The bumper car ride at the state fair has 2 red cars, 2 green cars, and 2 blue cars. Mike is first in line for the ride and is assigned a car at random. Adam is next in line and is randomlyh assigned a car. What is the probability that both Mike and Adam will drive a red bumper. Answer must be in a percent. Round answer to nearest 10th and SHOW WORK.
Mike = 2/6 for red car
Adam = 1/6 for red car, because Mike has already chosen one.
The probability of all/both events occurring is found by multiplying the probabilities of the individual events.
To find the probability that both Mike and Adam will drive a red bumper car, we need to determine the probability of each event happening.
Let's first find the probability that Mike gets a red car. There are a total of 6 cars, with 2 being red. So, the probability that Mike gets a red car is 2/6 = 1/3.
After Mike gets his car, there are now only 5 cars left, with 1 red car remaining out of the total 5 cars. So, the probability that Adam gets a red car is 1/5.
To find the probability of both events happening, we multiply the probabilities together:
(1/3) * (1/5) = 1/15 ≈ 0.067
Now, to express this as a percentage, we multiply it by 100:
0.067 * 100 = 6.7%
So, the probability that both Mike and Adam will drive a red bumper car is approximately 6.7%.
To find the probability of both Mike and Adam driving a red bumper car, we need to determine the total number of possible outcomes and the number of favorable outcomes.
1. Total Number of Outcomes:
Since Mike is the first in line, he can be assigned any of the 6 cars available. Similarly, Adam can also be assigned any of the remaining 5 cars. So, the total number of possible outcomes is 6 * 5 = 30.
2. Number of Favorable Outcomes:
As there are only 2 red bumper cars, both Mike and Adam need to be assigned a red car. The number of ways they can both get a red bumper car is 2 * 1 = 2.
3. Probability Calculation:
The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Probability = 2 / 30
Dividing 2 by 30, we get the probability as 0.0667 (rounded to 4 decimal places).
To convert the probability to a percentage, we multiply by 100:
Probability (in percent) = 0.0667 * 100
Probability (in percent) ≈ 6.67% (rounded to the nearest tenth).
So, the probability that both Mike and Adam will drive a red bumper car is approximately 6.67%.