Definition of odds-on adjective from the Oxford Advanced American Dictionary

 

odds-on

 adjective
adjective
 
 
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very likely to happen, win, etc. the odds-on favorite (= the person, horse, etc. that is most likely to succeed, to win a race, etc.) It's odds-on that he'll be late. Arazi is odds-on to win the Kentucky Derby.
See the Oxford Advanced Learner's Dictionary entry: odds-on