Step 1 :The question is asking for the probability that a person is either under 18 or employed part-time. To solve this, we need to calculate the total number of people under 18 and the total number of people employed part-time, and then divide by the total population.
Step 2 :First, let's calculate the total population. This is the sum of all the numbers in the table, which is 3655.
Step 3 :Next, let's calculate the number of people under 18. This is the sum of the numbers in the row for ages 0 - 17, which is 534.
Step 4 :Then, let's calculate the number of people employed part-time. This is the sum of the numbers in the column for part-time employment, which is 817.
Step 5 :Finally, we subtract the number of people who are both under 18 and employed part-time (since we counted them twice), which is 179, and divide by the total population to get the probability.
Step 6 :The calculation is as follows: \(\frac{534 + 817 - 179}{3655} = 0.320656634746922\)
Step 7 :Final Answer: The probability that a person is under 18 or employed part-time is approximately \(\boxed{0.321}\).