Why does intention have to be a nondeterministic thing? Can't people indent to do something, even if they were determined to intend to choose it?

But given enough humans just faffing about randomly, one will eventually think up and write down “Hamlet”.

In strict determinism, every action, thought, feeling, whatever, was predetermined at the moment of the big bang by the starting state and physics.

Determinism and randomness cannot coexist.

You're reading the expression totally backwards. It says absolutely nothing about choice, but the illusion of coincidence. If anything, the point backs up a lack of choice and reinforces the point that humans are full of themselves...