Question

Karmen is buying a new car. For the exterior, she can choose from three colors---black, gray, or white. For the interior, she can choose between beige and gray. She can also choose between a manual and an automatic transmission. If Karmen picks a car at random, what is the probability of picking a car that has a black exterior and a beige interior? What is the probability of picking a car with a beige interior and an automatic transmission?

Answer 1

The probability of Karmen picking a car with a black exterior and a beige interior is

1/6. The probability of Karmen picking a car with a beige interior and an automatic transmission is

1/4.

Explanation:

The number of possible outcomes from the tree diagram is 12.

Two of the possible outcomes are a car with a black exterior and a beige interior. The probability of Karmen picking a car with a black exterior and a beige interior is , or .

Three of the possible outcomes are a car with a beige interior and an automatic transmission. So, the probability of Karmen picking a car with a beige interior and an automatic transmission is , or .

Answer 2

1/6 and 1/4

Explanation:

Just did this.