Why does Mason Williams ask the girl in Red Dress to dance?

Answer 1

He never asks her out. The scenario is as follows.

1. There is a dance composed of an inner circle and an outer circle.
2. The inner circle dances one way, the outer circle dances the other.
3. When the music pauses, you are matched with a person.
4. That person just happened to be Mason Williams.

He then proceeds to slowly dance her to the side of the room, where he lets go and says, "See ya." He is more likely to fly to Mars than to dance with her.