Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. Behind the 4 doors, 3 of them have mules and one has a car. Once you choose your door, the host will open two of the doors with the mules. This means that there are 2 unopened doors left, 1 with a mule 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.

Suppose you’re on a game show like Let’s Make A Deal and there are 4 doors to choose from. Behind the 4 doors, 3 of them have mules and one has a car. Once you choose your door, the host will open two of the doors with the mules. This means that there are 2 unopened doors left, 1 with a mule 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. Behind the 4 doors, 3 of them have mules and one has a car. Once you choose your door, the host will open two of the doors with the mules. This means that there are 2 unopened doors left, 1 with a mule 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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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