Due samuel is buying a new car. he wants either a convertible or a hatchback. both types of cars are available in red, white, or blue and with automatic or standard transmission. list a sample space of all possible choices of cars that are available.

Hello there,

So he has two cars. Each comes in 3 colors and either automatic or standard.

So let's say he has got the convertible. He can get the white automatic or a white standard. Same as red and blue. So there are 6 choices for 1 car.

So let's say he has got the hatchback. He can get the blue with automatic or standard. That goes with white and red as well.

So if he has 2 cars and 6 choices for 1 car he has 12 choices to choose from.

Hope this helped!