To determine the chances of the offspring having the recessive trait when a recessive female from Generation III (we can denote her genotype as "aa") has offspring with a heterozygous male (we can denote his genotype as "Aa"), we can use a simple Punnett square.
- The recessive female (aa) can only pass on the recessive allele (a).
- The heterozygous male (Aa) can pass on either the dominant allele (A) or the recessive allele (a).
Setting up the Punnett square:
A | a
-----------------
a | Aa | aa
-----------------
a | Aa | aa
From this Punnett square, we can see the potential offspring genotypes:
- 50% will be heterozygous (Aa) – they will not express the recessive trait.
- 50% will be homozygous recessive (aa) – they will express the recessive trait.
Therefore, the chances that the offspring will have the recessive trait are 50%.