how good is 2200 elo chess player
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Online ratings are not as reliable as OTB ratings. So predictions based on online rating differences are not very accurate.
In OTB ratings, a difference of 200 points means that the higher rated player is expected to win about 75 percent of the games. A difference of 100 points means that the higher player should win about 63 percent of the time.
To go back to the original question, a 2200 beats a 2000 player 3 out of 4 games and beats a 2100 player just under 2 out of 3 games.