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I don't think they're claiming their statistics-based predictions are necessarily more accurate than the bookmakers' odds

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Good point, I suppose "69%" accuracy doesn't actually mean that much unless you consider the odds.

I'm pretty sure I could predict Real Madrid vs. my local home town team with better than 69% accuracy, but that doesn't mean much

Well sure, but there are over 2200 games per month and less than 3-5% are the kind of games you are talking about. Super good team vs terrible team (assuming your local home town team is not Barcelona)

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