Monty Hall problem

The Monty Hall problem is a puzzle in game theory involving probability that is loosely based on the American game show Let's Make a Deal. The name comes from the show's host, Monty Hall. In this puzzle a player is shown three closed doors; behind one is a car, and behind each of the other two is a goat. The player is allowed to open one door, and will win whatever is behind the door. However, after the player selects a door but before opening it, the game host (who knows what's behind the doors) must open another door, revealing a goat. The host then must offer the player an option to switch to the other closed door. Does switching improve the player's chance of winning the car? The answer is yes — switching results in the chances of winning the car improving from 1/3 to 2/3.

Related Topics:
Puzzle - Game theory - Probability - American - Game show - Let's Make a Deal - Show's host - Monty Hall - Car - Goat

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

The problem is also called the Monty Hall paradox, in the sense that the solution is counterintuitive, although the problem does not yield a logical contradiction.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~