Both "maybe" and "possibly" can be used to express something might happen. I am wondering which word has the higher chance?
Will you go to the new movie Friday?
Possibly seems a bit more formal.
Also while you can say
I'll possibly go
I'll perhaps go
is a bit weird, while
I'll maybe go
sounds really informal, if not uncouth.
There is no difference between the two.
However there is a very fine difference between Maybe and Possibily.
Maybe is used in informal context i.e When having a conversation with friends and family. Most people mistakenly use it with formal context which is absolutely wrong.
Possibly is used in formal context. It is best to use Possibly in your conversation as it provides a good structure,a polite request as in Could you possibly help me in my work? and also has the ability to describe the intensity/meaning of the situation.
Quite Possibly/Very Possibly expressions are used to indicate a greater possibility of something happening.
So it's better to stick with Possibly to give a better structure to your sentence.