The paradox doesn't go away if you assume that the Predictor is occasionally wrong. In real life, the people who know you best could probably predict your answe

The paradox doesn't go away if you assume that the Predictor is occasionally wrong. In real life, the people who know you best could probably predict your answer to the question with some accuracy better than chance. (For example, maybe your belief in free will biases you toward the two-box answer because you believe that your decision can't be predicted). This is just a thought-experiment that takes that real-life situation to its logical extreme to make the paradox more apparent.