Logicians Struggle to Crack Cookie Conundrum: Can You Solve It?
Imagine three friends - Andy, Bea, and Celine - standing in front of a jar containing 10 cookies. The objective is simple: each friend takes turns reaching into the jar to grab as many cookies as possible without ending up with the most or the least amount. Sounds straightforward, right? Think again.
According to a recent puzzle from World Logic Day, these three friends are determined to outsmart one another without communicating or forming alliances. Their goal is to maximize their cookie haul while avoiding the worst-case scenario: finishing with jointmost or joint-least cookies.
The problem boils down to finding a solution that satisfies both conditions simultaneously. The friends can take any number of cookies on each turn, but they must act rationally and in their best interests.
After analyzing various scenarios, it appears that Andy will take 4 cookies, Bea will snatch all the remaining cookies (6), and Celine will come out empty-handed. Why does this solution work?
If Bea takes too few cookies, she'll end up with fewer than her friends or the most cookies, which violates condition one. Conversely, if Bea grabs all the cookies, Andy will have more than he needs, also failing to meet condition one.
For their part, Celine is left without any cookies because taking a few cookies would put her in the middle, while taking too many would result in having fewer cookies than Andy.
As for how this puzzle relates to Mr. Spock from Star Trek's world-famous phrase "Fascinating," it's clear that even the most logical of beings like Spock may struggle with such seemingly simple yet deceptively complex problems.
Will you be able to crack the code and emerge victorious in this cookie conundrum?
Imagine three friends - Andy, Bea, and Celine - standing in front of a jar containing 10 cookies. The objective is simple: each friend takes turns reaching into the jar to grab as many cookies as possible without ending up with the most or the least amount. Sounds straightforward, right? Think again.
According to a recent puzzle from World Logic Day, these three friends are determined to outsmart one another without communicating or forming alliances. Their goal is to maximize their cookie haul while avoiding the worst-case scenario: finishing with jointmost or joint-least cookies.
The problem boils down to finding a solution that satisfies both conditions simultaneously. The friends can take any number of cookies on each turn, but they must act rationally and in their best interests.
After analyzing various scenarios, it appears that Andy will take 4 cookies, Bea will snatch all the remaining cookies (6), and Celine will come out empty-handed. Why does this solution work?
If Bea takes too few cookies, she'll end up with fewer than her friends or the most cookies, which violates condition one. Conversely, if Bea grabs all the cookies, Andy will have more than he needs, also failing to meet condition one.
For their part, Celine is left without any cookies because taking a few cookies would put her in the middle, while taking too many would result in having fewer cookies than Andy.
As for how this puzzle relates to Mr. Spock from Star Trek's world-famous phrase "Fascinating," it's clear that even the most logical of beings like Spock may struggle with such seemingly simple yet deceptively complex problems.
Will you be able to crack the code and emerge victorious in this cookie conundrum?