2022 09 01
Suppose there are 10 marble types in the million marble urn, and you make 100 200 draws. Then you can conclude that with probability at least A% that no marble that occurs with probability greater than 2% has been missed, in which case the missing marbles can account for at most B% of the urn’s contents. What are A and B?
Suppose you want to be be 95% confident that you have drawn marbles representative of 90% of the urn. You know that there are 7 types of marbles in the urn. What is the largest probability p that no marble type occurs with probability greater than p? And what is the fewest number of draws N that need to be made?