Also the number of outcomes isn't connected to the solution space reduction the way you say. If you don't know whether the fake coin is heavier or lighter, both tilt-right and tilt-left are effectively the same result. So at least your first test really only has 2 meaningful outcomes.
In general, you'll only reduce your solution space DOWN TO (not by) 1/(number of distinguishable outcomes) if the possible solutions are evenly divided among those outcomes. It's easy to have a problem where "result 1 narrows it down a lot, result 2 doesn't tell us much"
It's one thing to try and be beautiful, say by putting on makeup. It's another entirely to worship beauty so much that you inject a deadly neurotoxin into your face (often with disastrous results) for it. And this is often done by actors, literally people paid in large part for their existing beauty.
It making them happy (which I doubt) doesn't mean it's safe, and doesn't mean that they have good values.