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If all the nucleotides are present with equal frequencies and at random, what are the chances of having a particular four nucleotide long motif?

If all the nucleotides are present with equal frequencies and at random, what are the chances of having a particular four nucleotide long motif? Correct Answer 1/256

There are four nucleotide bases present in a DNA sequence A, T, C and G. If the bases are present with equal frequency and at random the chances of having a particular 4 nucleotide long motif is 1/ (4*4)= 1/256.

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