The Monty Hall Problem
Imagine you are playing the game show, Let's Make a Deal. In the show, your host will ask you to choose one of the three doors. Behind one , and only one door, there is a brand new dream sports car that anyone would want. It is super fast, shiny, bright red and really expensive.
You choose one of the doors and then, your host walks up to another unopened door, opens it , and behind it is a booby prize , which he already knew it was behind it. Your host then asks if you want to stay with the door you chose or switch to the other unopened door.
If you really want the sports car, which choice would give you a higher chance of winning the car?
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1 solution
Relevant wiki: Monty Hall Problem
At first glance, many people would say that the chances are 5 0 / 5 0 , however, if you look deeper into the question and what it's asking, you would understand that the answer is to switch. The answer is to switch because if you were to stay, the chances for you to win is 1 / 3 , however, if you were to switch to the other door, the chances for you to win would be 2 / 3 .
If you would like further understanding, watch this .