154k views
3 votes
Hello! May I please have some help working this out step by step?

Hello! May I please have some help working this out step by step?-example-1
User Fingolfin
by
8.2k points

1 Answer

6 votes

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%

User Jfrank
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories