I suspect the question is not about fixed frequencies, if so, you are almost right.
What I suspect the question means by "fixed" is homogenous allies, that occurs in relatively small ISOLATED populations, where inbreeding occurs, and the allele types become homozygous. And, it turns out, since all alleles are the same, the allele frequency is exactly 100 percent, with no change.
Now in small populations, which are not isolated, the allele frequency will not be stable at all.
So decide what the word "fixed" means here. You may be right, I would have asked " the allele frequency to become fixed" if I meant that to be the question. Check the wording, you might have missed a word in typing.
In what size populations might you expect it to be relatively common for alleles to become fixed? Why?
I think that larger populations would be more likely to have fixed alleles, since perfect Hardy-Weinberg equilibrium states that there will be no change in allele frequency if the population is infinitely large, but I'm not 100% sure.
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