David Mermin wrote a classic paper that illustrates the strange statistical properties of entanglement in a way that doesn't require any physics knowledge.
"A simple device is described, based on a version of Bell's inequality, whose operation directly demonstrates some of the most peculiar behavior to be found in the atomic world. [...] The extraordinary implications of its behavior should be evident to anyone."
A quick search also turned up this animation that demonstrates Mermin's device:
http://web.pdx.edu/~pmoeck/lectures/Mermin%20shorter.pdf
"A simple device is described, based on a version of Bell's inequality, whose operation directly demonstrates some of the most peculiar behavior to be found in the atomic world. [...] The extraordinary implications of its behavior should be evident to anyone."
A quick search also turned up this animation that demonstrates Mermin's device:
http://faraday.physics.utoronto.ca/PVB/Harrison/BellsTheorem...