You are a contestant on a game show. There are three closed doors in front of you. The game show host tells you that behind one of these doors is a million dollars in cash, and that behind the other two doors there are trashes. You do not know which doors contain which prizes, but the game show host does. The game you are going to play is very simple: you pick one of the three doors and win the prize behind it. After you have made your selection, the game show host opens one of the two doors that you did not choose and reveals trash. At this point, you are given the option to either stick with your original door or switch your choice to the only remaining closed door. To maximize your chance to win a million dollars in cash, should you switch? Choices: A) Yes B) No C) It doesn't matter because the probability for you to win a million dollars in cash stays the same no matter if you switch or not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
icon
Related questions
Question
You are a contestant on a game show. There are three closed doors in front of you. The game show host tells you that behind one of these
doors is a million dollars in cash, and that behind the other two doors there are trashes. You do not know which doors contain which prizes,
but the game show host does.
The game you are going to play is very simple: you pick one of the three doors and win the prize behind it. After you have made your
selection, the game show host opens one of the two doors that you did not choose and reveals trash. At this point, you are given the option to
either stick with your original door or switch your choice to the only remaining closed door.
To maximize your chance to win a million dollars in cash, should you switch?
Choices:
A) Yes
B) No
C) It doesn't matter because the probability for you to win a million dollars in cash stays the same no matter if you switch or not.
Transcribed Image Text:You are a contestant on a game show. There are three closed doors in front of you. The game show host tells you that behind one of these doors is a million dollars in cash, and that behind the other two doors there are trashes. You do not know which doors contain which prizes, but the game show host does. The game you are going to play is very simple: you pick one of the three doors and win the prize behind it. After you have made your selection, the game show host opens one of the two doors that you did not choose and reveals trash. At this point, you are given the option to either stick with your original door or switch your choice to the only remaining closed door. To maximize your chance to win a million dollars in cash, should you switch? Choices: A) Yes B) No C) It doesn't matter because the probability for you to win a million dollars in cash stays the same no matter if you switch or not.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell