EDIT: Ok of course as soon as I post this I get a trident. But, I definitely had to change my strategy up. I found a river biome at night and used a rinse-and-repeat strategy of generated as many drowned, killing any trident holders, then going really high up with an elytra and despawning them. Still, I had to kill like 7 more trident holders before getting one, which only reinforces how unlucky I was (<5% worst chances). That is---10% of people have killed as many drowned as I have without getting a trident.
Original:
Not a support thread. I've killed like 15 drowned holding tridents with a Fire Aspect II, Smite V, Looting III sword and gotten zero tridents. The wiki claims 11.5% is the success rate with my enchantments, but plugging that into a binomial distribution puts my case in the unlucky 15%. I refuse to cave in and build a useless farm for just this item. (I've found 4 trident-holding drowned in the last hour, so the number is higher).
It also doesn't help at all that drowned do not spawn in our Realm, unless you find some underwater ruins. It might be due to some chunk loading elsewhere from a Zombie Piglin farm (I blame my friend), but surely that's more than 15 chunks away? Ugh!
Fucking Mojang...
Cool pic provided as a reward for reading that drivel
Low RNG is always the worst way to reward effort, though. Just have the enemies drop a crafting material that you need 9 of to make a trident. There's your 11% drop rate.