They both mean the same thing. We use both of the words when we think that something is possible, but we are not certain. However, they can mean slightly different things in context of a situation. For example, "Maybe", is more informal and is mostly used during a casual conversation with someone. It comes from the saying "it may be." It is used when the answer is more certain than not. Example: Person 1: "Is it okay if I borrow this?" Person 2: "Maybe." However, the word "Perhaps" is more formal and is usually used in writing (it is still used in conversations of course, however, not as much as "maybe"). It is used when express uncertainty about an outcome. You usually say it in response to a possibility (or the possibility of something happening) Example: Person 1: "Do you think you received a good grade on the test today?" Person 2: "Perhaps." Overall, the most important thing to know is that Maybe is more casual and Perhaps is more Formal. I really would not worry because both words can be used in a conversation with no problem at all. Sorry If this sounds confusing! These are things i realized after saying the words so often and are based on my personal experiences. Many people here might have a very different answer from mine, which is perfectly fine!

They both basically mean the same thing, the difference is that "perhaps" is more formal than "maybe". So you would use "perhaps" in formal situations and "maybe" in informal situations.