Why probability of 0 does not mean impossible
Why probability of 0 does not mean impossible
Also, for the real analysis buffs among you, there was one statement I made in this video that is a rather nice puzzle. Namely, if the probabilities for each value in a given range (of the real number line) are all non-zero, no matter how small, their sum will be infinite. This isn’t immediately obvious, given that you can have convergent sums of countable infinitely many values, but if you’re up for it see if you can prove that the sum of any uncountable infinite collection of positive values must blow up to infinity.