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A husband and wife have normal vision, although both of their fathers are red- green color-blind, inherited as an X-linked recessive condition. What is the probability that their first child will be (a) a normal son, (b) a normal daughter, (c) a color-blind son, (d) a color-blind daughter?

Short Answer

Expert verified
Answer: The probabilities for their first child are as follows: - Normal son: 25% - Normal daughter: 25% - Color-blind son: 25% - Color-blind daughter: 25%

Step by step solution

01

1. Identify the genotypes of the parents

The problem states that both the husband and the wife have normal vision, but both of their fathers are red-green color-blind. Since the color-blindness gene is X-linked recessive, we can determine their genotypes: - The husband (the male) has XY chromosomes, and since he is not color-blind, his genotype must be X^NY (N stands for normal, and his Y chromosome does not carry the colorblind gene). - The wife (the female) has XX chromosomes. As both her father and her paternal grandfather were colorblind, she must have inherited an X^N chromosome from her mother, but since she is not colorblind, her genotype must be X^NX^R (R stands for color-blind).
02

2. Create a Punnett square

Now, we will create a Punnett square to determine the genotypes of their potential offspring. With one letter from each parent, the square will look like this: X^N (from father) Y (from father) X^N (from mother) X^NX^N X^NY X^R (from mother) X^NX^R X^RY
03

3. Calculate the probabilities

Using the Punnett square, we can now calculate the probability for each type of child: (a) For a normal son (X^NY): The probability is 1 out of 4 squares, so the probability is 1/4 or 25%. (b) For a normal daughter (X^NX^N): The probability is 1 out of 4 squares, so the probability is 1/4 or 25%. (c) For a color-blind son (X^RY): The probability is 1 out of 4 squares, so the probability is 1/4 or 25%. (d) For a color-blind daughter (X^NX^R): The probability is 1 out of 4 squares, so the probability is 1/4 or 25%. Final probabilities for their first child: - Normal son: 25% - Normal daughter: 25% - Color-blind son: 25% - Color-blind daughter: 25%

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Most popular questions from this chapter

Horses can be cremello (a light cream color), chestnut (a reddish brown color), or palomino (a golden color with white in the horse's tail and mane). Of these phenotypes, only palominos never breed true. The following results have been observed: cremello \(\times\) palomino \(\longrightarrow 1 / 2\) cremello \(1 / 2\) palomino chestnut \(\times\) palomino \(\longrightarrow 1 / 2\) chestnut \(1 / 2\) palomino palomino \(\times\) palomino \(\longrightarrow 1 / 4\) chestnut \(1 / 2\) palomino \(1 / 4\) cremello (a) From these results, determine the mode of inheritance by assigning sene symbols and indicating which genotypes yield which phenotypes. (b) Predict the \(\mathrm{F}_{1}\) and \(\mathrm{F}_{2}\) results of many initial matings between cremello and chestnut horses.

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