The Spartan store sells shirts in only two colors, green (G)and white (W). The stores sells exactly the same number of green shirts and white shirts, meaning there is exactly the a chance that when someone buys a shirt it will be green and a chance it will be white. Three customers come into the store and each buys one shirt. There are eight possible arrangements for the colors of shirts they buy. For example, WGG would mean the first customer bought a white shirt and the second and third customer bought green shirts. a. List all eight possible arrangement for the way the three customers bought shirts.

b. What is the probability of any one of these arrangements?

c. Let X be the number of green shirts bought by the three customers. What is the probability that X = 2? (P(X =2))

d. Give the probability distribution for X. (All values of X and the probabilities.)