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rittenhousewest Good question, and I'm not sure I can answer it 😅 I think it's sort of like an anti-Monty Hall problem: you have to sum over all the priors and then you get 1/17. There's also this answer which works it out for the first two cases: ask.metafilter.com/357711/How-many-pairs-in-a-deck-drawn-two-cards-at-a-time#5107570