Five loci defined by microarrays are known to contribute to meat quality in cattle. These can be tested using microarrays. Premium meat quality occurs when eight or more of the alleles at these five loci are of the “contributing” variety. An uppercase letter indicates a contributing allele and lowercase letter indicates a noncontributing allele. One can determine the genotype of cattle with a microarray. If the following genotypes of a cow and a bull (respectively) are crossed, what is the probability the first offspring will have eight or more contributing alleles? Assume all loci are autosomal and independent. AaBbccDDEe × AaBBCCDdEe

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