A group of people were asked if they had run a red light in the last year. 162 responded "yes", and 268 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 accurate to at least 3 decimal places
Question
A group of people were asked if they had run a red light in the last year. 162 responded "yes", and 268 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 accurate to at least 3 decimal places
Solution
To find the probability, we need to divide the number of people who responded "yes" by the total number of people surveyed.
Step 1: Add the number of people who responded "yes" and "no" to find the total number of people surveyed.
162 (yes) + 268 (no) = 430 (total)
Step 2: Divide the number of people who responded "yes" by the total number of people surveyed.
162 (yes) / 430 (total) = 0.3767
So, the probability that a person chosen at random has run a red light in the last year is approximately 0.377 or 377/1000 when rounded to three decimal places.
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