1. A seafood omelet will be made with two eggs, a piece of salmon, and a slice of cheese by choosing the items at random from four eggs, two pieces of salmon, and three slices of cheese. One egg, one piece of salmon, and one slice of cheese have gone bad. What is the probability that the omelet will contain at least one bad item?
2. (Coincidence). Three families, each with three members, are lined up at random for a picture. What is the probability that members of each family happen to be together (that is, not separated by someone from another family) in the picture?