I think I figured it out but I need an experts thoughts.
So this happened to me too but only when I played Far Cry 4 without turning on a custom fan curve. This happens when the card gets too hot. When the thermal limit of 94c is reached the black screen comes up and the fans spin to 100% to keep the card from dying.
How do I know this? I did a test using the Unigine Valley benchmark. In Precision X OC I set everything on default without any fan curve. I just left everything on Auto. So first I thought..wow great zero fan speed..ok when will it kick in? Someone told me it would kick in at 60-65c. So I ran the Valley benchmark and the card got over 90C and was approaching the 94c mark. The fan never kicked in!! So I went into the EVGA precision OC tool again. Reset everything to the defaults and ran the Unigine Valley test again...this time the fans kicked in at around 45-50c and during the test the card did approach the 94c mark at all - it never got above 75c.
So I think this card needs a BIOS update or its needs something that will ensure that the fans kick in! Test this yourself and enable the precision tool to display your fan speeds in the game. Please let us know what you find out.