Pigeon Appearing: Anatomy of Illusion
Everyone who has seen this magic trick would have noticed that it is done with flash. So you might think that they are somehow connected. Yes, that makes sense. Well, your guess is right. The flash is used only to distract you and happens so quickly that no one can figure out what has happened.

As the audience can’t see anything due to the flash in a split-second magician pulls a pigeon out from his pocket and shows it to everyone as if it never existed in the first place.