Hemophilia is caused by several genetic factors; one, a recessive allele of an X- linked gene, is the subject of this problem. Assume that a man with hemophilia marries a normal woman whose father had hemophilia. What is the probability that their first son will have hemophilia?
1. 1/16
2. 1/8
3. 1/4
4. 1/2
5. 3/4
The correct answer is 4. 1/2
Explanation: The genotype of a man with hemophilia: XhY where h is a recessive allele of the hemophilia gene. [ Hemophilia is an X-linked recessive disorder]
A normal woman whose father had hemophilia is obviously the carrier for hemophilia because she will get one X chromosome from her father. So, her genotype: XHXh where H is the dominant allele of the hemophilia gene.
Now, the man mate with the woman.
So, if we use the punnet square,
Xh | Y | |
XH | XHXh | XHY |
Xh | XhXh | XhY |
XHXh : Carrier daughter.
XHY: Normal son.
XhXh: Hemophilic daughter.
XhY: Hemophilic son.
Therefore, the probability that their first son will have hemophilia= 1/2 (Here we do not have to add the probability for sex to the solution because we are only considering males here).
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