Nucleotides are the chemical components of DNA. There are 4 kinds of nucleotides (named for the bases they contain): adenine (A), guanine (G), cytosine (C), and thymine (T). A codon is a segment of DNA that is 3 nucleotides long. If all possible codons that can be formed are equally likely, what is the probability that a randomly selected codon contains 3 distinct nucleotides?

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Chapter1: Combinatorial Analysis
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7.) Nucleotides are the chemical components of DNA. There are 4 kinds of nucleotides (named
for the bases they contain): adenine (A), guanine (G), cytosine (C), and thymine (T). A codon is a
segment of DNA that is 3 nucleotides long. If all possible codons that can be formed are equally
likely, what is the probability that a randomly selected codon contains 3 distinct nucleotides? 

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