Let’s say 1 in 50 people have a genius-level IQ. What are the odds that a random group of 50 people doesn’t have one such person? The answer is 37%, or 1/e. Why

Let’s say 1 in 50 people have a genius-level IQ. What are the odds that a random group of 50 people doesn’t have one such person? The answer is 37%, or 1/e. Why? Because the chances a given person isn’t a genius is 49/50. For 50 people, the odds that none are geniuses is (49/50)^50, which is about 37%. And limit as n approaches infinity of ((n-1)/n)^n is 1/e. Math goblins.