0.9999 isn't 1

the chance that you will pick 0.5 IS zero.
Events with zero probability can happen.

>0.0000...1 is equal to the chance of randomly picking 0.5 from a uniformly distributed random variable that can take values between 0 and 1 inclusive
What the fuck is this bullshit claim

But look what happens when there's infinite digits.

Oh my god, it equals 1.11111....

It's almost as if infinity is different that finity.

The difference between 1 and 2 is 1
What's the difference between .9999999 repeating and 1?

Infinitesimal , or ?

equivalent vs equal...Heh

>a =/= b exists c: a

That's a qualitative argument for why you think it shouldn't be the same, not an actual mathematical argument. Infinitesimals don't exist in real numbers and probability theory is based on real analysis.

>mfw I type all that shit on a calculator and it's true
Mother of god...

1 isn't 1 either. It's just a visual representation of 1. And so is 0.999...
Both represent 1 equally well. And both act as a placeholder for 1 within mathematical axioms equally well. Therefor 0.999... = 1

Just like car = voiture

They suppose they need some bullshit to keep their job