Based on the family history provided, the skin condition is likely to be X-linked recessive. Here's the reasoning:
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Bob has the condition, and since he is male, he has one X chromosome (from his mother) and one Y chromosome (from his father). Being affected means he has the recessive allele for the skin condition on his X chromosome.
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Eleanor has normal skin and no family history of the condition, suggesting she likely has two normal alleles (XX), with no carriers in her lineage.
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The children’s inheritance pattern shows that all six sons have normal skin while all five daughters have the condition. Sons inherit their X chromosome from their mother (Eleanor) and Y chromosome from their father (Bob). Since Eleanor is normal, her sons must have received her normal X chromosome. Consequently, they cannot inherit the skin condition from Bob, who only passes on his Y chromosome to his sons.
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On the other hand, the daughters inherit one X from Bob and one X from Eleanor. Since Bob has the condition, he contributes the affected X chromosome to all his daughters, leading to their having the same condition.
Thus, the inheritance pattern aligns with traits that are X-linked recessive, where males are affected but females can show the condition if they have one affected X chromosome (from their father) and do not have a normal one to mask the effect (from their mother).
In summary:
- Sons are unaffected (inherited normal X from the mother).
- Daughters are affected (inherited affected X from the father).
Therefore, the most likely inheritance pattern for Bob’s skin condition is X-linked recessive.