Star Wars is a movie about a magical terrorist who destroys the galactic equivalent of the Pentagon after being safely guided through a suicide bombing mission by the ghost of the man who mutilated his father. Earlier in the movie, our heroes infiltrated Space Pentagon (here known as the Death Star) to free the princess of a dead planet, which carries the same level of esteem as being the assistant manager of a Bennigan's that is no longer open.
The Death Star is at least the size of a moon -- we know this because the heroes literally mistake it for one. In actuality, it's probably the size of several moons, because we have to assume that it's layered like an onion, with multiple levels all the way down to its core. What are the odds that the one space garage Luke and Han get pulled into is within walking distance of where Princess Leia, an incredibly valuable political prisoner, is being held? That would be like looking for a single person in the entirety of Asia, landing at a random airport, and finding her in the baggage claim.
Vader doesn't like to have a long walk ahead of him when he parks his Jetta in the shuttle bay.
Think about it -- the hangar they land in, the detention bay, the tractor beam controls, and the garbage chute are all within an elevator ride and a heroic chasm swing of each other. Luke and Han are in and out of the Death Star in maybe an hour. The odds on that are like a million to one (not to be confused with A Million to Juan, which utilizes an entirely different numerical system).
The Samuel Goldwyn Company