Given an infinite amount of monkeys typing randomly on a typewriter for infinite time...

But they're typing for an infinite amount of time.

Surely you didn't miss that?

Depends on how many monkeys there are.

If there are countably infinite monkeys, then no.

If the number of monkeys is equal to or greater than the cardinality of the continuum, then yes.

Think of it this way: if every irrational number had a 100% chance of showing up, there would need to be at least that many monkeys to type each of those irrational numbers. So there would have to be more than countably infinite monkeys to match up with the irrational numbers.

does the typewriter have a pi symbol?

Infinity doesn't exist.

100%
every monkey will type 10 at least once
if you count in base pi

zero. Monkeys can't use typewriters

if it's a greek typewriter

Never, because the monkeys are typing, not writing.

If the whole floor was a keyboard, what exactly is the probably of squirrel typing down pi exactly?