PokéBase - Pokémon Q&A

# What are the odds of both people getting the same first Pokemon in a Gen 8 Random Battle?

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Both me and my opponent have gotten the same lead Pokemon before (Sandaconda, Volcarona, etc.), and it seems more common than I would have initially believed.

I'd assume it would just be 1/# of Pokémon available squared.
Thats partially true but you gave to take into consideration the fact that theres 6 slots it can fall into
I don't think the number 6 matters here because there's only one lead Pokemon on each team. If 2 people each flip a coin n times, the chance of getting the same result on the first flip is 1/2, which is true if n = 6, 5, 4, or any integer greater than 0. I don't know how many Pokemon can be leads or whether each Pokemon has the same chance of being a lead, so you'll probably get a better answer if you ask here: https://www.smogon.com/forums/threads/ask-simple-questions-here-read-original-post-before-posting.3520646/
I agree with sumwun, and I'm pretty sure that all Pokemon can be leads. So just every fully evolved Pokemon in Swsh plus Dusclops and Porygon-2. Although I think there are other mechanics in play for what Pokemon you get, as you always seem to get a legendary
It should probably be 1 by total number of mons ag to zu.