This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
This is a game for two people. Taking alternate turns, choose a whole number from 1 to 8. Keep a running total. (For example, if you pick 2 and your opponent picks 6, the total is now 8. Then maybe you pick 5, so now that total is 13, and so on.) The object of the game is to make the score exactly 64 on your turn. (If it is your turn and the running total at that point is 62, you would say 2, making the score 64, and you would be the winner.) You are going to choose the first number. What number should you pick to guarantee a win for yourself, and what strategy should you follow?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
