The Monty Hall Paradox
Imagine you are on a game show called "Let's Make a Deal" with Monty Hall. You won a great prize. In fact, it was the most valuable prize for the day. At the end of the show, Monty Hall offers you an opportunity to give up what you've already won, and go for the Big Deal. However, this one was special. Instead of the typical $20,000-30,000 prize and two lesser prizes, this Big Deal was worth over $100,000, but the other two doors contained zonks. Regardless of your odds, you accept.
You are given the choice of three doors. When you choose your door, another door opens and it is revealed to be a zonk. You are now given the choice of either keeping the door you originally chose or switching to the remaining closed door. What would you choose?
Logically, it would not matter, as you would now have a 50% of getting the prize. However, mathematically, the chances of winning are much higher if you switched your door. The real math is a bit more complicated, but essentially, because there are only two to choose from, you can only switched to the prize if you initially picked a zonk and vice versa. Because there is a 67% chance that you picked a zonk, there is a 67% chance that you will switched to the prize. I have created a program using JavaScript to test this, and, well... check it out! Because of the size of this program, Wix will not allow me to fit it on the site.