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
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.
To find the probability that a randomly selected person does not take walks in the neighborhood but has a dog, we need to find the number of people who have a dog and do not take walks and divide it by the total number of people.
From the given two-way frequency table, we see that the number of people who have a dog and do not take walks is 21.
The total number of people is 100.
So the probability that a randomly selected person does not take walks in the neighborhood but has a dog is 21/100.
Therefore, the answer is 21/100.
To find the probability that a randomly selected person does not take walks in the neighborhood but has a dog, we need to find the number of people who have a dog but do not take walks and divide it by the total number of people.
From the given two-way frequency table, we can see that in the category "Has a Dog," there are 21 people who do not take walks. Therefore, the number of people who have a dog but do not take walks is 21.
The total number of people in the table is 100.
So, the probability of randomly selecting a person who does not take walks but has a dog is 21/100.
However, the answer should be in simplest form. To simplify the fraction, we can divide the numerator (21) and the denominator (100) by their greatest common divisor, which is 7.
21 ÷ 7 = 3
100 ÷ 7 = 14
So, the simplified fraction is 3/14.
Therefore, the probability that a randomly selected person does not take walks in the neighborhood but has a dog is 3/14.