Math Problem Statement
Solution
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 =
-
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) =
Step 2: Calculate the total population
The total population includes all age groups across all employment statuses:
- 0–17: 440
- 18–25:
- 26–34:
- 35–49:
- 50+:
The total population is:
Step 3: Calculate favorable outcomes
Favorable outcomes include:
- Everyone under 18: 440 people.
- Part-time employed (excluding under 18): 623 people.
Thus, the total number of favorable outcomes is:
Step 4: Calculate the probability
The probability is the ratio of favorable outcomes to the total population:
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:
- What is the probability that a person is under 18 and unemployed?
- What is the probability that a person is over 50 and employed full-time?
- What is the probability that a person is employed part-time, regardless of age?
- What is the probability that a person is in the 18–25 age group and unemployed?
- 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.
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Combinatorics
Formulas
Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 9-12
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