If you watched the Giants game yesterday, you saw them hit a Hail Mary pass for a touchdown on the last play of the half. In all the years I've been watching my team, I'm not sure I've ever seen them complete one of those.
Just goes to show you that even when something is a longshot, you should take a shot.
Even if you think you have no chance for a job, throw up a Hail Mary. (In this case, send a tape.) You have nothing to lose, and you might get a great job.