be in with a chance of doing something

Từ điển Oxford Advanced Learner 8th

be ˌin with a ˈchance (of doing sth) idiom
(BrE, informal)to have the possibility of succeeding or achieving sth
•‘Do you think we'll win?’ ‘I think we're in with a chance.’
•He's in with a good chance of passing the exam.
Main entry: ↑chance_idiom