Why don't sports teams use randomization?
freakonomics.blogs.nytimes.com
freakonomics.blogs.nytimes.com
The problem is - humans are not good at generating random bits on command.
Viz. "To my knowledge, no sports team in the history of humankind has ever run a random control trial to figure out which strategies work the best. (I make this extravagant claim in hopes of provoking you all into providing some counterexamples.)"