Reasons a paper may be open for revision after the majority of reviewers recommended rejection
Does my paper stand a chance of acceptance after revision?


Yes. If it didn't, it would have been rejected. Now how good of a chance it has is another question entirely.


  Why is it open for revisions when majority 2/3 of the reviewers had rejected it?


Because peer review is not voting. Perhaps the editor disagrees with the other reviewers. Or found the third reviewer's arguments particularly compelling. Or is in a generous mood today, and wants to leave the paper open for a "Hail Mary" revision that dramatically improves the paper.