A bag of 30 tulip bulbs contains 12 red tulip bulbs, 11 yellow tulip bulbs, and
ID: 3317858 • Letter: A
Question
A bag of
30
tulip bulbs contains
12
red tulip bulbs,
11
yellow tulip bulbs, and
7
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
nothing .
(Round to three decimal places as needed.)
(b) The probability that the first bulb is red and the second is yellow is
nothing .
(Round to three decimal places as needed.)
(c) The probability that the first bulb is yellow and the second is red is
nothing .
(Round to three decimal places as needed.)
(d) The probability that one bulb is red and one is yellow is
nothing .
(Round to three decimal places as needed.)
Explanation / Answer
solution=
a) What is the probability that two randomly selected tulip bulbs are both red?
Probability first bulb is red = 12/30
There are not 11 red bulbs left and 29 total bulbs left
Probability second bulb is red = 11/29
P(RR) = (12/30)(11/29) = 0.1517241379
P(RR) = 0.152
b) What is the probability that the first bulb selected is red and the second yellow?
P(RY) = (12/30)(11/29) = 0.1517241379
P(RY) = 0.512
c) What is the probability that the first bulb selected is yellow and the second red?
P(YR) = (11/29)(12/30) = 0.1517241379
P(YR) = 0.512
d) What is the probability that one bulb is red and the other yellow?
P(RY OR YR) = 0.512 + 0.512 = .1.024
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