to hope for good luck
надеяться на удачу (nadeyatsya na udachu)
"I am keeping my fingers crossed for the exam results."
"Я скрещиваю пальцы за результаты экзамена." (ya skreshchivayu paltsy za rezul'taty ekzamena)
a promise made without the intention to keep it
to be lost in thought or imagination
a friendly way to greet someone you know
to take responsibility for what you did wrong.
to be in constant conflict or fighting
every difficult situation has a hopeful aspect