Math Problem Statement
Solution
Let's analyze the problem based on the table shown in the image. The table classifies adults based on their gender and their opinion about which political party has better domestic policies.
The columns represent the opinion on:
- Republicans
- Democrats
- No Opinion
The rows represent gender (Male/Female). Here is the breakdown:
-
Males:
- Republicans: 220
- Democrats: 340
- No Opinion: 40
-
Females:
- Republicans: 170
- Democrats: 200
- No Opinion: 30
The problem asks for the probability that a randomly selected adult from these 1,000 adults believes that Democrats have better domestic policies.
Total number of adults:
Total number of adults who think Democrats have better policies:
Probability:
Answer:
The correct answer is 0.540.
Would you like more details on how probability works or have any further questions? Here are some additional related questions for practice:
- What is the probability that a randomly selected adult is male and thinks Republicans have better policies?
- What is the probability that a randomly selected adult has no opinion on the matter?
- What is the probability that a female adult thinks Democrats have better policies?
- What percentage of the total adults think Republicans have better domestic policies?
- If a male is randomly selected, what is the probability that he thinks Democrats have better policies?
Tip: When calculating probability, always ensure that your numerator is a subset of the denominator (i.e., total possible outcomes).
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Ratio
Formulas
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 9-12