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

$P(\text{run a red light}) = \frac{\text{number of people who responded yes}}{\text{total number of people surveyed}}$

Here, the number of people who responded "yes" is 164, and the total number of people surveyed is the sum of those who said "yes" and those who said "no":

$\text{Total people surveyed} = 164 + 351 = 515$

Thus, the probability is:

$P(\text{run a red light}) = \frac{164}{515} \approx 0.3184$

Rounding to two decimal places:

$P(\text{run a red light}) \approx 0.32$

So, the probability is 0.32.

Would you like more details or have any questions?

Here are five related questions:

1. What is the probability that a person chosen at random has not run a red light?
2. How would the probability change if 50 more people responded "yes"?
3. If you repeated this survey with twice as many people, what would you expect the probabilities to be?
4. Can you express the probability as a percentage instead of a decimal?
5. How could you use these probabilities to estimate how many people in a larger population might have run a red light?

Tip: Probabilities always range between 0 and 1, and a probability closer to 1 means a higher likelihood of the event occurring.