Graded math discussion:The Monty Hall Problem

Graded Discussion: The Monty Hall Problem
Requirements:
A minimum of two posts is required.
You must give a detailed explanation for each part in your first post to get full credit. Use complete sentences, correct punctuation, and correct grammar.
You will be able to see other students' posts once you post your own solution. Review their responses to determine if they agree with your own.
For your second post, reply to a classmate's post.
Complete required posts by the posted deadline.

Part 1: Prepare
Read 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? Answer this question on a piece of paper BEFORE viewing the following video.
Watch the video:
https://youtu.be/2Kgud9QcZs4
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 you've started playing.) Therefore, door three now has a 2/3 odds of winning.
Part 2: First Post

Title Your Post: Students name Monty Hall Problem Post
Answer each question:
1) Before you watched the video, did you think you should stay or switch. (4 points)
2) After you watched the video, did you change you mind? Explain your reasoning. (4 points)
Part 3: Second and Third Posts
Second and Third Posts (2 points): Read and reply substantively to two classmates' posts.