You are on a game show where there are three boxes from which to select your price. Two of the boxes contain a pet goldfish, the third box contains keys to a new car. The host says that once you pick a box, he'll open one of the boxes you didn't pick to reveal a goldfish. Then, you have the option of either staying with your box or switching to the unopened box.

1. 1. Do you switch or stay? Why?
   2. Explain the probability concepts behind your selection.
   3. What are the odds that you will win the car if you switch? What are the odds that you will win the car if you stay?