The full title of Joseph Mazur's book Fluke is Fluke: The Math & Myth of Coincidence. The cover of the 2016 Basic Books edition shows a man in silhouette, walking his dog. A lightning bolt descends from the word "Fluke", aimed at the man's head. Wouldn't it be crazy if he had been hit by lightning before and was about to be so struck again?
An excerpt:
By definition, coincidences are events that happen without apparent cause. Apparent to whom? It does not mean there is no cause. The world generally moves by cause and effect. I say generally, because there are acausal phenomena in physics, psychology, and religion. But the word apparent tells us that the moment we learn the cause of a coincidental phenomenon, its status diminishes to a simple time-space event. That must mean that coincidences are relative to the people affected by them. It also means that the unapparent cause is there, waiting to be discovered. If there is no cause at all, then it happens by chance.
This is graspable in theory. It doesn't necessarily make this "unapparent cause" easy to pin down. There are probably some coincidences where the actual odds for and against remain a topic of hot debate.
One interesting thing I learned about in this book is the birthday problem, meaning that the probability of two people having the same birthday reaches 50% when there are 23 people in the group. This threw me at first. I would have guessed that this point came at 183, which is about half the number of days in the year. But the numbers check out when you look at it.
