Figured I'll throw in my two cents as well.
Once upon a time, a friend of mine was grinding Ana's request like mad because he really, REALLY wanted the Milias Breaker. After 80+ or so runs, he finally gave up. A little while later, I told him that the drop rate is boosted if you played online. He played online, and got his Milias Breaker in two full field runs.
We can number crunch all we want, but it really all boils down to luck. In the very end game, I only ever did field runs. I find field runs to be more fun and "less-grindy" anyway.
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