Collocations for odds - noun

considerable, great, high, impossible, insuperable, overwhelming, terrible
She struggled against terrible odds to overcome her illness.

long, short
Sometimes an outsider will win at long odds, but not often. | The bookmakers are offering only short odds on the favourite.

offer, quote | lay
I''ll lay odds we never see him again.

reduce, shorten | beat, defy, overcome
She defied the odds to beat the clear favourite.

shorten | lengthen

against the ~
The film is a heart-warming tale of triumph against the odds.

~ against
The odds against their survival have lengthened.

~ of
They were offering odds of ten to one.

~ on
The odds on the outsider were 100-1.

against all (the) odds
Against all the odds, we managed to get through to the final.