There are 3 doors with one door having an expensive car

behind it and each of the other 2 doors having a goat behind them. Monty Hall,

being the host of the game, knows what is behind each door. A contestant is asked

to select one of the doors and he wins the item (car or goat) behind the selected

door. The contestant selects one of the doors at random, and then Monty Hall

opens one of the other two doors to reveal goat behind it (note that at least one of

the other two doors has a goat behind it and Monty Hall knows the door having

goat behind it). Monty Hall offers to trade the door that contestant has chosen for

the other door that is closed. Should the contestant switch doors if his goal is to

win the car?