Question

In: Statistics and Probability

A bag of 28 tulip buds contains 11 red tulip buds, 11 yellow tulip buds, and...

A bag of 28 tulip buds contains 11 red tulip buds, 11 yellow tulip buds, and 6 purple tulip buds

(a) What is the probability that two randomly selected tulip bulbs are both red? Round answer to three decimal places

(b) What is the probability that the first bulb selected is red and the second yellow? Round answer to three decimal places

(c) What is the probability that the first bulb selected is yellow and the second red? Round answer to three decimal places

(d) What is the probability that one bulb is red and the other yellow? Round answer to three decimal places

Thank you! :)

Expert Solution

(a) What is the probability that two randomly selected tulip bulbs are both red? Round answer to three decimal places

Probability first bulb is red = 11/28

There are not 10 red bulbs left and 27 total bulbs left
Probability second bulb is red = 10/27

P =(11/28)*(10/27) = 0.146

(b) What is the probability that the first bulb selected is red and the second yellow? Round answer to three decimal places

Probability first bulb is red = 11/28
Probability second bulb is yellow = 11/27

P = (11/28) * (11/27) = 0.160

(c) What is the probability that the first bulb selected is yellow and the second red? Round answer to three decimal places

Probability first bulb is yellow = 11/28
Probability second bulb is red = 11/27

P = (11/28) * (11/27) = 0.160

(d) What is the probability that one bulb is red and the other yellow? Round answer to three decimal places

sum the answer from b and c

=0.160 + 0.160 = 0.320

orchestra answered 1 year ago

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