In: Statistics and Probability
5. A bag contains 8 red orbs, 3 yellow orbs and 6 blue orbs. Five orbs are chosen at random, without replacement.
(a) What is the probability of choosing 3 red orbs and 2 yellow orbs?
(b) What is the probability of choosing 1 red orb, 2 yellow orbs and 2 blue orbs?
(c) What is the probability of choosing all blue orbs?
(d) What is the probability of choosing at least one blue orb?