If you do or achieve something against (all) the odds/against all odds, you do or achieve it although there were a lot of problems and you were not likely to succeed: Against all the odds, he recovered.
Is against all odds an idiom?
In spite of seeming very unlikely, as in Against all odds we had a snowstorm in early May, or Against all odds the slower team won. This transfer of a betting term to general usage occurred about 1900.
What does against odds mean?
phrase. If something happens against all odds, it happens or succeeds although it seemed impossible or very unlikely.