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I'll use the example of a coin toss to illustrate my question.

If I flip a coin, I create a branch point in my universe from which two universes emerge, where both heads and tails occur. But, if the many worlds interpretation is deterministic then how could I have two different outcomes coming from the same universe, with the same conditions determining the outcome of the coin toss? Surely, for something to be deterministic, only one thing could have happened. If it is possible for two things to occur from the same event, then the event is based on chance, and not determined.

It would then, in accordance to Bell's inequality, follow that either hidden variables can't exist within the interpretation, or locality is violated.