D BI MARKS) wing questions. Show any work and calculation. No marks will be allocated for answers without work. I. (4 Marks) Eunice and Joseph play a game that Eunice calls the "race to 61. Eunice goes first, and the players take turns choosing numbers between one and eight. On each turn, they add the new number to a running total. The player who brings the total exactly to 61 loses the game. b. If both players play optimally, who will win the game? Does this game have a first-mover advantage? Explain, (2 Marks) What are the optimal strategies (complete plans of action) for each player? (2 Marks)