The analogy is more this: Take a coin and split it in two. One side has heads, the other has tails. The key thing is you don't look at the two halves. Now,

The analogy is more this: Take a coin and split it in two. One side has heads, the other has tails. The key thing is you don't look at the two halves. Now, take one half at random, and send it to a person very far away. Too far away to communicate easily at light speed. Then, have the other guy look at what he has. He will (of course) determine that it has either heads or tails. Which means (of course) that the one you have is the opposite, either tails or heads. Nothing weird yet, right? The quantum weirdness comes in when you start doing variations of the tests to see what state the coin halves are in before you do the final measurement. It turns out that any model you can think of (hidden variables, etc.) has physical consequences. When you look for those physical consequences, you don't see them. What does that mean? In this case, your coin half and the other coin half are in an "indeterminate" state. They both have some properties of "heads" and they both have some properties of "tails". But their state is not determined. It really is an unknown state. And why move one half far away? Because you can do tricks where you both measure the coin halves at the same time, or near the same time. If (somehow) one measurement sent information from one coin to the other... that information has to transfer at light speed. But it doesn't. When one half is measured, the other half instantly becomes the opposite state. So far as anyone can tell, this process is instantaneous. And any "communication" between the two halves has infinite speed. The difficulty here is setting up systems so that they're isolated, and nothing interferes with the test. Then, doing all of the little measurements testing the edge conditions of your theory. In short, everything you think you know is wrong. The coin halves really aren't anything until you look at one of them. Then, both of them instantly become determined as heads/tails.