To calculate the probability that a randomly chosen person is under 18 or employed part-time, we first need to identify the relevant data from the table and then compute the total population and the favorable outcomes.

Step 1: Extract the relevant data

From the table:

• Under 18 (Age group 0–17):

  • Full-time: 21
  • Part-time: 169
  • Unemployed: 250
  • Total for this group = $21 + 169 + 250 = 440$

• Part-time employment in other age groups:

  • 18–25: 199
  • 26–34: 69
  • 35–49: 192
  • 50+: 163
  • Total part-time employed (excluding under 18) = $199 + 69 + 192 + 163 = 623$

Step 2: Calculate the total population

The total population includes all age groups across all employment statuses:

• 0–17: 440
• 18–25: $287 + 199 + 189 = 675$
• 26–34: $291 + 69 + 24 = 384$
• 35–49: $430 + 192 + 166 = 788$
• 50+: $371 + 163 + 235 = 769$

The total population is: $440 + 675 + 384 + 788 + 769 = 3056$

Step 3: Calculate favorable outcomes

Favorable outcomes include:

1. Everyone under 18: 440 people.
2. Part-time employed (excluding under 18): 623 people.

Thus, the total number of favorable outcomes is: $440 + 623 = 1063$

Step 4: Calculate the probability

The probability is the ratio of favorable outcomes to the total population: $\frac{1063}{3056} \approx 0.3479$

So, the probability that a randomly chosen person is either under 18 or employed part-time is approximately 0.348 or 34.8%.

Would you like further details on any step or clarification?

Here are some related questions you might consider:

1. What is the probability that a person is under 18 and unemployed?
2. What is the probability that a person is over 50 and employed full-time?
3. What is the probability that a person is employed part-time, regardless of age?
4. What is the probability that a person is in the 18–25 age group and unemployed?
5. How many people are employed full-time across all age groups?

Tip: When calculating probabilities, always ensure that you're clear on whether outcomes overlap to avoid double-counting.