Clara is competing on the Food Network show, "Chopped." She has prepared twelve deep-fried feta fritters for her entry in the competition. Of the twelve fritters, three will go onto Judge A's plate, three will go onto Judge B's plate, and three will go onto Judge C's plate. The remaining three will go on a display plate. Suppose she has undercooked two of them. (a) Clara will win the round if none of the judges get an undercooked fritter. Find the chance that she wins the round. (b) Judge C is well-known for always chopping contestants who undercook their food. What is the probability that Judge C gets at least one undercooked fritter? (c) Suppose she only undercooked one fritter. Redo parts (a) and (b) with this new information