A group of people were asked if they had run a red light in the last year where 105 responded "yes," and 393 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Round your answer to four decimal places.
Final Answer: The probability that a randomly chosen person has run a red light in the last year is approximately \(\boxed{0.2108}\).
Step 1 :A group of people were asked if they had run a red light in the last year. The responses were as follows: 105 people responded 'yes', and 393 people responded 'no'.
Step 2 :The total number of people surveyed is the sum of those who responded 'yes' and those who responded 'no'. So, the total number of people surveyed is \(105 + 393 = 498\).
Step 3 :The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcome is a person who has run a red light in the last year, and the total number of outcomes is the total number of people surveyed.
Step 4 :So, the probability that a randomly chosen person has run a red light in the last year is \(\frac{105}{498} = 0.21084337349397592\).
Step 5 :Rounding this to four decimal places, we get \(0.2108\).
Step 6 :Final Answer: The probability that a randomly chosen person has run a red light in the last year is approximately \(\boxed{0.2108}\).