Answer:
The probability that a heterozygous mother will give birth to a child with only one copy of the recessive allele is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Let the recessive allele causing lethal disease be represented by "r"
Let the dominant allele causing no lethal disease be represented by "R"
Genotype of heterozygous mother will be [tex]X_RX_r[/tex]
Genotype of heterozygous mother will be [tex]X_rY[/tex]
A cross between [tex]X_RX_r[/tex] and [tex]X_rY[/tex] will produce following offspring
[tex]X_RX_r[/tex]
[tex]X_RY[/tex]
[tex]X_rX_r[/tex]
[tex]X_rY[/tex]
Thus, out of four offspring only child with genotype [tex]X_rY[/tex] will die
Thus, only three offspring remain alive and out of these three only one child with genotype [tex]X_RX_r[/tex] has one copy of recessive allele.
Thus, the probability that a heterozygous mother will give birth to a child with only one copy of the recessive allele is [tex]\frac{1}{3}[/tex]