May and Might  (1) We use  ‘May’ or ‘ Might ‘ to say that something is a possibility.  ‘ Might ‘ expresses the maximum degree of hesitancy.

• It may be true.  (OR)  It might be true ( more hesitant)
• She may (or might) know the details.
• It might not be true.
• Might I borrow your pen, please? ( more hesitant than ‘May’)
• Might this be the answer?
• That might be the answer but I doubt it.
• He may (or might) come to the party.
• What he said might be true.
• Tomi might be in a position to help you for your house construction.

(2) May or Might is used for making a polite request.

• (i) Can I borrow your pen, please?
• (ii)  May I borrow your pen, please?
• (iii)  Might I borrow your pen, please? ( Sentence No (ii) is more hesitant or polite than (i) and Sentence (iii) is the most hesitant or polite of all the three)
• May I come in, sir?
• Might I ask you a question?
• May I ask a favour from you?
• Might I park my car near your gate?
• May I call the servant in to clean the table?