Difference between Perhaps and Possibly

PERHAPS vs POSSIBLY: ADVERB

By chance
To a degree possible of achievement or by possible means
In a manner or to a degree possible of conceiving
Perhaps.
Conceivably.
Under any circumstances.
In a possible manner; by possible means; especially, by extreme, remote, or improbable intervention, change, or exercise of power; by a chance; perhaps.
Indicates that the proposition may be true (is not certainly false) regardless of any facts or circumstances known to, stated by or implied by the speaker.
Indicates that the action may successfully be performed (is not impossible) regardless of any facts or circumstances known to, stated by or implied by the speaker that might limit the performance.
With a possibility of becoming actual

Perhaps; perchance.
In a possible manner; by any power, moral or physical, really existing; by possibility.

May, Certainly, Doubtless, Conceivably, Undoubtedly, Presumably, Even, Probably, Arguably, Surely, Might, Peradventure, Perchance, Maybe, Possibly

Even, Surely, Hopefully, Possible, Likely, Presumably, May, Probably, Might, Conceivably, Peradventure, Perchance, Maybe, Potentially, Perhaps

Methinks, Rather, May, Certainly, Doubtless, Conceivably, Even, Probably, Arguably, Surely, Might, Peradventure, Perchance, Maybe, Possibly

Potential, Certainly, Even, Surely, Hopefully, Possible, Likely, May, Probably, Might, Conceivably, Peradventure, Perchance, Maybe, Perhaps

Or perhaps New England was not particularly harmonious.
Perhaps online help could prove beneficial to you.
Perhaps, that is not the way to go.
Perhaps it was because he was tired of dealing with the problem of stray animals; or perhaps because he too was feuding with Hagan.
Perhaps I was too optimistic; perhaps I expected too much.
We may imagine that some suggestion of a parting has been raised and discussed, perhaps in jocular company, perhaps in a more intimate setting.
Perhaps you had not considered applying to the University of Colorado Boulder before today or perhaps you started, but have not completed, your application.
Perhaps they were nervous, or perhaps they were just being One of the jurors spoke.
Perhaps her request was reasonable; perhaps it was not.
Perhaps they worshiped the blue tiger, perhaps they were devotees of a cult that my rash words had profaned.