So I was reading [What's the difference between でしょうか and ですか at the end of a
question?](https://japanese.stackexchange.com/questions/12977/whats-the-
difference-
between-%E3%81%A7%E3%81%97%E3%82%87%E3%81%86%E3%81%8B-and-%E3%81%A7%E3%81%99%E3%81%8B-at-
the-end-of-a-question) and I roughly know that でしょうか means, but what exactly
is でしょうか trying to convery in the title?
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question
word-choice
大丈夫ですか vs 大丈夫でしょうか
大丈夫ですか is directly asking if whoever/whatever you are talking about is 大丈夫. It
assumes that the listener _knows the answer_. Depending on the topic, it's
usually translated as "Are you all right?", "Is he okay?", "Is this safe?",
and so on.

大丈夫でしょうか is more like "I wonder if you'll be okay", "Will he be
okay/successful?", "I'm not sure if this is safe", and so on. It assumes that
there is some uncertainty about the 大丈夫-ness of the topic, and even the
listener may not know the answer.

Because the future is fundamentally more uncertain, 大丈夫でしょうか tends to be used
when discussing future events. However, even for a current situation, if there
is uncertainty, you should say 大丈夫でしょうか. Conversely, even when it's about a
future event, if you're asking about something that the listener definitely
knows, you use 大丈夫ですか.

* * *

For example, if you see a person on the street who has stumbled, you need to
say 大丈夫ですか ("Are you all right?") to them because they should know if they are
okay. If you heard that your colleague had an accident and is in surgery, you
say 大丈夫でしょうか to other colleagues because they should be equally uncertain.

Suppose you are standing in front of a machine that looks dangerous. If you
ask (これは)大丈夫ですか, it means that you expect that the listener can assure you
that it is safe. If you ask 大丈夫でしょうか in the same situation, it means that you
are thinking even the listener may not know if it's really safe.

Suppose you are talking to your colleague who is going to take a difficult
exam next week. If you say 大丈夫ですか, you're basically asking if he is confident
(he knows the answer). But 大丈夫でしょうか implies you're worried if he will be
successful regardless of his current confidence level (he does not know the
answer).
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answer