may be or perhaps

Maybe is one word, not two.

As far as meanings go, they are pretty much the same.

It's raining today, but perhaps it will be sunny tomorrow.
It's raining today, but maybe it will be sunny tomorrow.

It could be said that perhaps sounds a little more formal.

For instance, in a restaurant :
Perhaps Madam would like to sit by the window.

Not sure, but the weather may be fine tomorrow..

What do you think?

Thank you.

When the question asked for the specific use for "each of these words" as opposed to terms or phrases, I naturally assumed that it would be maybe.

https://www.google.com/?gws_rd=ssl#q=may+be+vs+maybe

I was asking you what do you think about the weather tomorrow.

Are we going to have rain?

Maybe, but it may be sunny.

Perhaps.

It's more a case of genre. Maybe is quite rocky.

Whereas perhaps is more easy listening.

Thank you.