Of the cars in a used-car lot, 2/5 are the color gray. 2/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered?

Question

Of the cars in a used-car lot, 2/5 are the color gray. 2/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered?

1/15

2/15

4/15

1/2

Answer 1

The total fraction of gray cars on the lot is 2/5.

Out of these gray cars, 2/3 are electrically powered.

So the fraction of cars on the lot that are both gray and electrically powered is:
(2/5) * (2/3) = 4/15

Therefore, the fraction of the cars on the lot that are both gray and electrically powered is 4/15.