Final answer:
For Hardy-Weinberg equilibrium to occur, the conditions that must be true are random mating, no mutations, no gene flow, and no natural selection.
Step-by-step explanation:
The conditions that must be true for Hardy-Weinberg equilibrium to occur are:
- Random mating: Individuals in the population must mate randomly, without any preference for specific traits or individuals.
- No mutations: There should be no new traits appearing through gene mutations.
- No gene flow: There should be no movement of genes into or out of the population through migration.
- No natural selection: There should be no advantage or disadvantage associated with specific traits, so that there is no selection pressure on the population.