To wait means to pass the time until something happens:
▶️ It’s 6:45. I’m waiting for the 7:00 bus.
▶️ We waited in line for three hours to get tickets to the concert.
▶️ You need to wait for the computer to finish updating.
Await is simply a slightly more formal way to say wait for. It is always followed by a
noun:
▶️ There are three projects awaiting the manager’s approval.
▶️ I’m awaiting your answer.
▶️ Everyone’s eagerly awaiting the release of the movie.
= Everyone’s eagerly waiting for the release of the movie.
To hope means you want something to happen:
▶️ I hope I’ll get a promotion this year!
▶️ I’m sorry to hear you’re sick. I hope you get better soon!
▶️ The traffic is very bad today. I hope I won’t be late.
To expect means to believe that something probably will happen:
▶️ We’re expecting a visit from some clients – they said they’d come at 4:30.
▶️ My boss expects me to arrive on time every day.