Alternating and advancing from both ends seems to work, it calls n-1, and n+1 correctly if the previous guess was n, but got no calls in a sequence like - 1, 8, 3, 7, 4, 7, 1, 7, 3, 8, etc
> In a class I taught at Berkeley, I did an experiment where I wrote a simple little program that would let people type either “f” or “d” and would predict which key they were going to push next. It’s actually very easy to write a program that will make the right prediction about 70% of the time. Most people don’t really know how to type randomly. They’ll have too many alternations and so on. There will be all sorts of patterns, so you just have to build some sort of probabilistic model. Even a very crude one will do well. I couldn’t even beat my own program, knowing exactly how it worked. I challenged people to try this and the program was getting between 70% and 80% prediction rates. Then, we found one student that the program predicted exactly 50% of the time. We asked him what his secret was and he responded that he “just used his free will.”
The first time I did badly. But the second time I got really far by deciding on a number instinctively and then picking something next to it. Maybe we instinctively pick similar numbers, but if we fight our instincts we end up with something truly random.
I found it interesting when I felt my focus shift from the number-generating task to noticing (and responding to) the house’s guesses.
As soon as I noticed it repeating its guess, I had a good long run of adversarially avoiding that number… it’s kind of fun being on the machine side of the slot-machine-type racket!
> In a class I taught at Berkeley, I did an experiment where I wrote a simple little program that would let people type either “f” or “d” and would predict which key they were going to push next. It’s actually very easy to write a program that will make the right prediction about 70% of the time. Most people don’t really know how to type randomly. They’ll have too many alternations and so on. There will be all sorts of patterns, so you just have to build some sort of probabilistic model. Even a very crude one will do well. I couldn’t even beat my own program, knowing exactly how it worked. I challenged people to try this and the program was getting between 70% and 80% prediction rates. Then, we found one student that the program predicted exactly 50% of the time. We asked him what his secret was and he responded that he “just used his free will.”
(Yes, I saw the "type the numbers" option.)
As soon as I noticed it repeating its guess, I had a good long run of adversarially avoiding that number… it’s kind of fun being on the machine side of the slot-machine-type racket!
Did I break it?