Suppose that you select door 1, and afterwards the host opens door 4. What is the conditional probability that the car is behind door 3?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Time lert 0:35:29
Here is a modified version of the Monty Hall problem: You're on a game show, given 4 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 4. What is the conditional probability that the car is behind door 3?
Select one:
O a. 2/3
О b. 3/7
O. 1/3
O d. 2/5
O e. 1/4
O f. 1/2
O g. 3/8
O h. 5/12
Transcribed Image Text:Time lert 0:35:29 Here is a modified version of the Monty Hall problem: You're on a game show, given 4 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 4. What is the conditional probability that the car is behind door 3? Select one: O a. 2/3 О b. 3/7 O. 1/3 O d. 2/5 O e. 1/4 O f. 1/2 O g. 3/8 O h. 5/12
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