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cupholder comments on Updating, part 1: When can you change your mind? The binary model - Less Wrong
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That is a difference, but it seems independent from the point I intended the example to make. Namely, that a relative frequency can still represent a probability even if its denominator includes duplicates - it will just be a different probability (hence why one can get 1/3 instead of 1/2 for SB).
Ok, yes, sometimes relative frequencies with duplicates can be probabilities, I agree.