Why is the Monty Hall problem so frustrating?
The Monty Hall problem has confused people for decades. In the game show, Let’s Make a Deal, Monty Hall asks you to guess which closed door a prize is behind. The answer is so puzzling that people often refuse to accept it! The problem occurs because our statistical assumptions are incorrect.
Who created the Monty Hall problem?
Marilyn vos Savant
The Monty Hall problem, introduced by Marilyn vos Savant in 1990, may be summarised as follows: A car is equally likely to be behind one of three doors. You select one of the three doors (say, Door #1).
What do you need to know about the Monty Hall problem?
The Monty Hall problem is a counter-intuitive statistics puzzle: There are 3 doors, behind which are two goats and a car. You pick a door (call it door A). You’re hoping for the car of course. Monty Hall, the game show host, examines the other doors (B & C) and opens one with a goat.
Who is the host of the Monty Hall game show?
Monty Hall, the game show host, examines the other doors (B & C) and opens one with a goat. (If both doors have goats, he picks randomly.) Here’s the game: Do you stick with door A (original guess) or switch to the unopened door?
What does two doors mean in Monty Hall?
You’re probably muttering that two doors mean it’s a 50-50 chance. Ok bub, let’s play the game: Try playing the game 50 times, using a “pick and hold” strategy. Just pick door 1 (or 2, or 3) and keep clicking. Click click click. Look at your percent win rate. You’ll see it settle around 1/3.
Why did Monty pick a goat in Monty Hall?
Suppose your friend walks into the game after you’ve picked a door and Monty has revealed a goat — but he doesn’t know the reasoning that Monty used. He sees two doors and is told to pick one: he has a 50-50 chance! He doesn’t know why one door or the other should be better (but you do).