Rerun the Monty Hall simulation with the following variation. This time chere are four doors. Behind three of the doors are goats. One has a car. Contestant picks one door. The host then reveals two doors that contain goats (don't ever reveal the door the contestant initially picked.) Ask if the contestant wants to switch. To streamline this exercise, the contestant will ALWAYS switch. Run this simulation 40 times. A. How many times did the contestant win? B. What is the empirical probability of winning? Write a complete probability statement

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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Rerun the Monty Hall simulation with the following variation. This time
there are four doors. Behind three of the doors are goats. One has a car.
Contestant picks one door. The host then reveals two doors that contain
goats (don't ever reveal the door the contestant initially picked.) Ask if the
contestant wants to switch. To streamline this exercise, the contestant will
ALWAYS switch. Run this simulation 40 times.
A. How many times did the contestant win?
B. What is the empirical probability of winning? Write a complete
probability statement.
Transcribed Image Text:Rerun the Monty Hall simulation with the following variation. This time there are four doors. Behind three of the doors are goats. One has a car. Contestant picks one door. The host then reveals two doors that contain goats (don't ever reveal the door the contestant initially picked.) Ask if the contestant wants to switch. To streamline this exercise, the contestant will ALWAYS switch. Run this simulation 40 times. A. How many times did the contestant win? B. What is the empirical probability of winning? Write a complete probability statement.
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