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.*

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:

\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

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:

\[ \text{Total number of people} = \text{Number of yes responses} + \text{Number of no responses} \]
\[ \text{Total number of people} = 388 + 285 = 673 \]

Now, calculate the probability:

\[ P(\text{run a red light}) = \frac{388}{673} \]

To express this probability as a decimal rounded to two decimal places, perform the division:

\[ P(\text{run a red light}) \approx \frac{388}{673} \approx 0.576 \]

Thus, the probability that a randomly chosen person has run a red light in the last year is approximately \(0.58\) (rounded to two decimal places).

Would you like details or have any questions? Here are five more questions you can ask:

1. What is the probability that a randomly chosen person has not run a red light in the last year?
2. How do you calculate the probability of multiple independent events?
3. What are some common uses of probability in real life?
4. Can you explain the concept of conditional probability?
5. 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.

Learn how to calculate the probability that a randomly chosen person has run a red light in the last year. Detailed step-by-step solution using the probability formula. Data: 388 people responded 'yes', 285 people responded 'no'.

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