A cabinet has three drawers. In the first drawer there are 3 gold balls. In the second drawer there are 3 silver balls. In the third drawer there are 3 silver balls and 2 gold balls An experiment consists of choosing a drawer, and then choosing a ball inside it. Each drawer is equally likely to be chosen, and within each drawer, each ball is equally likely to be chosen. For example, P(A gold ball is chosen | Drawer 3 is chosen) 2/5 Given that a gold ball is chosen, what is the probability that the drawer with 3 gold balls was selected? Now what if all the balls are numbered from 1-3 based on which drawer they were in, and then taken from the drawers and placed into a large pile of 11 balls? Each ball in this pile is now equally likely to be chosen, unlike in the previous part. Given that a gold ball is chosen, what is the probability that the gold ball came from the drawer with 3 gold balls?