In the hope of something
Definition 1 of 1
Pro Tip 1/3Optimistic Action
This phrase indicates an action taken with a positive expectation but no guarantee of success. 
He traveled to Hollywood in the hope of becoming an actor.
Pro Tip 2/3Emotional Tone
Using this phrase can imply emotional investment in the desired outcome. 
They organized a charity event in the hope of raising enough money to build a new school.
Pro Tip 3/3Long-term Goals
Often relates to long-term ambitions rather than immediate expectations. 
She's learning Spanish in the hope of working in South America one day.