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The bumper car ride at the state fair has 2 red cars, 3 green cars, and 3 blue cars. Janet is first in line for the ride and is assigned a car at random. Sarah is next in line and is randomly assigned a car. What is the probability that both Janet and Sarah will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
96.4%
25%
6.3%
3.6%

Respuesta :

facundo3141592

The probability (in percentage form) is 3.6%, so the correct option is the last one.

How to find the probability?

First, Janet is assigned to a car. We want to find the probability that it is a red car. All the cars have the same probability of being assigned, then the probability of getting a red car is equal to the quotient between the number of red cars and the total number of cars:

p = 2/(8) = 1/4

Now there is 1 red car left and 7 cars in total left.

Sarah is next on line, the probability that she gets a red car will be:

q = 1/7

The joint probability (the probability of both of these events happening) is given by the product of the two individual probabilities, so we get:

P = (1/4)*(1/7) = 0.036

If we multiply this by 100%, we get:

P = 100%*0.036 = 3.6%

So the correct option is the last one.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

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