1.4 Exercise 5

Two persons play a game consecutively until one of them is successful or there are ten unsuccessful plays. Let E_i be the event of a success on the ith play of the game. Let $A , B , C$ be the respective events that player one, player two, or neither wins. Write an expression for each of these events in terms of the events E_i, $1 \leq i \leq 10$.