Chosen Solution

Hello, my Late 2011 MBP randomly shuts down with no warning. I have tried leaving it plugged in and it still shuts off. Sometimes it shuts off after a few seconds of using the laptop and other times it could be up to an hour befor it turns itself off. There arnt any artifacts or strange glitches on the screen. Any help would be amazing Edit:

I have also change the thermal paste with Artic Silver 5 not too long after I had this problem. Edit 2:

Edit 3:

So now with better than 50% charge in the battery is the system stable? If not you’ll need to get a new battery MacBook Pro 15" Unibody (Early 2011-Mid 2012) Battery. Here’s the needed guide MacBook Pro 15" Unibody Late 2011 Battery Replacement