Answer :
Final answer:
Without correct initial conditions or allele frequencies, we cannot determine the expected genotype frequencies after one generation of random mating. However, if BB, Bb, and bb represent genotypes, we can calculate the allele frequencies and use those to predict the next generation's genotype frequencies.
Explanation:
To determine the expected genotype frequencies after one generation of random mating, we use the Hardy-Weinberg principle. This principle states that the frequencies of alleles and genotypes in a population's gene pool will remain constant over generations if certain conditions are met, including random mating. However, without allele frequencies, we cannot calculate the expected genotype frequencies directly from the given starting frequencies of 30 A, 20 B, and 50 B (which are likely to be a typo, as A and B seem to represent alleles but are not identified as either dominant or recessive), and also there are no initial conditions that clarify whether these represent allele frequencies or genotype numbers for a particular allele.
Given a hypothetical correct scenario where BB, Bb, and bb represent the genotypes with initial numbers in a population of 50 individuals, the allele frequency can be calculated. For example, if the population has 30 BB, 10 Bb, and 10 bb, then the frequency of allele B is (2*30 + 10)/(2*50) = 0.7 and the frequency of allele b is (2*10 + 10)/(2*50) = 0.3. Using these frequencies, we would then predict the genotype frequencies for the next generation.
