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## Main Question or Discussion Point

So I have a research problem and I am not very good at statistics. I need to amplify a library of dna molecules with a set number of dna species and transform them into a organism. Basically, I need to know how many moles of the library I need in order to be confident that I am getting at least one transformant of each of the dna species when I know the efficiency of the transformation step.

If I assume that each dna species is equally likely to be transformed, then this problem sounds exactly like some of the statistics homework questions that I was never very good at. Math comes back to haunt me. I want to know for a high confidence level, how many transformants I need to ensure that I get at least one transformant of every different dna species. So if I want 99% confidence, and I have X dna species in a pool, how many times must I pick from that pool to ensure I get every one?

If I assume that each dna species is equally likely to be transformed, then this problem sounds exactly like some of the statistics homework questions that I was never very good at. Math comes back to haunt me. I want to know for a high confidence level, how many transformants I need to ensure that I get at least one transformant of every different dna species. So if I want 99% confidence, and I have X dna species in a pool, how many times must I pick from that pool to ensure I get every one?