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A bag of 31 tulip bulbs contains 10 red tulip​ bulbs, 11 yellow tulip​ bulbs, and...

A bag of 31 tulip bulbs contains 10 red tulip​ bulbs, 11 yellow tulip​ bulbs, and 10 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag.

​(a) What is the probability that the 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​ red?

​(d) What is the probability that one bulb is red and the other​ yellow?

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