To expand on what Smknhjoe said..
The problem with raid is this, it ONLY accounts for a drive failing. So? Well if your power supply burns up, it can fry both your drives. If your raid card fails, it can corrupt data on both drives. A lightening strike can kill both drives... Get the the idea yet? Raid is meant to keep a server running in case a drive fails, you still use a regular backup in case the computer itself fails.
External drives work okay for backups, however, the better the backup, the more hassle it is. Ideally, you want the external only plugged in when backing up, and even better, offsite when not being used. If your house burns, so does your backup. If it's plugged into your computer 24/7, it's only marginally better than raid (the usb system will usually fry before the drive gets fried). I say they work okay, because not only the problems mentioned, but also, far too many forget to bother making a backup.
Here is what I do.
First, off site.. I do this by having a server at an office I backup to, while it cost me some parts, the service is free. Places like Backblaze and Crashplan charge $60 a year to do the same thing. before you complain about the costs, you can barely by a small drive for that and these guys will backup unlimited data for that. I use Crashplans free software to send the actual data, which is free between friends and your own computers, so you don't have to have access to an office like I do, a buddy who trades data with you will suffice (and yes it is encrypted) and completely automated. I have several customers using these sorts of systems and they are quite happy with it.
In my case, since sending even a terrabyte over the internet takes a (LOOONG) while, when I first did my server I transferred the first backup at my house, then moved the backup server to the office. However, I only offsite backup my important data, about 100gigs worth. The larger stuff like movies games, etc.. I use a small external drive that I manually hook up every now and then and let it backup that way.
With this setup, even if my house burns, I retain my important stuff, and the rest, which is replaceable, is only vulnerable to fire and my laziness.