A box contains 5 white balls and 6 black balls. Five balls are drawn out of the box at random. What is the probability that they all are white?
P(all white on first 5 draws) =
5/11 * 4 / 10 * 3/ 9 * 2/ 8 * 1/7 =
5 / 11 * 2 / 5 * 1/3 * 1/4 * 1/7 =
(2 /11) * (1/12) * (1/7) =
2 / 924 =
1 / 462