The following two-way frequency table shows information collected from a survey of attendees at a neighborhood meeting regarding how many people have a dog and how many people take walks in the neighborhood.

What is the probability that a randomly selected person does not take walks in the neighborhood but has a dog?

Write your answer as a fraction in simplest form, formatted like this: 2/7

Dog Owner vs.
Walk Routine Walks Does Not
Walk Total
Has a Dog 57
21
78

Does Not Have
a Dog 13
9
22

Total 70
30
100

1 answer

The total number of people who have a dog is 78, and the number of people who have a dog but do not take walks in the neighborhood is 57. Thus, the probability that a randomly selected person does not take walks in the neighborhood but has a dog is 57/78, which simplifies to 19/26. Therefore, the answer is 19/26.
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