Discrete Mathematics Level 3

An alien named Omega who can perfectly predict your actions gives you two boxes, A and B. If Omega predicts you will open just A, it will put $1,000,000 in A. But if the alien predicts you will open both boxes, it will put$0 in A. Additionally, Omega will always put \$1000 in box B.

You get to keep whatever money is in the box(es) you open. What do you do?

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