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

Answer:

a)  3.6%

Step-by-step 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) = $\frac{2}{8}$ = 4

Probability that Events B occurs P(B) = $\frac{1}{7}$

Probability that Events A and B occur P(A ∩ B) = $\frac{2}{8}$ × $\frac{1}{7}$ = $\frac{2}{56}$ = 0.0357 = 3.57%  ≈ 3.6%

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