actual probability calculation algorithm and more to fail less or not depend on luck

ok so to start with i created a mathematical algorithm which seems to work well to calculate outcomes and also i realised without it being myy intention my initial release had issues in multiplayer, my character or host character was the character every player controlled, its not turn based which is a intended thing however i now have made ability for multiple characters in the online game i tested a star trek theme universe and it did work as both the captain and the actual science officers (created characters) were different characters... and it was really fun tbh if you ever wanted to have a bit of fun this is really cool, i didnt think it would be this fun as tis was intended just as a small project to make in a few days... heres some of the math i used to calculate dice if your interested, its very difficult to captain a starfleet vessel but outcomes were so fun...   ...oh also the multiplayer images now show up for story