Let's say a hypothetical company makes trading cards. There are 50 unique cards, and you can the cards in packs of 5. Cards don't repeat within a pack. There's no rarity and their packing methods are perfect, so the cards are evenly distributed.
How many packs would I need to buy for a 95% chance of getting a complete set (at least 1 of each card)?
I found this page, which has the formula for the number of packs I'd need to open to get a given card with 90% certainty. I plugged that back into the
ln(1-chance)/ln(1-odds) to get the odds of that happening for every card, but I'm not sure that's the right approach.
Thanks a bunch!