1
general::
Risk something, gamble, as in I'll take a chance that he'll be on the next plane. [c. 1900]
American Heritage Idioms
2
general::
Phrase(s): take a chance [and] take a risk
to try something where failure or bad fortune is likely. • Come on, take a chance. You may lose, but it’s worth trying. • I’m not reckless, but I don’t mind taking a risk now and then.
McGrawhill's American Idioms And Phrasal Verbs