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 switch to the unopened door. What is p(A | B)?

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 switch to the unopened door. What is p(A | B)?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 20E: Decide whether the following pairs of events are dependent or independent. C is the event that it...

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