Continue problem 1: A survey was conducted from 500 people to determine the probability of a person owning a car given that the person owns a pet. The results showed that 100 out of 300 pet owners also own a car. What is the probability that a randomly selected person owns a pet and a car?

To find the probability that a randomly selected person owns both a pet and a car, we use the information provided in the problem.

### Solution

1. **Total number of people surveyed:** \( N = 500 \).
   
2. **Number of pet owners who also own a car:** 100.

3. To determine the probability that a randomly selected person owns both a pet and a car, we calculate:
   \[
   P(\text{owns a pet and a car}) = \frac{\text{Number of people who own both a pet and a car}}{\text{Total number of people surveyed}}
   \]

4. Substituting the values:
   \[
   P(\text{owns a pet and a car}) = \frac{100}{500} = 0.2
   \]

### Answer
The probability that a randomly selected person owns both a pet and a car is **0.2**, or **20%**.

Would you like further details or have additional questions?

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Here are some related questions to deepen your understanding:

1. What is the probability that a randomly selected person owns a car, regardless of pet ownership?
2. What is the probability that a randomly selected person owns only a pet but not a car?
3. If a person is known not to own a car, what is the probability that they own a pet?
4. How would the probability change if the total number of pet owners was different?
5. What is the probability that a randomly selected person owns neither a pet nor a car?

**Tip:** When calculating joint probabilities, always ensure you know the total number of events in your population to determine accuracy.

A survey was conducted from 500 people to determine the probability of a person owning a car given that the person owns a pet. The results showed that 100 out of 300 pet owners also own a car. What is the probability that a randomly selected person owns a pet and a car?

Explore the probability of a randomly selected person owning both a pet and a car, based on survey results from 500 people. This example illustrates key probability concepts and joint probability calculations. Ideal for high school students.

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