User blog comment:DocTanner/Why ARAM doesn't feel random/@comment-4814368-20131003161252

Yes! This is the bane of game designers and why in other games, when something says "Random", it almost certainly isn't. Randomness is, unfortunately, random, and falls prey to this stuff.

Which is actually why I think Riot should make ARAM less random, maybe turning down the frequency of certain champions based upon having just played them or rolled them, etc.