Hypergeometric Distribution

For a population of 40 white balls and 60 black ones the distributions of the number of white balls in a sample of 10 taken with and without replacement can be compared with

plot(0:10, dbinom(0:10, size = 10, prob = .4),type="h",col="green") lines((0:10)+.05, dhyper(0:10, m = 40, n = 60, k = 10),type="h",col="red")