A bag contains five black, three red, and eight white balls. If three balls are drawn at random, find the probability that all are white.

Answer 1

P(3W) = P(1stW)P(2ndW)P(3rdW) = (8/16)(7/15)(6/14) = 336/3360 = 1/10

10% chance all white in 3 draws where half are white

(1/2)(7/15)(6/14) = (7)(6)/(2)(15)(14) = 42/420 = 1/10