From Longman Dictionary of Contemporary Englishbe in with a chancebe in with a chancePROBABLYif a competitor is in with a chance, it is possible that they will win I think we’re in with a good chance of beating them. → chance
Examples from the Corpus
be in with a chance• It seems that even Toulouse-Lautrec thinks he is in with a chance.• I felt that my running was improving as the season progressed and that I was in with a chance.• He told me that if I kept running well, I was in with a chance.• Opinion polls, though not very reliable, show that Kostunica is in with a chance.• To be in with a chance of winning simply complete this Eric Clapton song Wonderful ... ...• To be in with a chance of winning, just name the lead singers of Guns N' Roses and Nirvana. 