A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. the dispenser operates such that one quarter delivers 1 gumball.
a) using 3 quarters, what is the probability of obtaining 3 gumballs in the order of orange, purple orange?
b) using 1 quarter, what is the probability of obtaining 1 gumball that is either purple or yellow?
c) using 3 quarters, what is the probability that of the 3 gumballs obtained, exactly 1 will be purple and 1 will be yellow?