I would say: maybe means it's just as likely to happen as it is to not happen, probably means it's likely to happen, and perhaps is a more formal version of maybe and isn't used nearly as often.

"I'm PROBABLY 6 feet tall. It's been a while since I last measured my height and last time, I was 5 foot 11." or "He has long legs! He's PROBABLY a really fast runner." or "If you go to that party, you are PROBABLY going to get drunk!" or "You PROBABLY shouldn't be touching that." Probably means that something is likely to happen or something is likely to be. "MAYBE I should ride the bus home instead of walking." or "That's Jung Soojung! MAYBE I can get her autograph!" or: Jimmy: "Do you think I'll grow to be as tall as Minho?" Bob: "Maybe." Maybe means that something may or may not be. It's an equal chance that it may or may not be. As kevinhill93 said, perhaps is a formal version of maybe. I'll still give example sentences, though. "Perhaps I should have studied harder for that test." or "I'm growing a lot these days! Perhaps I'll grow to be as tall as Minho!" or "She's really bad at all the things she tries to do! Perhaps there is one thing she is really good at." Hope I helped!

All of these words are classed as synonyms. Here are some sentences to explain the nuances. Maybe: You use this word when you are not sure. It could be a "yes" or it could be a "no," and you are not certain. Example: - "Are you going to Jan's party tonight?" - "Maybe, I haven't decided yet." Perhaps: It's like saying "maybe." Example: "Renovation will take two weeks, perhaps longer." Probably: This word is similar to "likely." Example: Q: Do you think it will rain? A. Probably, because I can see clouds in the sky.