If I wanted to use logic, I'd say taking both A and B is the only way to have a guaranteed $1,000,000 outcome, because B only could get you money but also nothing.

But, if I choose B only, I'm sort of "forcing" the machine into that kind of prediction, right? I don't know about this experiment, but since your post says it's a paradox, I think that's how it works.

So my choice is B only, the machine has predicted it and I get a nice $1,000,000,000.

Am I totally off? :D