A group of people were asked if they had run a red light in the last year. 189 responded "yes", and 319 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

1 answer

To find the probability that a randomly chosen person has run a red light in the last year, we first need to determine the total number of respondents.

The total number of respondents is the sum of those who answered "yes" and those who answered "no": \[ \text{Total} = 189 + 319 = 508 \]

Next, we find the probability that a randomly selected person has run a red light in the last year. This is given by the ratio of the number of people who answered "yes" to the total number of respondents: \[ P(\text{run a red light}) = \frac{\text{Number of "yes"}}{\text{Total number of respondents}} = \frac{189}{508} \]

Now we will convert this fraction into a decimal: \[ P(\text{run a red light}) \approx 0.3728 \]

Thus, the probability that a randomly chosen person has run a red light in the last year is: \[ \boxed{0.3728} \]

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