Question

The bumper car ride at the state fair has 2 red cars, 5 green cars, and 5 blue cars. Nestor is first in line for theride and is assigned a car at random. Bruce is next in line and is randomly assigned a car. What is theprobability that both Nestor and Bruce will drive a red bumper car? Express your answer as a percent. Ifnecessary, round your answer to the nearest tenth.O 1.5%O 2.8%O 98.5%O 16.7%

Answer 1

Answer:

Probability that both Nestor and Bruce will drive a red bumper car = 1.5%

Step-by-step explanation:

Number of red cars, n(Red) = 2

Number of green cars, n(Green) = 5

Number of blue cars, n(Blue) = 5

Total number of cars, n(Total) = 5 + 5 + 2

n(Total) = 12

Probability that Nestor will have a red bumper car:

P(Nestor, red) = 2/12

P(Nestor, red) = 1/6

After Nestor has been given a red car:

The number of red cars remaining = 2 - 1 = 1

Total number of cars remiaining = 12 - 1 = 11

Probability that Bruce will have a red bumper car:

P(Bruce,red) = 1/11

Probability that both Nestor and Bruce will drive a red bumper car = P(Nestor, red) x P(Bruce,red)

Probability that both Nestor and Bruce will drive a red bumper car = 1/6 x 1/11

Probability that both Nestor and Bruce will drive a red bumper car = 1/66

Probability that both Nestor and Bruce will drive a red bumper car = 0.015

Probability that both Nestor and Bruce will drive a red bumper car = 0.015 x 100%

Probability that both Nestor and Bruce will drive a red bumper car = 1.5%