Question 428028
let x = the proportion of people who own 3 or 4 vehicles.
this makes x = the proportion of people who own 2 vehicles.
this makes 2x = the proportion of people who own 1 vehicle.
this makes 4x = the proportion of people who own no vehicles.


the total population is made up of x + x + 2x + 4x = 8x.


person is selected at random from the population.


probability that the person will own exactly 1 vehicle is 2x / 8x = 1/4.


let's put this into numbers and see if it holds up.


assume 100 people own 3 or more vehicles.
you get 100 more people who own exactly 2 vehicles.
you get 200 more people who own exactly 1 vehicle.
you get 400 more people who own no vehicles.


total population is 800 people.


pick a person at random.


probability that the person owns exactly 1 vehicle is 200 / 800 = 1/4