Il verbo modale May significa 'potere' ed è usato per:

• esprimere la possibilità (che si pensa possa realizzarsi).
  esempi:
  - Does it seem possible that she may like me?
  - It may rain tomorrow
  - John may be at home
  
• dare il permesso
  esempio: You may go now.
  
• chiedere il permesso
  esempio: May I borrow your car?

Ecco alcuni aforismi con May

Do not be too moral. You may cheat yourself out of much life so. Aim above morality. Be not simply good; be good for something.
Henry David Thoreau

Indecision may or may not be my problem.
Jimmy Buffett

Do not think of today's failures, but of the success that may come tomorrow.
Helen Keller

il verbo Might

Might è il condizionale di may (potrebbe, potrebbe darsi...). Si usa per:

• esprimere la possibilità nel passato, nel presente e nel futuro:
  esempi:
  She might be on the bus. I think her car is having problems.
  She might have taken the bus. I'm not sure how she got to work.
  She might take the bus to get home. I don't think Bill will be able to give her a ride.
  
• might si usa come condizionale di may:
  esempi:
  If I played, I might actually win.
  If I had entered the contest, I might actually have won.
  If I entered the contest tomorrow, I might actually win. Unfortunately, I can't enter it.

Ecco un po' di aforismi con might

Clinton lied. A man might forget where he parks or where he lives, but he never forgets oral sex, no matter how bad it is.
Barbara Bush

Genius might be the ability to say a profound thing in a simple way.
Charles Bukowski

I would never die for my beliefs because I might be wrong.
Bertrand Russell