We have the next cars:
- 2 red cars
- 2 green cars
- 4 blue cars
Then, there are 8 total cars.
First, Devon will have an assigned car randomly.
The probability that Devon will drive a red bumper car is given by:
P(Devon) = red cars / total cars
Replacing:
P(Devon) = 2/8 = 1/4 = 0.25
Now, the probability for Akira to drive a red bumper car is:
P(Akira)= remaining red cars / remaining total cars
If we suppose that Devon got a red bumper car. Then:
2-1 = 1 red car
8-1 = 7 total cars
Replacing
P(Akira) = 1/7
Finally, The probability of both driving a red bumper car is:
P(Both)= P(Devon) *P(Akira)
Replacing:
P(Both)= 1/4*1/7 =1/26 =0.03
Expressed as a percent : 0.03*100= 3%
Therefore, the probability that both Devon and Akira will drive a red bumper cair is 3%