Lay Odds Meaning

Example: To offer a bet in which one stands more to lose than the opponent; or a bet in some other way favourable to the opponent.
1597, Henry IV, Part II, Act V, Scene 5; by William Shakespeare                
  Prince John: "I will lay odds that, ere this year expire, \ We bear our civil swords and native fire \ As far as France. I heard a bird so sing, \ Whose music, to my thinking, pleas'd the King."
1904, The Sea-Wolf, by Jack London, chapter XXIV
  "We're dead safe," he assured them with a laugh. "No salt mines this time, Smoke. But I'll tell you what -- I'll lay odds of five to one it's the Macedonia."
To feel certain about something.