Final answer:
The assumptions of the Hardy-Weinberg theorem are that populations are infinite and do not experience changes in allele frequencies due to chance, all possible genotypes at a locus are equally likely to survive and reproduce, alleles do not enter or leave a population through migration, and mutation leading to new alleles does not occur.
Step-by-step explanation:
The assumptions of the Hardy-Weinberg theorem are as follows:
- Populations are infinite and do not experience changes in allele frequencies due to chance.
- All possible genotypes at a locus are equally likely to survive and reproduce.
- Alleles do not enter or leave a population through migration.
- Mutation leading to new alleles does not occur.
These assumptions are necessary for a population to remain in Hardy-Weinberg equilibrium, meaning that allele and genotype frequencies do not change over time.