Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. There are 3 mules and one car behind the four doors. Once you choose your door, the host will open one of the doors with a mule. This means that there are 3 unopened doors left, 2 with mules and 1 with the car. What is the probability of winning the car if you stick to your original choice? What is the probability if you switch to one of the other unopened doors? Explain your answer

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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Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. There are 3 mules and one car behind the four doors. Once you choose your door, the host will open one of the doors with a mule. This means that there are 3 unopened doors left, 2 with mules and 1 with the car. What is the probability of winning the car if you stick to your original choice? What is the probability if you switch to one of the other unopened doors? Explain your answer

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