With the expectation, intention, or desire of (something or something happening). He strove to be well-behaved in prison, in the hope of an early release. I'm being extra nice to my sister all through December, in the hope of getting a new video game for Christmas.

With the expectation, intention, or desire that (something will happen). He strove to be well-behaved in prison, in the hope that he would be let out early on parole. I'm being extra nice to my sister all through December, in the hope that Santa will bring me a new video game for Christmas.