Math Problem Statement

If one adult is randomly selected from these 1000 adults, the probability that this adult thinks Democrats have better domestic policies: Select the correct response.

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:

  1. Republicans
  2. Democrats
  3. 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:

220+340+40+170+200+30=1000220 + 340 + 40 + 170 + 200 + 30 = 1000

Total number of adults who think Democrats have better policies:

340 (males)+200 (females)=540340 \ (\text{males}) + 200 \ (\text{females}) = 540

Probability:

Probability=Number who think Democrats have better policiesTotal number of adults=5401000=0.54\text{Probability} = \frac{\text{Number who think Democrats have better policies}}{\text{Total number of adults}} = \frac{540}{1000} = 0.54

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:

  1. What is the probability that a randomly selected adult is male and thinks Republicans have better policies?
  2. What is the probability that a randomly selected adult has no opinion on the matter?
  3. What is the probability that a female adult thinks Democrats have better policies?
  4. What percentage of the total adults think Republicans have better domestic policies?
  5. 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