Inspired genetics problem
You hydrolyze some fruit fly DNA. Under the conditions you use, the DNA is broken down into dinucleotides. In your hydrolysate, you have all possible combinations of dinucleotides. Then, you purify the products (dinucleotides) and add all necessary fruit fly transcription factors, enzymes, and RNA mononucleotides and allow transcription to occur. After transcription, you theoretically purify the products such that only RNA dinucleotides are removed.
If you measure the proportions of the various RNA dinucleotides, you expect to find that the percentage of
I: AU = UA
II: AA = UU
III: AA = GG
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1 solution
Once you break the DNA into all possible random dinucleotides, it's going to be missing gene sequences like promoters--they're all chopped up! Thus, the transcription factors and enzymes have nowhere to really bind because they can't find the sequences they are looking for, and you're not going to have a transcription complex that is able to do anything. There won't be any RNA dinucleotides as product, so the percentages of AU, UA, AA, UU, GG will all be equal--zero.