The phrase "higher chance" means that there is a greater possibility or likelihood of something happening compared to other possibilities. Full definition
That way, you could stand out from the rest of the applicants and get higher chances of getting hired. (template.net)
This is one way that you can easily catch one's attention and a much higher chance of getting a reply. (trulyasian.com)
To make sure you don't get disappointed, compare several application processes employed by various lenders so that you can choose the one with higher chances of success. (nation21loans.com)