Saved by the Bell's Inequalities

This summer I was asked to give a lecture at the Quantum Cryptography School for Young Students. Some of the brightest high school students from around the world gathered at the Institute for Quantum Computing (where I work) to learn about what we do. I spoke about Bell's Inequalities, one of the fundamental ideas that is the foundation for much of what we do in my field.

The lecture is aimed at a more advanced enthusiasts. I was impressed by how well the students were able to keep up. Bell's inequalities is not easy to explain and the subtleties are even lost on many physicists. I have been searching for a way to convey the critical results of Bell's inequalities to a ten year old, but have so far failed. If anyone knows of a clever explanation, let me know. (I don't think the standard explanations using the colour of ones socks or baking cakes are clear for a general audience.)