Math Problem Statement
A group of people were asked if they had run a red light in the last year. 243 responded "yes", and 224 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
Solution
To find the probability that a randomly chosen person has run a red light in the last year, we use the formula for probability:
Given:
- Number of "yes" responses = 243
- Number of "no" responses = 224
- Total number of responses = 243 + 224 = 467
Now, the probability is:
So, the probability that a randomly chosen person has run a red light in the last year is approximately or .
Would you like more details or have any questions?
Here are 5 related questions:
- What is the probability that a randomly chosen person has not run a red light in the last year?
- How would the probability change if 50 more people responded "yes"?
- If another survey was conducted with double the number of respondents, how might the results differ?
- How can probabilities be used to predict future survey outcomes?
- What is the probability if 75% of the people had run a red light?
Tip: Probabilities are always between 0 and 1, where 1 means the event is certain to happen, and 0 means it is impossible.
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Math Problem Analysis
Mathematical Concepts
Probability
Basic Fractions
Ratio
Formulas
P(event) = number of favorable outcomes / total outcomes
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8