So I recently did a study with my friend, well not really a study, that's just what I call my little exploit. The loot system seems to reward players a hell of a lot more often if these 4 conditions are in place
1- someone has to get no kills or assist and can't die or revive
2- the team can't wipe
3- alternate between who is AFK.
3- most importantly, as the no killing AFK guy, don't let your shields break from damage.
Now most of the time we did this someone got a legendary ship, engram, or exotic. This confirmed my suspensions that when you are inactive, you have a much higher chance of getting a legendary or having the pleasure of seeing someone else have one.
Now this is all based around 2 people messing around in strikes, trying to 'crack the code'. I took the risk of being reported. I even made a few others mad as well, and rightfully so. I was just seemingly being a dick, I was following them around but not shooting, not even reviving, and all for one legendary I don't even need. I'm done doing this, and I recommended that others don't try following in my steps. This needs attention, it needs to be fixed.
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It's all RNG. No factors can influence the drop rate of certain items, aside from cases like the crux.