What kind of game shows are people watching where the host opens a door and says, hey, there's the prize but too bad, now you can't win it? Of course he always picks a door with a goat.
Deal or No Deal does this - the contestant selects a briefcase, then opens up briefcases randomly. It's very similar to the Monty Hall problem, with some twists iirc.
Why not? Reveal all the choices the contestant didn't make, one at a time, slowly increasing the odds of a prize. This adds to the suspense. It's used all the time.