Going for a Sweep in Game 3

Dak at Fire Joe Morgan asks:

I've been watching a fair amount of SportsCenter / BBTN today, and every two minutes someone mentions that there are "seven teams going for a sweep in an interleague series!", as if this is some sort of big deal. There are fourteen interleague series this weekend. If every match were a coin-flip, wouldn't we expect exactly seven teams to be going for sweeps in the third game of a series?

We'll start by assuming each team has an equal probability of winning each game, and the results of each game are independent. After one game, you're guaranteed that one team will have a 1-0 advantage. There is a 50% chance that the team that won the first game will win the second, meaning that there is a 50% chance the series will be 2-0 after two games. Therefore, dak is correct, you would expect half of the series to be on the verge of a sweep.

Why did the media make a big deal out of this -- and, I can confirm dak's observation: this was a big deal on SportsCenter and Baseball Tonight -- if it's actually expected? Because they don't understand basic probability. In fact, they are overtly antagonistic toward understanding simple logic and math. That's why websites like Fire Joe Morgan are so much fun to read. Media stupidity is such an easy target, and, even when their stupidity is pointed out them, they show no interest in correcting their errors or remedying the problem. It's like dealing with creationists.