This reminds me of a prediction game experiment I heard that was described like the following. \*

The researchers presented the following to people.

   f(1) = true
   f(2) = true
   f(4) = true
   f(8) = true

And asked, what is f?

And the people will immediately jump in and test 16, 32, and then proudly declare that

   f = x -> x = 2^n for some integer n

Forgetting to test f(3), f(5), etc.

With more examination it turns out that

   f = x -> true.

\* I wish I could remember more of the details such as whether it was an experiment or just an illustration of one but it's not an easy thing to search for and I rely on memory and searching too much.