You have two drives in your computer and you want to configure it into most redundant configuration as possible. What RAID types should you configure?

RAID1

I recommend you to configure RAID1

Because as per my experience with2 HDD you can either choose RAID-0 or RAID-1.

RAID-0 doesn’t support redundancy and commonly it is used for obtaining excellent performance in data transferring by block stripping method.  

RAID-1 supports redundancy and you cannot expect an excellent preference as RAID-0 but you can assure that if one HDD failed the data is safe in another HDD. The main disadvantages of RAID-1, you can use only half of the total space and even if it supports redundancy most probably you required down time for the machine because in software RAID, RAID-1 don’t always allow a hot swap for a filed HDD.    

In your requirement keeps importance to redundancy so I recommend choosing RAID-1

I choose raid6 bcause it has errorchecking and restoring HDD..Performance for Desktop HDD is more inaf