Hope·ful a.
  1. Full of hope, or agreeable expectation; inclined to hope; expectant.
     Men of their own natural inclination hopeful and strongly conceited.   --Hooker.
  2. Having qualities which excite hope; affording promise of good or of success; as, a hopeful youth; a hopeful prospect. “Hopeful scholars.”
  -- Hope*ful*ly, adv. -- Hope*ful*ness, n.
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  hopefulness
       n 1: full of hope
       2: the feeling you have when you have hope [ant: hopelessness]