Modelling the Rules of a Game
Not what you're looking for?
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<q) can be used.
I have tried playing the game about 2 dozen times and still havent figured it out. The teachers told me that there is something you can do to every number to always win, but the only strategy I could figure out is that you want player 2 to always end up with a number 1 higher than the maximum amount they can put. I need help comming up with a strategy without playing the game and what is it for parts A-D.
Purchase this Solution
Solution Summary
A game is modeled using variables. The general rule of winning the game is determined.
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.