A not very skilled dart player throws two darts at the board pictured in the figure below. Assume that his throws are independent and that the probability of a dart landing in any particular region is proportional to the area of that region. Furthermore, assume that his final score is defined to be the product of the points assigned to the regions where the two darts land. Figure 3d a) Show that the sample space contains a total of 9 outcomes. b) What is the probability that he earns a score of 4?