In April, David Aldous gave a talk on the top ten things that math probability says about the real world.
My favorite (i. e. the one I hadn't really thought of before) was that news headlines are only interesting in real time. If you woke up twenty-five years from now and decided to read the last 25 years worth of news headlines, you probably wouldn't learn much. It's a good bet that at some point in that period the stock market had a really bad day, and will it matter, in 2033, that on September 29, 2008 the Dow lost 777 points? The trends are more important, but you can't see them from looking at individual headlines; you can only see them by looking at how many of different types of headlines there were.
Compare, for example, the fact that it's difficult to determine who's good at hitting in baseball by watching games; the difference between a good hitter and a poor one might be, say, one hit every five games, which is too small to measure without actually counting how many times they do various things.