First, let’s put aside that the video is titled Game Theory, the class is named Nonlinear Equations (to solve polynomials and the question asked is about Probability Theory.
The math involved has since been called the Monty Hall Problem for the game show (host) who made it infamous.
Whenever you’re faced with something you can’t readily understand, get AI to “Feynman Technique” it for you, which simply means getting it to explain it to you as if you’re a SMART 5th grader.
Here is how “variable change” works:
🚪 Step 1: Your First Pick
- There are 3 doors.
- 1 has a car, and 2 have goats.
- When you point to a door, you only have a 1-in-3 (33%) chance of guessing right.
- That means there is a 2-in-3 (67%) chance that the car is hidden in the other group of doors you didn’t pick.
🐐 Step 2: The Host Changes the Game
- Now, the game show host (who knows exactly where the car is) opens one of the other doors to reveal a goat.
- This is where the variable change happens. The host has just used his secret knowledge to filter out a bad choice for you.
🔄 Step 3: Why You Must Switch
Most people think it’s now a 50/50 coin flip between the last two doors. But it isn’t!
- Your original door is still trapped with its original 33% chance. Opening a different door doesn’t magically change your past guess.
- But the remaining group of doors still holds that massive 67% chance. Since the host already opened the goat door in that group, that entire 67% chance gets funneled into the one last unopened door.
The Big Secret
Think of it this way:
If you choose to switch, you only lose if you picked the car on your very first try. Since you are much more likely to pick a goat first (2 out of 3 times), switching means you will win the car 2/3 of the time!
What many people are doing with AI is using it to do THE THINKING for them. By so doing, their ‘thinking muscles” atrophy which makes deep thought harder and harder.
So yes, ‘the machines’ are making (some of us) dumber!
But you have a CHOICE, to use AI to get SMARTER a LOT QUICKER than ever before. Choose wisely!
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