Question
Part 1: PrepareRead this scenario: You're on the game show Let's Make A Deal looking at 3 doors. Behind one is a brand-new car. Behind
Part 1: PrepareRead this scenario:
You're on the game show "Let's Make A Deal" looking at 3 doors. Behind one is a brand-new car. Behind the others are goats! You get to choose one door: if it's the car, you win! You choose Door #1. But before he unveils its contents, Monty opens Door #2 and reveals a goat. You may have picked the right door! Monty asks if you'd like to make a deal. If you want, you can switch to Door #3. What would switching do: improve your odds, worsen your odds, or leave them the same?
When you choose Door #1, your odds of winning are clearly 1/3. Therefore, the odds that the prize is behind Door #2 or Door #3 is 2/3. When Monty reveals that there is nothing behind Door #2, it doesn't change the original probabilities. There is still a 2/3 chance that the prize is behind door two or three. (Knowing the contents of door two doesn't change the odds once you've started playing.) Therefore, door three now has a 2/3 odds of winning.
Answer each question:
1) Before you watched the video, did you think you should stay or switch.
2) After you watched the video, did you change you mind? Explain your reasoning.
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