2. You're facing your friend, Brenda, in a "candy-off" game involving a pile of 100 caramels and one peppermint patty. You LOVE peppermint patties. The game has the following rules: You and Brenda will take turns grabbing at least one and no more than five caramels from the candy pile in each turn. The person who removes the last caramel will also get the peppermint patty. Did I already say, "you love peppermint patties?" (a) Suppose Brenda lets you decide who goes first. There is a strategy to make sure you win the peppermint patty. What is it? (b) Does your strategy change if the pile of caramels starts with 102? How? (c) In part (a) what is the largest number of caramels that Brenda can take, assuming you play your strategy guaranteeing the peppermint patty?
2. You're facing your friend, Brenda, in a "candy-off" game involving a pile of 100 caramels and one peppermint patty. You LOVE peppermint patties. The game has the following rules: You and Brenda will take turns grabbing at least one and no more than five caramels from the candy pile in each turn. The person who removes the last caramel will also get the peppermint patty. Did I already say, "you love peppermint patties?" (a) Suppose Brenda lets you decide who goes first. There is a strategy to make sure you win the peppermint patty. What is it? (b) Does your strategy change if the pile of caramels starts with 102? How? (c) In part (a) what is the largest number of caramels that Brenda can take, assuming you play your strategy guaranteeing the peppermint patty?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you do question 2? I didn't get it. Thanks
Transcribed Image Text:3
2. You're facing your friend, Brenda, in a "candy-off" game involving a pile of 100 caramels
and one peppermint patty. You LOVE peppermint patties. The game has the following
rules: You and Brenda will take turns grabbing at least one and no more than five
caramels from the candy pile in each turn. The person who removes the last caramel
will also get the peppermint patty. Did I already say, "you love peppermint patties?"
^
(a) Suppose Brenda lets you decide who goes first. There is a strategy to make sure
you win the peppermint patty. What is it?
(b) Does your strategy change if the pile of caramels starts with 102? How?
(c) In part (a) what is the largest number of caramels that Brenda can take, assuming
you play your strategy guaranteeing the peppermint patty?
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