May well vs. May as well

Meaning: Expresses probability or a strong likelihood. It suggests that something is quite probable or a logical consequence of something else. It’s stronger than just “may” (which suggests possibility) but not as strong as “will definitely.”
Structure: Subject + may well + base verb
Usage:
- “He may well be late; his train was delayed.” (It’s quite likely he’ll be late.)
- “You may well be right about that.” (It’s probable that you are right.)
- “If you keep practicing, you may well win the competition.” (It’s a strong possibility/logical outcome.)

Meaning: Expresses resignation, a lack of better alternatives, or doing something because there’s no good reason not to, or to avoid a worse situation. It implies that while you might not be enthusiastic, it’s the most sensible or least undesirable thing to do in the circumstances.
Structure: Subject + may as well + base verb
Usage:
- “The bus is late, so we may as well walk.” (Walking isn’t ideal, but it’s the only option or better than waiting indefinitely.)
- “Since you’re here, you may as well help me with this.” (There’s no good reason for you not to help.)
- “I’ve started the project, so I may as well finish it.” (Even if I don’t particularly want to, it makes sense to complete it now that I’ve begun.)