Here is a modified version of the Monty Hall problem: You're on a game show, given 5 doors. Behind one door is a car, behind others are goats. You select a door, and the host, who knows everything, opens another door which has a goat at random, and then asks you whether you want to switch doors. Suppose that you select door 1, and afterwards the host opens door 5. What is the conditional probability that the car is behind door 37

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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Select one:
O a. 1
O b. 1/1
Oc 13
O d. 3/
O e.
Of.
Oh.
15
10
4
Transcribed Image Text:Select one: O a. 1 O b. 1/1 Oc 13 O d. 3/ O e. Of. Oh. 15 10 4
Here is a modified version of the Monty Hall problem: You're on a game show, given 5 doors. Behind one door is a car, behind others
are goats. You select a door, and the host, who knows everything, opens another door which has a goat at random, and then asks you
whether you want to switch doors.
Suppose that you select door 1, and afterwards the host opens door 5. What is the conditional probability that the car is behind door 3?
Transcribed Image Text:Here is a modified version of the Monty Hall problem: You're on a game show, given 5 doors. Behind one door is a car, behind others are goats. You select a door, and the host, who knows everything, opens another door which has a goat at random, and then asks you whether you want to switch doors. Suppose that you select door 1, and afterwards the host opens door 5. What is the conditional probability that the car is behind door 3?
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