'Hope' in the Bible

From: Paul, an apostle of the Messiah Jesus, by the command of God our Savior and the Messiah Jesus, our hope.

I hope to come to you soon. However, I'm writing this to you

To this end we work hard and struggle, because we have set our hope on the living God, who is the Savior of all people, that is, of those who believe.

A woman who has no other family members to care for her and who is left all alone has placed her hope in God and devotes herself to petitions and prayers night and day.