This reminds me of that experiment where subjects who got $10 (or something) if they picked a red jellybean, preferred to pick from a bowl containing 7 red jell

This reminds me of that experiment where subjects who got $10 (or something) if they picked a red jellybean, preferred to pick from a bowl containing 7 red jellybeans out of 100 rather than 1 red jellybean out of 10, because they figured there were more red jellybeans in the first one. Some of them said they knew they were being irrational and then picked from the first bowl anyway. Yes, this is a real experiment. Apparently the concept of reducing a fraction is as genuinely foreign to Muggles as the concept of "well, if it's irrational maybe I shouldn't do it then".