Another counter-intuitive example of mathematics.
Imagine you are on a game show, and you are presented with 3 doors. Behind two of the doors, there are goats (the booby prize). Behind the other door, there is a car. Your job is to win the car.
You select a door at random. The host of the show, Monty Hall, who knows the location of the car and goats, then opens one of the other doors, so that a goat is revealed. He then asks you whether you'd like to stick with your original choice, or to switch to the other closed door.
The question is, is there any advantage to switching? Or, is there any advantage to sticking with your original choice? Or, is there no advantage either way?
The answer may surprise you:
Imagine you are on a game show, and you are presented with 3 doors. Behind two of the doors, there are goats (the booby prize). Behind the other door, there is a car. Your job is to win the car.
You select a door at random. The host of the show, Monty Hall, who knows the location of the car and goats, then opens one of the other doors, so that a goat is revealed. He then asks you whether you'd like to stick with your original choice, or to switch to the other closed door.
The question is, is there any advantage to switching? Or, is there any advantage to sticking with your original choice? Or, is there no advantage either way?
The answer may surprise you:
