First:
RAID is not a backup. RAID is for eliminating downtime. If your company will lose a million dollars a day in business if the file server goes down, you want that file server on RAID so a single HDD failure does not bring it down and cost you a million dollars in the time it'll take to restore a backup. i.e. A file server on RAID will keep functioning despite a HDD failure.
If you were hoping to use RAID as a backup, that doesn't work. If you accidentally delete or overwrite a file, or malware encrypts it, the redundant copy or parity data will also immediately be deleted, overwritten, or encrypted, and you will lose the original file. Most crucially, this means that even if you're running RAID,
you still need to make backups.
So you have to ask yourself what you're trying to accomplish. If you need this media server to be up 24/7/365 with no downtime (e.g. your kids will kill you if it goes down), then you want RAID. But the vast majority of people don't need this type of reliability from a media server. If some downtime is acceptable, then you don't need RAID. Just use a single drive (or combine multiple drives into a JBOD), and be sure to make regular offline backups.
If you really do need RAID for this application, then you've got the math wrong.
■RAID 0 gives you the full storage space of both (all) drives, at reduced reliability. If you have two 6 TB drives in RAID 0, you have 12 TB of storage.
■RAID 1 gives you n/2 times the storage space. If you have two 6 TB drives in RAID 1, you get (2/2)x6 = 6 TB of storage.
■RAID 10 also gives you n/2 times the storage space. If you have four 6 TB drives in RAID 10, you get (4/2)x6 = 12 TB of storage.
■RAID 5 gives you n-1 times the storage space. If you have four 6 TB drives in RAID 5, you get (4-1)x6 = 18 TB of storage. Getting 12 TB of storage from RAID 5 only requires three 6TB drives. However, the chance of a second drive failure during a rebuild are high enough that RAID 5 is not recommended for multi-terabyte volumes. Use RAID 10 or RAID 6 (n-2) instead.
Regardless of which RAID you use, you still need a backup. So the final numbers for 12 TB storage using 6 TB drives end up:
RAID 10 = 4 drives for RAID + 2 drives for backup = 6 drives total
RAID 5 = 3 drives for RAID + 2 drives for backup = 5 drives
No RAID = 2 drives for server + 2 drives for backup = 4 drives
If a drive fails in a RAID array, the RAID hardware (or software for software RAID) informs you of the failure. In RAID 0 your data is just gone, and you have to restore from backups. In the other RAID versions, you remove the failed drive and replace it with an identical new drive. The RAID hardware/software then rebuilds the RAID array. In RAID 1 and 10, it copies the missing data from the good drive to the new drive. In RAID 5 and 6, it takes the data on the good drives, re-calculates the parity info which was on the failed drive, and writes that onto the new drive. Either way, for 12 TB of data you're looking at over a day of rebuild time. Except for RAID 10 or 6, a second HDD failure during that rebuild stage will destroy the array losing all the data, and you'll have to restore from backup.
Time to restore from a backup is about the same as a rebuild. So the only benefit RAID gives you is that the data will be available during a rebuild. If this isn't important, then you don't need RAID, just a backup. Given the un-changing nature of Plex media files, you may want to investigate into burning backups to dual-layer blu-ray discs (50 GB each). The price for a 50-pack is down to around $80, which works out to $32 per TB. A 6 TB HDD is around $150, or $25 per TB. So about the same, except the blu-rays won't lose data if you accidentally drop them, and can't be accidentally erased (I once copied a corrupt file over its backup, instead of the other way around).