Math Problem Statement
A group of people were asked if they had run a red light in the last year. 266 responded "yes", and 236 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 can use the following formula for probability:
- The number of people who responded "yes" is 266.
- The number of people who responded "no" is 236.
- Therefore, the total number of responses is:
Now, we calculate the probability:
So, the probability is approximately , or as a fraction, it remains , which simplifies to .
Let me know if you’d like a more detailed explanation or if you have any questions.
- What is the probability that a randomly chosen person has not run a red light?
- How can this probability be represented as a percentage?
- What would the probability be if the total number of people surveyed changed?
- How would the probability change if more people answered "yes"?
- What is the complement of this probability?
Tip: Probabilities are often represented as decimals, fractions, or percentages. Practice converting between these forms to become comfortable interpreting probability results.
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Math Problem Analysis
Mathematical Concepts
Probability
Fractions
Decimal Representation
Formulas
P(run red light) = number of 'yes' responses / total number of responses
Theorems
-
Suitable Grade Level
Grades 6-8