Scenario

There is a predictor, you, and two boxes designated A and B. You are given a choice between taking only box B, or taking both boxes A and B. You know the following:



Box A is clear, and always contains a visible $1,000.



Box B is opaque, and its content has already been set by the predictor:

If the predictor has predicted you will take both boxes A and B, then box B contains nothing.

If the predictor has predicted that you will take only box B, then box B contains $1,000,000.



You do not know what the predictor predicted or what box B contains while making your choice.