The KC Royals playoff run was one of the most improbable feats in sports history, if you buy into the Tweets and many articles flying around the internet citing the following set of facts:
Probability and statistics tells us the chance of two separate events both occurring is the multiple of each individual probability. In short, it would seem the odds of the KC Royals winning all of those games would be: .18 x .01 x .25 x .08 x .10 x .16 x .05 (for game 5, probability courtesy of Baseball-Reference). That calculation gives us the ridiculously unlikely 1 in 2.