If you want to decide which football team takes the ball first or who gets the larger piece of cake, the fairest thing is to toss a coin, right? Not necessarily.
A new mathematical analysis suggests that coin tossing is inherently biased: A coin is more likely to land on the same face it started out on.
“I don’t care how vigorously you throw it, you can’t toss a coin fairly,” says Persi Diaconis, a statistician at Stanford University who performed the study with Susan Holmes of Stanford and Richard Montgomery of the University of California, Santa Cruz.