Student or Learner
Considering the whole context, this "work" seems to mean "have results/effect", but the translation goes as "prove right". What do you think?
mo37) Think back to your school days with teachers telling you to go with your first answer. If you had checked your answers, you would probably know that their advice was good. Thatís because your first answer is usually based on your instincts and is mostly the correct one. Now when you are grown up, whatís your first answer to how you are going to handle this situation? You have just lost your job and need to replace that income. How are you going to deal with it? The answer is in your mind.
Donít be afraid of following what your instincts are telling you to do. They work in mysterious ways, but they are designed to do what is in your own best interest. They are usually right.
Both of you clearly seem to say it's 18 like in the following not 19, but sometimes I can't decide if it's 18 or 19 as 19 has the nuance of "effectiveness", which is quite different from 18. How can I choose the right one whenever I see "work"?
18. to be in operation, as a machine.
19. to act or operate effectively: The pump will not work. The plan works.
It's 18 in this case. It's not saying how effective your instincts are, just saying that they operate in mysterious ways.
19 would be for cases like "This new headache medicine really works!"