From the extracted game files, the Hydra loot table is hydra_default_55-57, and using the numSpawnMinEquation and numSpawnMa圎quation attribute values, we estimate that the chest should drop ~9 items each time (rounding down for the sake of a conservative estimate). Per the website, each item dropped from the Hydra's chest has a 0.077% chance of being an Aphrodite's Favor drop - this may not be completely accurate, but it's good enough for an order-of-magnitude calculation. What follows is an estimation of the probability of Aphrodite's Favor not dropping during this time. During this time, I did not get any such drops, but I did not get any Aphrodite's Favor drops either. Over the last two weeks, I did about 2000 Hydra chest runs, hoping to get a specific drop from it (see my username).
Below, I document evidence for why I think this is the case. Some bosses/heroes listed on website as being able to drop a specific item from their loot pool don't appear to actually be able to do so if the item's level is outside of the loot table's level ranges, and it does not appear that the item drop chances listed on the website take this into account.
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