Hybrid of maybe and perhaps so it's like both of them mixed together
A: will you marry me?
B: mayhaps.
Another example
A: do you think you will do well in exams?
B: mayhaps.
Maybe and perhaps mixed together
A: will you marry me?
B: mayhaps.
Another example
A: do you think you will do well in exams?
B: mayhaps.
A mix of maybe and perhaps for when you don't know which to choose, why not use both?