I am looking for quite a good movie about the concept/illusion of free will. It was not really a Horror movie in a typical sense.
I remember it was about a group of people invited to a mansion. They find themselves trapped there and they die one by one due to traps/situations that have been calculated and predicted by their host. Basically, he was able to forsee every step and decision each person takes, proving they have no free will.
I think it was black and white, but for aesthetic reasons rather than age. It is an older movie, but not a really old one.