Statistics Interview Questions

Statistics
 

[tps_title]Statistics Interview Questions[/tps_title]

garage doorsConsider the game in which there are 3 doors. Behind one of the doors is treasure chest full of gold, and nothing behind the other two doors. You must guess the door that contains the treasure chest of gold. Once you choose a door, one of the other 2 doors will open to reveal that it is empty. At that point, you may switch your choice of door to the other door that was not revealed as the empty one. You choose Door 1. At this moment, Door 3 opens to reveal that the treasure chest is not behind this door. Hence, you know that the treasure chest lies either behind Door 1 or Door 2. Should you switch your selection from Door 1 to Door 2?