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I play someone that is really good all the time. I am guessing he probably would be rated about 1600-1800 FIDE if he took the time to learn longer time controls and actually joined a chess club and tried to get a rating. I've played him hundreds of thousands of times, (possibly 500,000 or more) and only beat him rougly about 50 times.
That should give everyone an idea just how often a 1300 will win against a 2700