Final answer:
To calculate the probability of selecting a person from a given category, divide the number in that category by the total population. Examples provided assume hypothetical numbers as specific data is not given. General approaches are explained for probability calculations.
Step-by-step explanation:
To answer questions about probability, you must know the total number of people and the number of people in each category. For the questions you've posed, you would need data from the questionnaire, tally sheet, or study to provide exact probabilities. In the absence of specific data, we can discuss the general approach to solving such questions.
To find the probability of choosing a person in a specific category from a hat:
- Determine the total number of names in the hat (total population).
- Count the number of names in the category of interest.
- Divide the number of names in the category by the total population to get the probability.
Examples based on hypothetical numbers:
- If there are 50 adults and 150 total individuals, the probability of choosing an adult is 50/150, which simplifies to 1/3 or approximately 0.3333.
- If there are 30 children and 20 teens, totaling 50 individuals in these categories, and still 150 in total, the probability of choosing a child or a teen is 50/150, which simplifies to 1/3.
- If the 'teen' category has 20 individuals and 'young' has another 30, totaling 50, the probability of choosing someone from the teen or young category would be 50/150, simplifying to 1/3.
Note that each category must be mutually exclusive for these calculations to work correctly, and that specific real data is required for precise probabilities.