The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given that they drink root beer. Express your answer as a simplified fraction. cola root beer lemon-lime under 21 years of age 40 25 20 between 21 and 40 35 20 30 over 40 years of age 20 30 35 O 2/5 6/17 none of the other answers are correct 5/17

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Please see below. I don't believe the answer I got is right. I'm leaning towards 6/17 as the answer. Need help.
The table below shows the soft drinks preferences of people in three age groups.
If one of the 255 subjects is randomly selected, find the probability that the person is
over 40 years of age given that they drink root beer. Express your answer as a
simplified fraction.
cola
root beer
lemon-lime
under 21 years of age
40
25
20
between 21 and 40
35
20
30
over 40 years of age
20
30
35
O 2/5
O 6/17
none of the other answers are correct
5/17
Transcribed Image Text:The table below shows the soft drinks preferences of people in three age groups. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given that they drink root beer. Express your answer as a simplified fraction. cola root beer lemon-lime under 21 years of age 40 25 20 between 21 and 40 35 20 30 over 40 years of age 20 30 35 O 2/5 O 6/17 none of the other answers are correct 5/17
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Step 1

Required probability is P(over 40 years of age |drink root beer) 

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