Your friend hides a dollar bill under one of three plastic cups. Under the other two cups is a paper clip. You get to keep whatever is under the cup you choose, but you don't know which contains the dollar bill. After you choose, your friend lifts one of the other cups to reveal a paper clip and then gives you the option of changing your choice. Should you switch to the other cup?
Your friend hides a dollar bill under one of three plastic cups. Under the other two cups is a paper clip. You get to keep whatever is under the cup you choose, but you don't know which contains the dollar bill. After you choose, your friend lifts one of the other cups to reveal a paper clip and then gives you the option of changing your choice. Should you switch to the other cup?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Question
![Your friend hides a dollar bill under one of three plastic cups. Under the other
two cups
choose, but you don't know which contains the dollar bill. After you choose,
friend lifts one of the other cups to reveal a paper clip and then gives you
is a paper clip. You get to keep whatever is under the cup you
your
the option of changing your choice.
Should you switch to the other cup?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5e18cbe-2086-4486-bcaa-95b482346f76%2F56a3b963-5e02-4894-a38d-1d47d4ecc701%2Fb3ri2qs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Your friend hides a dollar bill under one of three plastic cups. Under the other
two cups
choose, but you don't know which contains the dollar bill. After you choose,
friend lifts one of the other cups to reveal a paper clip and then gives you
is a paper clip. You get to keep whatever is under the cup you
your
the option of changing your choice.
Should you switch to the other cup?
![O A. Yes, because P(win switch) =
B. Yes, because P(win switch) =
C. No, because P(win I switch) =.
D. No, because P (Win | switch) = P (win | stay) =;](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5e18cbe-2086-4486-bcaa-95b482346f76%2F56a3b963-5e02-4894-a38d-1d47d4ecc701%2Fzfau1i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:O A. Yes, because P(win switch) =
B. Yes, because P(win switch) =
C. No, because P(win I switch) =.
D. No, because P (Win | switch) = P (win | stay) =;
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