I am curious about how other people think (model) probability questions?
Here is a sample question:
Suppose that each of N men at a party throws his hat into the center of the room. The hats are first mixed up, and then each man randomly selects a hat. What is the probability that none of the men selects his own hat?
- What is your first thought when you see this problem?
- Do you see images in your head? If so, what kind of images show up in your head? Are there images of hats in a bag for example?
- How do you model the problem?
- Why do you choose your model?
- What's your answer?