
offenbar
apparently
Expresses an assumption based on clear signs; apparently, seemingly.
Das Licht ist an, also ist offenbar jemand zu Hause.
The light is on, so apparently someone is at home.
apparently / obvious
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apparently
Expresses an assumption based on clear signs; apparently, seemingly.
Das Licht ist an, also ist offenbar jemand zu Hause.
The light is on, so apparently someone is at home.

obvious
Used as an adjective, it means obvious, clearly recognizable to everyone. This usage is less common and rather formal or literary.
Sein Unwille, an der Diskussion teilzunehmen, war offenbar.
His reluctance to take part in the discussion was obvious.
The word is composed of 'offen' (open) and the suffix '-bar' (-able). It literally means that something lies 'open' and is therefore visible or recognizable to everyone.
Die Lösung des Problems war nach langem Nachdenken plötzlich offenbar.
After long reflection, the solution to the problem suddenly became obvious.
The most common use is as an adverb that expresses an assumption. In this case, 'offenbar' is not declined. You can recognize the rarer adjectival use by the fact that the word is declined before a noun.
Er ist offenbar nicht mit dem Ergebnis zufrieden.
He is apparently not satisfied with the result.
As an adverb, 'offenbar' can stand in position 1, which moves the verb into second position. But it can also stand in the middle of the sentence, usually after the conjugated verb.
Offenbar hat er den Zug verpasst.
Apparently he missed the train.
The use as a declined adjective before a noun is rare and belongs more to written language or a formal style. This form is hardly used in everyday speech.
Trotz seines offenbaren Desinteresses musste er bleiben.
Despite his obvious lack of interest, he had to stay.
probably / well
„Wohl“ and „offenbar“ can both express an uncertain conclusion. „Offenbar“ is appropriate when clear signs support the assessment; „wohl“ more generally marks a probable assumption and does not require clearly recognizable evidence.

Mias Mantel hängt im Flur, also ist sie offenbar schon zu Hause.
Mia’s coat is hanging in the hallway, so she is apparently already home.
Ohne etwas Genaueres zu wissen, ist Mia wohl schon zu Hause.
Without knowing anything more specific, Mia is probably already home.