I am going to answer your question @elvis, and then I am going to segue [slightly] off-topic a bit, if this is OK with you.
To try to answer your question here, I like @Xander's answer above. I want to add that it is perfectly fine to ask a question "that just popped into your head" and that you thought about. It's perfectly fine to say that this is something you were curious about, as long as you demonstrate that you know at least something about the general subject area, and that you tried to answer it yourself. [In fact you should let it be known that you were the one who thought of this question, that way anyone trying to answer understands that there may not be a nice answer.] If the question itself is interesting, then that should carry the day.
Now to segue off in a different direction and hop on my soapbox here, I think of MSE as sort of a mathematical potluck. As in, users on MSE need to contribute as well as simply take. I am known for being a harsh downvoter on here but that is towards posts [and by extension, the users of MSE who wrote the posts] who I think are only taking from MSE and not contributing back. [too many of them I say!] If it were me I would require all users to post a [good] answer at least one question for every 5 questions they ask, but I digress. [ETA: Good thought-provoking questions certainly are contributions to MSE indeed. To be clear, I am talking primarily about those who post their 101-level or 201-level homework problem-set questions on here in volume but don't answer anyone else's questions. If you're on here asking a lot of questions then surely you are learning a lot of math. Can you pay it forward and answer someone else's questions.]
Anyway, related to the above, I think the 'show context' thing, as well as requiring the question to be well-written and formatted correctly, is part of the larger goal to get someone to contribute to the site in general. Your question should not just be of interest to YOU, but ideally, to the person reading it--(maybe they learned something), to the person answering it--(hopefully it was a rewarding puzzle for them to figure out), and to other people who read your question and are interested as well. You show respect to the community to making sure your question has some motivation, and is well-written and formatted well [and conversely, disrespect to the community to not doing that].
My 2 cents.