Question

Out of 100 car owners surveyed, some own SUVs and some don't. 33 of the SUV owners bought their car used, while 13 of the non-SUV owners bought their car used. What is the probability that a randomly selected person from the survey bought a new car?

(A) 0.20
(B) 0.30
(C) 0.40
(D) 0.50

Answer 1

The probability that a randomly selected person from the survey bought a new car is 0.54 based on the given information about used car purchases among the 100 car owners.

Step-by-step explanation:

To calculate the probability that a randomly selected person from the survey bought a new car, we need to determine how many people bought used cars and subtract from the total. The survey includes 100 car owners, with 33 SUV owners and 13 non-SUV owners buying used cars, which adds up to 33 + 13 = 46 people who bought used cars. To find those who bought new cars, we subtract the used car owners from the total: 100 - 46 = 54. Therefore, the probability that a person bought a new car is 54 out of 100 or 0.54.