Question: Suppose the game in Exercise could, in principle, be played an unlimited number of times. Write an expression for the event D that the game will be terminated with a success in a finite number of times. Write an expression for the event F that the game will never terminate.
Exercise: Two persons play a game consecutively until one of them is successful or there are ten unsuccessful plays. Let Ei 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 Ei, 1 ≤ i ≤10.