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?

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?

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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