RAID or redundant array of inexpensive/independent disks is a technology to increase the reliability of data storage. We will consider a simplified model. Let F2 = Z2 be the field with two elements (i.e. {0, 1}) then a hard drive with a capacity of c bits can be thought of as a vector v (F2) c , i.e. a list with entries in F2 with c-entries.

Explain in clear and concise English how, using three same sized hard drives, it is possible to store data on two of the hard drives and, thanks to the third, ensure that if any one of the three hard drive fails, no data will be lost.