In genome X the average GC content of genes is 48% and the GC content of regions between genes is 38%. In total, genes account for 82% of this genome (i.e. the remaining 18% of the genome are regions between genes). The sequence of one specific location is GGCCA. What is the probability that this 5- nucleotide is located inside a gene? We will assume that the frequencies of nucleotides at different nucleotide positions are independent. Also, for simplicity, we will assume that GGCCA never crosses a gene boundary, i.e. it is located either inside a gene or outside of genes.

Question: The probability that the five nucleotide stretch that starts at a randomly selected position inside a gene is GGCCA, P(GGCCA|gene) = ? I.e., we're randomly selecting a location inside a gene and looking for the probability that the sequence there is GGCCA.