A group of people were asked if they had run a red light in the last year. 158 responded "yes", and 110 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 to 4 decimal places.

To find the probability that a randomly chosen person has run a red light in the last year, we use the formula for probability:

\[
P(\text{run red light}) = \frac{\text{number of "yes" responses}}{\text{total number of responses}}
\]

The total number of responses is the sum of those who said "yes" and those who said "no":
\[
\text{Total responses} = 158 + 110 = 268
\]

Now, we can calculate the probability:
\[
P(\text{run red light}) = \frac{158}{268}
\]

To express this as a decimal, we perform the division:
\[
P(\text{run red light}) = \frac{158}{268} \approx 0.5896
\]

Thus, the probability that a randomly chosen person has run a red light in the last year is approximately 0.5896 or \(\frac{158}{268}\) as a fraction.

Would you like further details or clarifications?

Here are 5 related questions to explore:
1. What is the probability that a randomly chosen person has *not* run a red light?
2. If 50 more people responded "yes", how would that affect the probability?
3. How would you calculate the probability if 10 people didn’t respond to the survey?
4. What are some other real-life applications of probability?
5. How can you express probabilities as percentages?

**Tip:** Always check if the total number of observations is accurate when calculating probabilities.

A group of people were asked if they had run a red light in the last year. 158 responded 'yes', and 110 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 to 4 decimal places.

Calculate the probability that a randomly chosen person has run a red light based on 158 'yes' and 110 'no' responses. This example uses basic probability theory, fractions, and decimals, making it suitable for students in Grades 6-8.

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