If someone does something very difficult, then they can say they did it against odds or they beat the odds.

如果某人做某事很难，他们可以说，他们克服难关。

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"We have battled against the odds in a province that has become increasingly violent.

VOA: standard.2010.05.26

"Even though I never had a chance to talk to him, I can imagine when he was here how he had to stay focused against all the odds.

VOA: standard.2009.08.19

The semi-final was against odds-on favourites Canada.

BBC: Rhona Martin tips Great Britain for double medals

The perilous battle that was fought during World War II in the Pacific at Iwo Jima was a battle against all odds, and yet this picture immortalizes the victory of young GIs over the incursion against the Japanese.

CNN: Transcript: Bachmann's response to State of the Union

Seemingly against the odds, LinkedIn has built a tremendous presence in the business of social networking.

FORBES: With LinkedIn IPO, B2B Marketing Gets The Spotlight