ARAM/ARURF does not seem random

Just curious if anyone else sees this - when I play ARAM or ARURF, I get a champion I do not own (free rotation?) 95+% of the time. I own 45 champions and in the current free rotation, there are 10 that I do not own. That means that I should get a champ I own 81.8% of the time if it is random. But... I don't. Even when I reroll, I get champs I do not own. Using 2 rerolls, I get 3 champs I do not own. Very, very unlikely. How is this RANDOM?
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