6. We have three boxes. One box contains two silver coins, one box contains one silver and one gold, and one box contains two gold coins. We randomly sample a box, and then randomly take a coin out of the box. If we've removed a gold coin, what's the chance that the remaining coin is silver? (a) Give an answer to this, assuming that the boxes are equally likely. What is your sample space S In this case? (b) Give an answer to this, assuming that the boxes are not equally likely, but your outcomes are. What is your sample space S In this case