A famous problem in probability
, using the game show
"Let's Make a Deal
", hosted by Monty Hall
as a model.
This problem was made famous
by Marilyn vos Savant
in a column in Parade
The problem is as such: There are three doors. Behind each is a prize. Two of the prizes are worthless, and the one remaining prize is valuable. Say two of the doors hide goats, and one door hides a new car.
Monty asks you to pick one of the doors, and you will win the prize behind it.
Here's the catch ... When you pick a door, Monty, knowing which door the car is behind, will open up a door with a goat behind it. For example, if you pick door #2, Monty will open up either door #1 or door #3, to reveal a goat.
Then you are asked if you want to switch your choice to the other unopened door. Is it advantageous to switch?
Monty Hall Problem Solution