Redundant Array of Inexpensive Discs $($RAID$)$ is a technology that uses multiple hard drives to increase the speed of data transfer and provide instant data backup. Suppose that the probability of any hard drive failing in a day is $0\mathrm{.}002$ and the drive failures are independent.

Round your answers to six decimal places $($e$.$g$.0\mathrm{.}987654).$

a$)$ Suppose you implement a RAID $1$ scheme that uses two hard drives each containing a mirror image of the other. What is the probability of data loss? Assume that data loss occurs if both drives fail within the same day.

b$)$ Suppose you implement a RAID $0$ scheme that splits the data over two hard drives. What is the probability of data loss? Assume that data loss occurs if at least one drive fails within the same day.