Suppose a Man Has Ordered Twelve 1-Gallon Paint Cans of a Particular

Multiple Choice

Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother's house. Unknown to the man, three of these cans contains an incorrect mix of paint. For this weekend's big project, the man randomly selects four of these 1-gallon cans to paint his mother's living room. Let $x =$ the number of the paint cans selected that are defective. Unknown to the man, $x$ follows a hypergeometric distribution. Find the probability that at least one of the four cans selected contains an incorrect mix of paint.

A) 0.74545
B) 0.50909
C) 0.78182
D) 0.49091