8. (Genetics) Let p and q be positive numbers with p + q = 1. For a gene with dominant allele A and recessive allele

a, let p2, 2pq, and q2 be the probabilities that a randomly selected person from a population has genotype AA, Aa, and aa, respectively. A group of six members of the population is selected randomly. Determine the value of p that maximizes the probability of the event of obtaining two AA’s, two Aa’s, and two aa’s.