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I found three shinies on the same floor earlier today and now it’s been at least 5 in game hours without a single one

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Nobody knows the shiny odds for Rescue Team DX. Only 27 Pokemon can appear as shiny. For more info, visit:.         https://www.serebii.net/dungeonrescueteamdx/shinypokemon.shtml
I've converted this into a comment because I'm pretty positive there's a better answer than "nobody knows".
It seems the exact odds aren't known. However:
"27 Mystery Dungeons, once completed for the first time, will have "Strong Foe" Pokémon that spawn. These Pokémon have a higher than normal chance of being Shiny compared to the main series." ( https://bulbapedia.bulbagarden.net/wiki/Shiny_Pok%C3%A9mon#Pok.C3.A9mon_Mystery_Dungeon:_Rescue_Team_DX )

In addition, an old-ish Reddit thread ( https://www.reddit.com/r/MysteryDungeon/comments/fikuu3/do_we_know_the_spawn_rate_of_shiny_pokemon_yet_in/ ) seems to demonstrate fairly high odds. While it may be true that no one knows the exact odds, we can be reasonably sure that they're higher than 1/4096.

Let me know if this is enough for a full answer.
I’d prefer some type of study, even if it’s like “I did Y dungeons with strong foe and X were shiny, making this appear to be n”

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