Assignment:
Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far. The first player repeats this move. They continue this way. The player who makes the score exactly 100 wins.
A. Play the game and figure out a strategy for always winning as the first player.
B. Change the rules so that the goal is 200 and numbers from 1 to 20 can be used.
C. Change the rules so that the goal is 200 and numbers from 5 to 20 can be used.
D. Change the rules so that the goal is 200 and numbers from 3 to 30 can be used.
E. Give a general rule for winning the game if g is the goal and whole numbers from p to q (p
Provide complete and step by step solution for the question and show calculations and use formulas.