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 motherʹs house. Unknown to the man, three of these cans contains
An incorrect mix of paint. For this weekendʹs big project, the man randomly selects four of these
1-gallon cans to paint his motherʹs 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 none of the four cans selected contains an incorrect mix of paint.

A) 0.25455
B) 0.50909
C) 0.01818
D) 0.21818