Monkey and the typewriter

I understand the underlying logic behind the statement that a monkey with a typewriter will someday produce a sonnet given enough time is the mathematical argument that any event with a positive probability must happen given enough occurrences.

But does a monkey has positive probability to hit all the keys? Monkey is a metaphor - understood. The more abstract version of my question is, how does one know if all the events are philosophically plausible has non-zero probability of actually happening?

Australia will win the 2015 ICC world cup

Again.

Memory can't be equivalent to identity

Even if all my memory is wiped out, I will still be the one who would feel my body

What matters?

I'll be old one day. The world as I know it will not pause. And I will be gone. What matters?

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