How many times would you pay to see a film in theaters?

Hypothetically, say this big movie is released. When it is, you hear that there will be puzzles and stuff in the background to figure out for the audience. You also hear that the first person to correctly figure it all out will win $2 million. If the ticket to see the film is 15$, how many times would you be willing to see it for a shot at that $2M?