Brainlet tier question

I'm saying that .000...(1) = 0 for the same reason .999... = 1, which probably is a huge mistake.

Yes, this is correct the probility of picking a random element from an infinite set is zero.

>>8593076
Yes, we can see this if we consider a set of n numbers. The chances of picking a number would be 1/n

Then the limit as an approaches infinity implies that the set is infinite, and also implies the probability approaches 0.

>>8593076
This question is really asking what is the chance of finding 1 out of infinity

mathematically this is 1 over x, as the limit of x tends towards infinity, which is of course zero

This is a question about the notion of what probability means. Note that first of all that infinite possibilities in an event is not physical, it exists in mathematics only and so real world intuition is not applicable. Obviously a number would be chosen so the probability of it being chosen being 0 does not imply it being chosen is impossible, rather it states that the ratio of times this particular number is chosen over the total tries will tend to 0 as the number of tries approaches arbitarily large numbers, which makes perfect sense.

>>8593076
Yes. This would be a countably infinite uniform distribution, which cannot exist.

File: ujbjlr.gif (429KB, 366x256px) Image search: [Google]

429KB, 366x256px

>>8593228
>the probability of it being chosen being 0 does not imply it being chosen is impossible, rather it states that the ratio of times this particular number is chosen over the total tries will tend to 0

I fucking love that answer.

>>8593076
DON'T DO THIS!!! I DOWNLOADED THE IMAGE AND NOW I CANT DELETE IT WTF?????

>>8593076
That's the probability for a specific number to be picked, not the probability that it'll pick a number, nor the value of the number it picks

>>8593076
you can't have infinite anything regarding computers. infinite only exists conceptually.

>>8593076
>pick one at random
>implying this is well defined