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, Maonty 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 yvou want, you can switch to Door #3. What would switching do: improve your odds, worsen your odds, or leave them the same? Answer this question on a piece of paper BEFORE viewing the following video. Read the explanation: 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 yvou've started playing.) Therefore, door three now has a 2/3 odds of winning. 1) [2 points] Before you watched the video, did you think you should stay or switch. 2) [2 points] After you watched the video, did you change your mind? Explain YOur reasoning