live in hope of
live in hope of (something)
To maintain hope that something will eventually happen or come true. I know it's a long shot, but I live in hope of getting into that art school program for the fall. It's been nearly two years since she went missing, but we're still living in hope of seeing our little girl again.
live in hope(s) of something
to live with the hope that something will happen. I have been living in hopes that you would come home safely. Greg lives in hope of winning a million dollars in the lottery.