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Q12:
A child has blood group O. If the father has blood group A and mother blood group B, work out the genotypes of the parents and the possible genotypes of the other offsprings.

Solution :

Step 1: Identifying Genetic Basis of ABO Blood Grouping

The human ABO blood group system is governed by a gene $I$ which has three allelic forms: $I^A$, $I^B$, and $i$. [Per the Law of Multiple Allelism]. The alleles $I^A$ and $I^B$ are codominant, while $i$ is recessive to both. The phenotypes and corresponding genotypes are established as follows:

Blood Group (Phenotype) Possible Genotypes
A $I^A I^A$ or $I^A i$
B $I^B I^B$ or $I^B i$
AB $I^A I^B$
O $ii$

Step 2: Determining Parental Genotypes

The child has blood group O, which corresponds to the homozygous recessive genotype $ii$. [By the Law of Segregation, one $i$ allele must be inherited from each parent].

  • Since the father has blood group A, his genotype must be $I^A i$ (as he must provide an $i$ allele).
  • Since the mother has blood group B, her genotype must be $I^B i$ (as she must provide an $i$ allele).

Parental Genotypes: Father ($I^A i$) $\times$ Mother ($I^B i$).

Step 3: Punnett Square Analysis

To determine the possible genotypes of the offspring, we perform a cross between $I^A i$ and $I^B i$.

$I^B$ $i$ $I^A$ $i$ $I^A I^B$ $I^A i$ $I^B i$ $ii$

Step 4: Analyzing Possible Offspring

Based on the Punnett square, the genotypic ratio is $1:1:1:1$ for the genotypes $I^A I^B$, $I^A i$, $I^B i$, and $ii$.

  • $I^A I^B$: Blood group AB
  • $I^A i$: Blood group A
  • $I^B i$: Blood group B
  • $ii$: Blood group O

Final Solution: The parental genotypes are Father ($I^A i$) and Mother ($I^B i$). The other possible genotypes for their offspring are $I^A I^B$ (AB), $I^A i$ (A), and $I^B i$ (B), with each phenotype occurring with a probability of 25%.


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