Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?Would you stay with your original door selection, or would you switch? Explain your reasoning.What is the probability of winning if you stay with your original door selection?What is the probability of winning if you switch to the other door, after you've been shown the door with a goat?

Answered: Suppose you’re on a game show, and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice?

Would you stay with your original door selection, or would you switch? Explain your reasoning.
What is the probability of winning if you stay with your original door selection?
What is the probability of winning if you switch to the other door, after you've been shown the door with a goat?

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