Pretty amazing. If the outcome is determined by 100 million independent coin flips, the probability of a margin greater than one tenth of a percent is 1.5e-23.

Pretty amazing. If the outcome is determined by 100 million independent coin flips, the probability of a margin greater than one tenth of a percent is 1.5e-23. In R n <- 100000000 diff <- 0.1/100 a_wins <- n*(1-diff)/2 b_wins <- n*(1+diff)/2 p1 <- pbinom(a_wins, size = n, prob = 0.5) p2 <- pbinom(b_wins, size = n, prob = 0.5, lower.tail = F) p1 + p2 # = 1.523959e-23