A police officer pulls you over and asks to search your vehicle because he suspects you have illegal drugs inside your car. Since he doesn't have reasonable suspicion to search your car, legally he needs your permission to do so. Given this, the ranger tells you the following: "If you give me permission to search the car, I promise I will do a quick search that would just take 5 minutes. Ifl don't find anything, you can go on your way. But, if you don't give me permission, I will hold you here until I get a K9 unit to bring some dogs and sniff around your car without having to go in. It takes half an hour for the K9 unit to get here." You are sure any search of your car will turn up nothing. But, you don't trust the officer's promise of a quick search if you give him a person, You are concerned the officer could be lying and once you give him the permission, he could do a thorough search that could take at least 2 hours of your time (much longer than the time it takes to wait for the K9 unit). Here is a possible decision tree for this game, using Y for "You" and O for the police officer: 3,2 Quick search Allow 1,3 Long Search search Y Wait for K9 2,1

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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A police officer pulls you over and asks to search your vehicle because he suspects you
have illegal drugs inside your car. Since he doesn't have reasonable suspicion to search
your car, legally he needs your permission to do so. Given this, the ranger telis you the
following:
"If you give me permission to search the car, I promise I will do a quick search
that would just take 5 minutes. IfI don't find anything, you can go on your way.
But, if you don't give me permission, I will hold you here until I get a K9 unit to
bring some dogs and sniff around your car without having to go in. It takes half
an hour for the K9 unit to get here."
You are sure any search of your car will turn up nothing. But, you don't trust the officer's
promise of a quick search if you give him a person. You are concerned the officer could
be lying and once you give him the permission, he could do a thorough search that could
take at least 2 hours of your time (much longer than the time it takes to wait for the K9
unit).
Here is a possible decision tree for this game, using Y for "You" and O for the police
officer:
3,2
Quick
search
Allow
1,3
Long
Search
search
Y
Wait
for K9
2,1
Given this tree, is the officer's promise to not do a long search believable?
O It depends
O No
O Impossible to say
Yes
Transcribed Image Text:A police officer pulls you over and asks to search your vehicle because he suspects you have illegal drugs inside your car. Since he doesn't have reasonable suspicion to search your car, legally he needs your permission to do so. Given this, the ranger telis you the following: "If you give me permission to search the car, I promise I will do a quick search that would just take 5 minutes. IfI don't find anything, you can go on your way. But, if you don't give me permission, I will hold you here until I get a K9 unit to bring some dogs and sniff around your car without having to go in. It takes half an hour for the K9 unit to get here." You are sure any search of your car will turn up nothing. But, you don't trust the officer's promise of a quick search if you give him a person. You are concerned the officer could be lying and once you give him the permission, he could do a thorough search that could take at least 2 hours of your time (much longer than the time it takes to wait for the K9 unit). Here is a possible decision tree for this game, using Y for "You" and O for the police officer: 3,2 Quick search Allow 1,3 Long Search search Y Wait for K9 2,1 Given this tree, is the officer's promise to not do a long search believable? O It depends O No O Impossible to say Yes
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