer Yudkowsky Feb 1 2016 updated Jul 4 2016
Odds of 1 : 3, probability of 1/4.
There's (1 : 9) bad vs. good widgets. Bad vs. good widgets have a (12 : 4) relative likelihood to spark. This simplifies to (1 : 9) x (3 : 1) = (3 : 9) = (1 : 3), then converts to a probability of 1/(1+3) = 1/4 = 25%.