importance of concepts of probability

Statistics are not intuitive. If you ask a class to either flip a coin 100 times and record the results or pretend to flip a coin and record the results, you would be able to tell the results apart because humans don't fundamentally understand statistics. The problem is that in order to understand a lot about the world, you need to understand statistics. What seems random when looked at up close is often anything but when taken in mass. Is it reasonable to get six heads coin flips in a row. Yes, actually it is. Is it amazing that in a room of 25 people two have the same birthday? No, not really. Happens all the time. Those are trivial examples, but it is really important in real life to understand whether a bridge is going to fall down 1 out of 100 times or 1 out of 1,000,000 times.