Math Problem Statement
A group of people were asked if they had run a red light in the last year. The number of people that responded yes is 388 and no is 285. Find the probability that if a person is chosen at random, he/she has run a red light in the last year. Round to two decimal places.
Solution
To find the probability that a randomly chosen person has run a red light in the last year, we need to use the formula for probability:
In this context:
- The number of people who responded "yes" (favorable outcomes) is 388.
- The number of people who responded "no" is 285.
First, calculate the total number of people surveyed:
Now, calculate the probability:
To express this probability as a decimal rounded to two decimal places, perform the division:
Thus, the probability that a randomly chosen person has run a red light in the last year is approximately (rounded to two decimal places).
Would you like details or have any questions? Here are five more questions you can ask:
- What is the probability that a randomly chosen person has not run a red light in the last year?
- How do you calculate the probability of multiple independent events?
- What are some common uses of probability in real life?
- Can you explain the concept of conditional probability?
- How does the law of large numbers relate to probability?
Tip: When working with probabilities, always ensure the sum of the probabilities of all possible outcomes equals 1. This helps verify the accuracy of your calculations.
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Math Problem Analysis
Mathematical Concepts
Probability
Formulas
Probability formula: P(A) = Number of favorable outcomes / Total number of outcomes
Theorems
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Suitable Grade Level
Grades 9-12