The word "may" is a modal verb used to express possibility, permission, or a wish. It often indicates that something is possible or allowed but not certain. For example, if you say, "You may come to the party," it means you have permission to come, but it doesn't mean you must.
The word "may" comes from the Old English "mæg," which means "to be able." It is related to the German "mögen" and the Dutch "mogen," both of which also convey the sense of ability or permission.