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Question
- a woman who is a carrier marries a normal man. show the cross. what is the probability that their children will have hemophilia? what sex will a child in the family with hemophilia be?
Hemophilia is an X - linked recessive disorder. Let's denote the normal X chromosome as \(X^H\) and the X chromosome with the hemophilia allele as \(X^h\).
Step 1: Determine the genotypes of the parents
The woman is a carrier, so her genotype is \(X^H X^h\). The man is normal, so his genotype is \(X^H Y\).
Step 2: Set up the Punnett square
The woman can produce two types of gametes: \(X^H\) and \(X^h\). The man can produce two types of gametes: \(X^H\) and \(Y\).
| \(X^H\) | \(Y\) | |
|---|---|---|
| \(X^h\) | \(X^H X^h\) (carrier female) | \(X^h Y\) (hemophiliac male) |
Step 3: Calculate the probability of having a child with hemophilia
From the Punnett square, out of 4 possible offspring genotypes, only 1 (\(X^h Y\)) has hemophilia. So the probability is \(\frac{1}{4}\) or 25%.
Step 4: Determine the sex of a child with hemophilia
Looking at the Punnett square, the hemophiliac child has the genotype \(X^h Y\), which is a male genotype.
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- The cross (Punnett square) is as shown above.
- The probability that their children will have hemophilia is \(\frac{1}{4}\) (or 25%).
- A child in the family with hemophilia will be male.