Question

refer to a bag of marbles containing 5 green marbles, 4 red marbles and 2 yellow marbles. Three marbles are drawn from the bag, without replacement. What is the probabilty that all three marbles drawn are green?

Answer 1

11 marbles, 5 green
probability that #1 is green = 5/11

now 10 marbles, 4 green
probability that #2 is green = 4/10

now 9 marbles, 3 green
probability that #3 is green = 3/9

so
5/11 * 2/5 * 1/3
= 2/33

Answer 2

thanks what is the probability that at least one of the marbles drawn is green? I thinks it's 1/11 but not sure.


Then what is the probability that only one of the marbles drawn are green?