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Simulations Door Number Sim. 1 1 2 3 1 2 2 1 3 1 2 4 1 2 5 2 1 6 1 2 7 1 2 8 2 1 9 1 0 2

Simulations Door Number Sim. 1 1 2 3 1 2 2 1 3 1 2 4 1 2 5 2 1 6 1 2 7 1 2 8 2 1 9 1 0 2

A First Course in Probability (10th Edition)
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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Simulations Door Number O Sim. 1 2 3 1 1 2 2 2 1 3 1 2 4 1 5 2 1 1 2 7 1 2 2 1 9 1 10 1 2 Print Done
Transcribed Image Text:Simulations Door Number O Sim. 1 2 3 1 1 2 2 2 1 3 1 2 4 1 5 2 1 1 2 7 1 2 2 1 9 1 10 1 2 Print Done
Suppose you are a game show contestant who has selected one of three doors after being told that two of them conceal nothing, but that a new red sports car is behind one of the three. Next, the host opens one of the doors you didn't select and shows that there is nothing behind it. He then offers you the choice of sticking with your first selection or switching to the other unopened door. Use the given ten simulations, where 0 and 1 represent no prize and 2 represents the sports car. Assume that you always choose door 1, and that the host will always show the lowest number door that does not have the sports car. Determine whether you should Should you switch doors? (Type an integer or a decimal.) O A. Based on the simulations, you should not switch because the probability that you will win the sports car if you do is , which is less than 0.5. B. Based on the simulations, you should switch because the probability that you will win the sports car if you do is , which is stick or switch. greater than 0.5. Click the icon to view the simulations. C. Based on the simulations, you Simulations should not switch because the probability that you will win the sports car if you do is which is less than 0.05.
Transcribed Image Text:Suppose you are a game show contestant who has selected one of three doors after being told that two of them conceal nothing, but that a new red sports car is behind one of the three. Next, the host opens one of the doors you didn't select and shows that there is nothing behind it. He then offers you the choice of sticking with your first selection or switching to the other unopened door. Use the given ten simulations, where 0 and 1 represent no prize and 2 represents the sports car. Assume that you always choose door 1, and that the host will always show the lowest number door that does not have the sports car. Determine whether you should Should you switch doors? (Type an integer or a decimal.) O A. Based on the simulations, you should not switch because the probability that you will win the sports car if you do is , which is less than 0.5. B. Based on the simulations, you should switch because the probability that you will win the sports car if you do is , which is stick or switch. greater than 0.5. Click the icon to view the simulations. C. Based on the simulations, you Simulations should not switch because the probability that you will win the sports car if you do is which is less than 0.05.
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