To find the fraction of cars in the used-car lot that are both gray and electrically powered, we need to find two fractions: the fraction of cars that are gray and the fraction of gray cars that are electrically powered.
First, let's find the fraction of cars that are gray. We are given that 2/5 of the cars in the lot are gray. Therefore, the fraction of gray cars is 2/5.
Next, we need to find the fraction of gray cars that are electrically powered. We are given that 1/3 of the gray cars are electrically powered. So, if we take 1/3 of the 2/5 fraction of gray cars, we can determine the fraction of gray cars that are electrically powered.
(2/5) * (1/3) = 2/15
Therefore, the fraction of the cars on the lot that are both gray and electrically powered is 2/15.