Question

The bumper car ride at the state fair has 2 red cars, 4 green cars, an for the ride and is assigned a the probability that both events A and B occur. Express your answer your answer to the nearest tenth d 2 blue cars. Garth is first in line car at random. Patty is next in line and is randomly assigned a car. Find as a percent. If necessary, round

Event A: Garth will drive a red bumper car.
Event B: Patty will drive a red bumper car.

a. 6.3%
b. 25%
c. 96.4%
d. 3.6%.

Answer 1

a) 3.6%

Explanation:

The given question mixed up, below is the correct question:

The bumper car ride at the state fair has 2 red cars, 4 green cars, and 2 blue cars. Garth is first in line for the ride and is assigned a car at random. Patty is next in line and is randomly assigned a car. Find the probability that both events A and B occur. Express your answer as a percent. If necessary, round your answer to the nearest tenth.

Calculation:

Given that the state fair has 2 red cars, 4 green cars and 2 blue cars.

There are therefore 2+4+2 = 8 cars in total.

Probability that Events A occurs P(A) =
`(2)/(8)` = 4

Probability that Events B occurs P(B) =
`(1)/(7)`

Probability that Events A and B occur P(A ∩ B) =
`(2)/(8)` ×
`(1)/(7)` =
`(2)/(56)` = 0.0357 = 3.57% ≈ 3.6%

Therefore, the probability that both events A and B occur is 3.6%