Questions: Question 8 A group of people were asked if they owned a dog. 174 responded "yes", and 331 responded "no". Find the probability that if a person is chosen at random, they own a dog. 174/505 174/331 157/174

Question 8 A group of people were asked if they owned a dog. 174 responded "yes", and 331 responded "no". Find the probability that if a person is chosen at random, they own a dog. 174/505 174/331 157/174
Transcript text: Question 8 A group of people were asked if they owned a dog. 174 responded "yes", and 331 responded "no". Find the probability that if a person is chosen at random, they own a dog. $\frac{174}{505}$ $\frac{174}{331}$ $\frac{157}{174}$
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Solution

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Solution Steps

To find the probability that a randomly chosen person owns a dog, we need to divide the number of people who responded "yes" by the total number of respondents.

Solution Approach
  1. Calculate the total number of respondents by adding the number of "yes" and "no" responses.
  2. Divide the number of "yes" responses by the total number of respondents to get the probability.
Step 1: Calculate the Total Number of Respondents

To find the total number of respondents, we add the number of people who responded "yes" and the number of people who responded "no": \[ \text{Total Respondents} = 174 + 331 = 505 \]

Step 2: Calculate the Probability of Owning a Dog

The probability that a randomly chosen person owns a dog is given by the ratio of the number of "yes" responses to the total number of respondents: \[ \text{Probability} = \frac{174}{505} \approx 0.3446 \]

Final Answer

\(\boxed{\frac{174}{505}}\)

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