3. The Warden's Doors
Setup
A prize hides behind one of three doors. The other two are empty.
Rules
- You pick a door
- The host opens a different door, revealing it's empty
- You choose: switch to the remaining door, or stay
Question
What is the probability of winning if you switch?
Answer format
Enter a number rounded to 2 decimal places.
Your Answer
Need help?
Hint 1
What is the probability that Vibble's initial choice is correct?
Hint 2
When Vibble first picks a door, what is the combined probability that the donut is behind one of the other two doors?
Hint 3
After the Warden reveals bones behind one door, where does that probability go?