Counting on someone or something to provide the solution is a common occurrence in life. There are numerous synonyms that are used in place of the phrase "pin your hopes on." Rely on, trust, bank on, depend on, have faith in, put one's faith in, and count on are some of the common synonyms used in place of this phrase. When we use these words, we are expressing trust and dependability in someone or something. It is important to choose our words wisely when expressing our reliance, as each word comes with its own connotation and degree of certainty.