A bag of 30 tulip bulbs purchased from a nursery contains 13 red tulip bulbs, 9 yellow

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Question:

A bag of 30 tulip bulbs purchased from a nursery contains 13 red tulip bulbs, 9 yellow tulip bulbs, and 8 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag
(a) What is the probability that two randomly selected tulip bulbs are both red?
(b) What is the probability that the ﬁrst bulb selected is red and the second yellow?
(c) What is the probability that the ﬁrst bulb selected is yellow and the second is red?
(d) What is the probability that one bulb is red and the other yellow?