You are a contestant starting the final round of your favorite game show. The MC asks you to choose your prize from what’s behind doors 1, 2, or 3. The MC explains that only one door has a fabulous prize behind it, and the other two doors will only revel disappointment. You make your choose only to find that the game is not yet over. The MC opens one of the doors that you did not select revealing a ‘goat’. Finally, the MC asks you “Do you want to stay with the door you have already selected, or do you want to switch your choose to the other door?
Which choice would give you a better shot at the ‘fabulous’ prize? (Assuming you are not a big fan of goats.)