Refer to the Chance (Fall 2000) study of ancient pottery found at the Greek settlement of Phylakopi, presented in Exercise. Of the 837 pottery pieces uncovered at the excavation site, 183 were painted. These painted pieces included 14 painted in a curvilinear decoration, 165 painted in a geometric decoration, and 4 painted in a naturalistic decoration. Suppose 1 of the 837 pottery pieces is selected and examined.
a. What is the probability that the pottery piece is painted?
b. Given that the pottery piece is painted, what is the probability that it is painted in a curvilinear decoration?