Final answer:
The probability that Wayne buys a blue compact car is 1/8 or 0.125.
Step-by-step explanation:
To find the probability that Wayne buys a blue compact car, we need to know the total number of options he has and the number of options that meet his criteria. Wayne has two choices: a compact car or a full-size car. Both choices come in four different colors, including blue. So Wayne has a total of 2 choices x 4 colors = 8 options. Since Wayne wants to buy a blue compact car, there is only 1 option that meets his criteria. Therefore, the probability that Wayne buys a blue compact car is 1/8 or 0.125.