1hope 
/ˈhoʊp/ verb
hopes; hoped; hop·ing /ˈhoʊp/ verb : to want something to happen or be true and think that it could happen or be true [no obj] ▪ No one knows yet if anyone survived the crash. At this point, we can only hope. ▪ “Will you be able to come to the party?” “I hope so.” [=I want to go to the party but am not sure that I will be able to] ▪ “Will you have to miss the party?” “I hope not.” [=I do not want to miss the party] — often + for ▪ He's hoping for a promotion. ▪ An apology is the best/most we can hope for. ▪ She was hoping for an invitation to the party. ▪ She finally got her hoped-for promotion. ▪ All we can do is hope for the best. [=hope that things will turn out as well as possible] [+ obj] ▪ She hoped that she would be invited to the party. = She hoped to receive an invitation to the party. ▪ We all hope (that) things will be better soon. = We're all hoping (that) things will be better soon. ▪ They hope to succeed. ▪ I hope (that) she remembers. ▪ I hope you're feeling better soon. ▪ That's what she hoped would happen. ▪ It is (to be) hoped that the strike will end soon. ▪ Let's hope that the strike ends soon. ▪ I hope I haven't bored you. ▪ Everyone in your family is well, I hope.
here's hoping
informal — used to say that you hope something will happen ▪ Here's hoping (that) it doesn't rain.
hope against hope
: to hope for something when you know that it will probably not happen or be true
▪ We're hoping against hope that they survived the crash.
▪ We're hoping against hope that they survived the crash.
