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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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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