[danq__]

I don't think this delivers the intuition in a simple manner. It's also not fully correct. People explain entropy in over complicated ways and even in this thread many people explaining it don't get it. There is a simple way to think about this and I guarantee if you read my explanation you'll understand it more.

In essence what you need to realize is that entropy is just a label for an aspect of probability.

Things tend to become disordered over time because disordered states are more probable then ordered states. Entropy is thus simply phenomenon of probability... of things moving from a low probability state to a high probability state. That's it.

That's really all there is to it. That's all you need to digest, all the complicated math and explanations are all just surrounding the above concept.

Entropy is just a high level abstraction of probability. It just allows you to explain things without the intuition of probability bogging you down. For example, explaining life in terms of probability is harder to grasp as it's akin to rolling 10 dice and having all the dice roll a 6.