If I am flipping a fair coin, which of the following sequences is more likely: HHTHTTTHT or HHHHHHHHH? Most people would choose the former, but the real answer is that they are equally likely. Each flip is independent, with a 50 percent chance of an H or T on every one. Matching either sequence exactly is therefore equally likely, but our intuition says that the more random-looking sequence must be more probable.
