Suppose you have a chance to be on the game show "Let's Make a Deal" which was originally hosted by Monty Hall, the current version is hosted by Wayne Brady. You are given a choice to select one of three doors, behind one is a new car; behind the other two are gag prizes (of little or no value compared to a new car). You select door number 1. The host decides to open up door number 2 to reveal a gag prize. The car, then, is behind the door you chose (number 1) or door number 3. He now offers you the chance to switch to door number 3. The question is, do you switch or stay with your original selection and if you switch, does it improve your chances?
This probability riddle / problem has prompted many debates over the years. Many people, including some logicians, have disagreed with the answer and later changed their minds. Think about it and see if you can come up with a plausible answer!!
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