Monty's Dilemma: The Three Door Problem
Description of the problem
In a certain game show, a contestant is presented with three doors. Behind one of the doors is an expensive prize, behind the others are junk (or goats). The contestant is asked to choose a door. The game show host, Monty, then opens one of the other doors to reveal a junky gift behind it. The contestant is then asked if she/he would like to stick with the original door or switch to the remaining door.
|The contestant chooses "Door 2". Monty
opens Door 3 to reveal a "GOAT". Monty knows
which door has the prize and always opens one that has a
GOAT behind it. The dilemma is this. Should the