A bag of 34 tulip bulbs contains 14 red tulip bulbs, 11 yellow tulip bulbs, and

Question

A bag of 34 tulip bulbs contains 14 red tulip bulbs, 11 yellow tulip bulbs, and 9 purple tulip bulbs. (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 red? (d) What is the probability that one bulb is red and the other yellow? (a) The probability that both bulbs are red is (Round to three decimal places as needed) (b) The probability that the first bulb is red and the second is yellow is (Round to three decimal places as needed (c) The probability that the first bulb is yellow and the second is red is (Round to three decimal place

Explanation / Answer

a) P(both red) = 14/34 * 13/33 = 0.162

b) P(1st red and 2nd yellow) = 14/34 * 11/33 = 0.137

c) P(1st yellow and 2nd red) = 11/34 * 14/33 = 0.137

d) P(one red and one yellow) = P(1st red and 2nd yellow) + P(1st yellow and 2nd red)

                                                = 0.137 + 0.137

                                                = 0.274

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