Suzy has a bag containing 5 red marbles, 2 green ones, 4 white ones, and 3 purple ones. She grabs 9 of them. Find the probability that she does not have all the green ones. Express the answer as a fraction in lowest terms.

Answer 1

Find the prob of getting both green ones
which is
C(2,2)*C(12,7)/C(14,9)
= 792/2002

so prob(not all green) = 1- 792/2002
= 1210/2002
55/91