just recently while playing a game my pc shut down, as in one moment playing the game the next staring at a black screen, It has does this 3-4 times now. My question is it due to my psu dying (like I suspect) or another possible cause?
Might be PSU. Might be heat causing the CPU to tell the PSU to power down. Check your actual temperatures and then look up the temperature limits on the CPU. If it's not temperatures, it's probably the PSU.