A bag of 25 tulip bulbs contains 10 red tulip bulbs, 9 yellow tulip bulbs, and 6

Question

A bag of 25 tulip bulbs contains 10 red tulip bulbs, 9 yellow tulip bulbs, and 6 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 places as needed.) (d) The probability that one bulb is red and one is yellow is (Round to three decimal places as needed.)

Explanation / Answer

a) probabilty =first one is red*second one is red =(10/25)*(9/24)=0.15

b)probability =(10/25)*(9/24)=0.15

c) firsst is yellow and second is red =(9/25)*(10/24)=0.15

d)probabilty that one is red and one is yellow =P(first yellow*second red+first red*second yellow) =0.15*0.15=0.3

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