Each time a fisherman casts his line, a fish is caught with probability p, independent of whether a fish is caught on any other cast of the line. The fisherman will fish all day until a fish is caught and then he will quit and go home. Let Ci denote the event that on cast i the fisherman catches a fish. Draw the tree for this experiment and find P[C1], P[C2], and P[Cn] as functions of p.