BSOD while gaming.

I do not know computers very well

Not a problem at all :)
If you don't understand something, 1 of my teachers would say: the art is to keep asking until you can describe it proper in your own words meaning you understand it

Change Ai Overclock Tuner to manual.
Change the memory frequency to manual and set it to 1333MHz, check the voltage and timing too and make sure they are according to the specs.
RipjawsX - F3-12800CL9D-4GBXL - G.SKILL DDR3 Memory

So far I saw it is correct, so I would leave it now but it is just something to keep in mind :)

I think you mean 1600MHz?
That is the tested speed which is used when XMP is enabled and XMP = overclocking.

I would change them to manual and manually setup the right values, but I'm not a specialist regarding this part so I could easily make a mistake. If I were you I would leave it as it is, the voltage value looks fine :)

If you upload the most recent only, the other is taken too, there is no need to upload 2.

I thought this was reduced to 1333MHz?

Code:

[Memory Device (Type 17) - Length 40 - Handle 0044h]
  Physical Memory Array Handle  0042h
  Memory Error Info Handle      [Not Provided]
  Total Width                   64 bits
  Data Width                    64 bits
  Size                          4096MB
  Form Factor                   09h - DIMM
  Device Set                    [None]
  Device Locator                DIMM_A2
  Bank Locator                  BANK 1
  Memory Type                   18h - Specification Reserved
  Type Detail                   0080h - Synchronous
  Speed                         1600MHz
  Manufacturer                  0420
  Serial Number                         
  Asset Tag Number                        
  Part Number                   F3-12800CL9-4GBXL