We are told that a student randomly selected 65 vehicles and found that 9 were black, 10 were blue, 13 were brown, 7 were green, 12 were red, and 14 were a variety of other colors.
Recall that the experimental probability of an event measures the likelihood that the event occurs based on the actual results of an experiment.
P(Event)= Number of times the event occurs/Number of times the experiment is done
We want to find the probability of selecting a car that is not green. Note that this is the complement of selecting a car that is green. The sum of the probability of an event and the probability of its complement is 1.
P(Event)+P(Not event)=1
Let's start by finding the probability of selecting a green car, which will be our event. The number of times the event occurs is the number of green cars, 7, and the number of times the experiment is done is the total number of cars, 65.
P( Green)= Number of greencars/Number of cars= 7/65
The experimental probability of selecting a green car is 765. Let's now find the probability of its complement, which is selecting a car that is not green.