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Yep, its not a graded thing, unfortunately a real world sampling issue. Compositepro, The more i've been thinking about it the closer I think you are. I was going down a similar path just from the other side of things but your solution seems correct. Anyone else have any thoughts before we...

So its 1501 to 100% ensure you have one of each. But I keep coming back to only really needing a 95% certainty which is where things get fuzzy

So I have a box with 2000 lets call them marbles. I need to determine how many marbles I need to sample to make sure i get at least one from each of 4 500 marble subsets. How would the number change if i only needed a 95% confidence interval for getting one from each subset. Thoughts?