Given the following information, what is the probability that they will have a daughter with hemophilia?

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.

Answer 1

50%

Let's structure this issue as follows:

We are dealing with the functioning of a recessive gene. You might be familiar with a similar setup for calculating the likelihood of having brown versus blue eyes (the B in brown represents the dominant gene, and the b in blue represents the recessive gene; note that there are numerous causes for eye color, similar to hemophilia, but for the purposes of a fast calculation, this works).

The two genes that determine eye color are contributed by the mother and the father; the combination of these two genes determines the color of the eyes.

The gene that each parent contributes to their child's genetic makeup depends on their own genetic makeup. If both parents give their child a B or a b, the child will have two genes, and the possible outcomes are:

BB Bb bB bb

The child's eyes will be brown if the child's genetic makeup contains a B, and blue if both genes are B.

The genetic makeup of the parents plays a major role in determining what is contributed. For example, if a parent has brown eyes and is genetically predisposed to be BB, then that parent is likely to contribute a B gene; however, if the parent is genetically predisposed to be Bb, then the contribution of that gene is likely to be in the balance.

Now that we have that background, let's address the question.

The gene for no hemophilia is "H"; if the H is present, the child will not have hemophilia. Let's say the hemophilia gene is marked "h".

Given that we know the child's parents contributed to their genetic makeup, what genetic makeup does the child have?

Dad's genetic makeup is "hh" due to hemophilia, so he will contribute a "h" gene.

We know that Mom's genetic makeup is Hh because her father had hemophiliac disease, but she is normal and therefore has at least one H in her makeup. Her father's genetic makeup includes an h.

Therefore, her contribution of an H or an h is split 50/50.

Let's now list all of the potential outcomes (I've included subscripts to reflect the genes from each parent):

#H_(M1)h_(D1)# #H_(M1)h_(D2)# #h_(M2)h_(D1)# #h_(M2)h_(D2)#

Furthermore, there is a 50% possibility that the child will have hemophilia.

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Answer 2

To calculate the probability of having a daughter with hemophilia, I would need the specific genetic information provided, such as the genotypes of the parents and whether hemophilia is a recessive or dominant trait in this case. Without this information, I cannot determine the probability accurately.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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