Math Problem Statement

A poll showed that 44.7% of Americans say they believe that some people see the future in their dreams. What is the probability of randomly selecting someone who does not believe that some people see the future in their dreams?

Solution

The problem asks for the probability of randomly selecting someone who does not believe that some people can see the future in their dreams. Here's how we solve this:

  1. Given Probability: 44.7% believe that some people can see the future in their dreams.
  2. Complement Probability: The probability of someone not believing this is 10.447=0.5531 - 0.447 = 0.553 (or 55.3%).

Final Answer:

The probability is 55.3%.

Would you like a detailed explanation of complement probabilities or help with a similar concept?

Related Questions:

  1. What is the complement rule in probability, and when is it applied?
  2. How would the answer change if 30% believed instead of 44.7%?
  3. Can you explain how probabilities are represented as fractions, decimals, and percentages?
  4. Why is the sum of probabilities for complementary events always equal to 1?
  5. What are some real-world applications of complement probabilities?

Tip: Always subtract a probability from 1 when looking for the complement (the opposite event).

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Math Problem Analysis

Mathematical Concepts

Probability
Complement Rule

Formulas

P(A') = 1 - P(A)

Theorems

Complement Rule of Probability

Suitable Grade Level

Grades 6-8