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Let's see what combinations can be formed.

HH, HH, Hh, Hh.

So, yes their offspring can contain the recessive allele.

(THe offspring can be a carrier of the recessive allele.)

However, since it is impossible for the offspring to be homozygous recessive,

the recessive trait/gene will not show in the offspring's phenotype.

Hope that helps!

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Q: If a dominant homozygous reproduced with a heterozygous could their offspring be recessive?
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