Phil rolls 6 fair 6-sided dice. What is the probability that at least three dice show the same number?
6 choose 3 * 6 + 6 choose 4 * 6 etc / 6^6 which is 4897/7776 i think
[6C3 * 5^3] + [6C4 * 5^2] + [6C5 * 5^1] + [6C6 * 5^0] =[2500 + 375 + 30 + 1] =[2906 * 6] =17436 / 6^6 =37.37%
