Monty Hall Problem -- Set-up #1
Suppose you're on Let’s Make a Deal and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and Monty Hall, who knows what's behind the doors, always opens a door with a goat, say door No. 3. He then says to you, "Do you want to pick door No. 2?"
- Is it to your advantage to switch your choice?
- What are your chances of winning if you switch?
Monty Hall Problem -- Set-up #2
Suppose you're on Let’s Make a Deal and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and Monty Hall, who does NOT know what's behind the doors, opens a door with a goat, say No. 3. He then says to you, "Do you want to pick door No. 2?"
- Is it to your advantage to switch your choice?
- What are your chances of winning if you do not switch? If you do switch?
- How is this problem different from set up #1? What other types of situations would happen that would be different from set up #1?