Problem 1: Sequencing DNA Each DNA base can be one of four nucleotides (A, T, C or G). Placed into a sequence with one another, they form a code which can be read by the cell to provide a blueprint for the creation of proteins. The sequences of three nucleotides TAA, TAG, and TGA are special: they are stop sequences that tell the cell to stop reading the DNA. Assume that each sequence of nucleotides is equally likely to be formed. A. In how many ways can a sequence of three nucleotides be formed? B. Out of the possible ways to form a sequence of three nucleotides, what is the probability to form a stop sequence? C. What is then the probability of a sequence of three nucleotides to be a non stop sequence? D. A particular threenucleotide sequence is engineered as follows: 0 The rst location can have any nucleotide except for A. o The second location must have the nucleotide G. o The third location cannot have the nucleotides C or T. For example, TGG is allowed but TGC or AGG are not. How many sequences can be engineered this way? E. Of the number of sequences found in Part D, what is the probability that a stop sequence is formed