Players A and B take turns taking one or two pennies from a pile of pennies. The player to takes the last penny wins. Player A starts, the players always makes the best possible move. If they start with 17 pennies, who wins the game? Why? Justify your answer as best you can!

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Consider the following game:
Players A and B take turns taking one
or two pennies from a pile of pennies.
The player to takes the last penny wins.
Player A starts, the players always
makes the best possible move. If they
start with 17 pennies, who wins the
game? Why? Justify your answer as
best you can!
Transcribed Image Text:Consider the following game: Players A and B take turns taking one or two pennies from a pile of pennies. The player to takes the last penny wins. Player A starts, the players always makes the best possible move. If they start with 17 pennies, who wins the game? Why? Justify your answer as best you can!
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