In this version of the Monty Hall problem, there are 4 doors with a car behind one of them and goats behind the other 3. You pick a door. Monty then shows you two doors that have goats behind them. He then asks you if you want to stay with your original pick or switch to the unopened door. Let A be the event that you win the car. Let B be the event that you stay with your original pick. What is p(AB)?

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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In this version of the Monty Hall problem, there are 4 doors with a car behind one of
them and goats behind the other 3. You pick a door. Monty then shows
you two doors that have goats behind them. He then asks you if you want to stay
with your original pick or switch to the unopened door.
Let A be the event that you win the car.
Let B be the event that you stay with your original pick.
What is p(A | B)?
1/4
1/3
1/2
2/3
3/4
Transcribed Image Text:In this version of the Monty Hall problem, there are 4 doors with a car behind one of them and goats behind the other 3. You pick a door. Monty then shows you two doors that have goats behind them. He then asks you if you want to stay with your original pick or switch to the unopened door. Let A be the event that you win the car. Let B be the event that you stay with your original pick. What is p(A | B)? 1/4 1/3 1/2 2/3 3/4
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