If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

To calculate the probability that a randomly chosen person from the town's population is either under 18 or employed part-time, we need to use the principle of inclusion and exclusion. Let's denote:

- \( P(A) \): The probability that a person is under 18.
- \( P(B) \): The probability that a person is employed part-time.
- \( P(A \cap B) \): The probability that a person is both under 18 and employed part-time.

The probability of either event occurring (being under 18 or employed part-time) is given by:

\[
P(A \cup B) = P(A) + P(B) - P(A \cap B)
\]

### Step-by-Step Solution

1. **Identify the given information**:
   - We need the total number of people in the town.
   - We need the number of people under 18.
   - We need the number of people employed part-time.
   - We need the number of people who are both under 18 and employed part-time.

2. **Calculate the individual probabilities**:
   - \( P(A) = \frac{\text{Number of people under 18}}{\text{Total population}} \)
   - \( P(B) = \frac{\text{Number of people employed part-time}}{\text{Total population}} \)
   - \( P(A \cap B) = \frac{\text{Number of people under 18 and employed part-time}}{\text{Total population}} \)

3. **Apply the formula**:
   \[
   P(A \cup B) = P(A) + P(B) - P(A \cap B)
   \]

### Required Information

To proceed, I need the specific numbers from the population, such as:

- The total population of the town.
- The number of people under 18.
- The number of people employed part-time.
- The number of people both under 18 and employed part-time.

If you provide this information, I can calculate the exact probability for you!

Learn how to calculate the probability that a randomly chosen person from a town's population is either under 18 or employed part-time. This problem involves using probability theory and the inclusion-exclusion principle. Detailed step-by-step solution provided.

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