Presumably the Predictor would be smart enough to calculate the result of that coin flip.
If it was an actually random bit, then I don’t know. In the real universe, as you require, then the Predictor would have a 50% certainty of being right. Probably if the Predictor thought you might do that it wouldn’t offer you the challenge, in order to maintain its reputation for omniscience.
Presumably the Predictor would be smart enough to calculate the result of that coin flip.
If it was an actually random bit, then I don’t know. In the real universe, as you require, then the Predictor would have a 50% certainty of being right. Probably if the Predictor thought you might do that it wouldn’t offer you the challenge, in order to maintain its reputation for omniscience.