In a sample of 50 cars at a local dealership, there are 12 red cars and 10 cars with backup cameras. Of the 12 red cars, 4 have backup cameras. If a car is selected at random from the given sample, what is the probability that both of the following are true: the car is not red and does not have a backup camera?
- A
- B
- C
- D
Show the answer
Correct answer: B
Create a chart using the given information and use subtraction to figure out how many cars are not red and do not have a back-up camera:
| Red | Not Red | Total | |
| Back Up Camera | 4 | 6
(10-4) |
10 |
| No Back Up Camera | 32
(38-6) |
||
| Total | 12 | 38
(50-12) |
50 |
The probability of selecting a car that meet both conditions from the total of 50 cars at the dealership is .