Question

The bumper car ride at the state fair has 2 red cars, 2 green cars, and 4 blue cars. Devon is first in line for the ride and is assigned a car at random. Akira is next in line and is randomly assigned a car. What is the probability that both Devon and Akira will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth. I need the work shown please!!

Answer 1

3.57%

Explanation:

There are a total of 8 cars in the bumper car ride, and 2 of them are red. The probability that Devon is assigned a red car is therefore 2/8, or 1/4.

Assuming Devon gets a red car, there will be only 1 red car left out of 7 cars. So the probability that Akira is assigned the remaining red car is 1/7.

The probability that both Devon and Akira get assigned a red car is the product of their individual probabilities, which is:

(1/4) x (1/7) = 1/28

To express this as a percent, we can multiply by 100:

(1/28) x 100 = 3.57%

Therefore, the probability that both Devon and Akira will drive a red bumper car is 3.57%.