Monty Hall Game

Welcome to the Monty Hall Problem game. This app illustrates how Monty Hall Problem works.
The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let's Make a Deal and named after its original host, Monty Hall.

Game:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say Door A, and the host, who knows what is behind the doors, opens another door, say Door B, which has a goat. He then says to you, Do you want to pick door C? Is it to your advantage to switch your choice.

The problem is, which is not intuitive, that if you switch the door, you double your chances to win.