Question

A used car dealer sells SUVs and cars. Of all the vehicles, 70% are cars. Of all the vehicles, 20% are red cars. What is the probability that a car chosen at random is red? Round your answer to the nearest tenth of a percent.

Answer 1

The probability that a car chosen at random is red in percent is 28.6%.

Explanation:

Let the total number of vehicles be 100. So that:

Of all the vehicles, 70% are cars =
`(70)/(100)` × 100

= 70

Therefore, 70 of the vehicles are cars and 30 are SUVs.

Of all the vehicles, 20% are red cars =
`(20)/(100)` × 100

= 20

Therefore, 20 of the cars are red and 50 had other colors.

Pr(a car chosen at random is red) =
`(number of red cars)/(number of cars)`

=
`(20)/(70)`

= 0.285714

= 0.29

The probability of a car chosen at random in percent is;

=
`(20)/(70)` × 100

= 28.5714

= 28.6%

The probability that a car chosen at random is red in percent is 28.6%.