A key to recombinant DNA technology (genetic engineering) is the ability to cut DNA at specific sites. In a genome with 50% GC content, a restriction endonuclease with a 6-base pair recognition site (such as EcoRI, that cuts at GAATTC) will cut, on average, once every ______ nucleotides. Answer with a whole number to fill in the blank. Another way to think about this question is: what is the probability that a random 6-nucleotide sequence will have the sequence GAATTC?

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