Hope

"Hope" means that you want something to happen and you think there is a possibility.

I hope it doesn't rain.

"Expect" means that you think something will happen.

I'm expecting an important phone call.

"Look forward to" means that you think something will happen and you feel happy about it.

I'm looking forward to Jaime's party.

"Wish" means that you want something to happen which is impossible or very unlikely.

I wish I were 20 years younger.

"Wait" means to stay without doing anything until someone or something comes or happens.

We waited 20 minutes for the bus.

"Expect" significa esperar algo que sabes que va a ocurrir.

I'm expecting an important phone call.

"Look forward to" significa esperar con ilusión, con ganas.

I'm looking forward to Jaime's party.

"Hope'" significa esperar algo que queremos que ocurra sabiendo que hay una posibilidad.

I hope it doesn't rain.

"Wish" significa esperar algo que es imposible o casi imposible que ocurra.

I wish I were 20 years younger.

Wait" significa esperar físicamente.

We waited 20 minutes for the bus.