Problema Solution

A complete cycle of a traffic light takes 60 seconds. During each cycle, the light is yellow for 5 seconds and red for 30 seconds. At a randomly chosen time, what is the probability that the light will be green?

Answer provided by our tutors

since the light is yellow for 5 seconds and red for 30 seconds and the complete cycle of a traffic light takes 60 seconds the light will be green for 60 - (5 + 30) = 25 seconds


probability that the light will be green = time of green/total time


probability that the light will be green = 25/60


probability that the light will be green = 5/12


probability that the light will be green = 0.4167 or 41.67%