RAID (redundant array of independent disks) levels 0 through 7 are discussed, with levels 0, 1, 5, and 6 being the most commonly used. RAID 0 uses disk striping without parity for increased capacity but no redundancy. RAID 1 uses disk mirroring for redundancy but is expensive. RAID 5 uses disk striping with distributed parity for a balance of safety, redundancy, and costs. More advanced levels like RAID 6 can recover from two simultaneous drive failures. The document also discusses combinations of levels like RAID 0+1 and RAID 5+1.