A group of people were asked if they had run a red light in the last year. 206 responded "yes", and 184 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
206/(206+184)
To find the probability of a person chosen at random having run a red light in the last year, we need to use the given information.
The total number of people surveyed is the sum of those who responded "yes" and those who responded "no":
Total respondents = 206 + 184 = 390
The number of people who responded "yes" is 206.
To calculate the probability, we use the formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the favorable outcome is a person who responded "yes" (206), and the total number of outcomes is the total number of respondents (390).
So, the probability that a person chosen at random has run a red light in the last year is:
Probability = 206 / 390 ≈ 0.5282 (rounded to four decimal places)
Therefore, the probability is approximately 0.5282, or 52.82%.