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A husband and wife have normal vision, a...

A husband and wife have normal vision, although both of their
fathers are red - green colour blind , which is inherited as an
x - linked recessive trait .
What is the probability that their first child will be ?
i. A normal son
ii. A carrier daughter
iii. A colour - blind son
iv. A colour - blind daughter

A

`i=1/4,ii=1/4,iii=1/4,iv=1/4`

B

`i=1/4,ii=1/4,iii=1/4,iv=0/4`

C

`i=0/4,ii=1/2,iii=1/4,iv=1/4`

D

`i=1/4,ii=1/2,iii=1/4,iv=0`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the genetic inheritance of red-green color blindness, which is an X-linked recessive trait. We will determine the probabilities of different outcomes for the first child of a couple where both parents have normal vision, but both of their fathers are color blind. ### Step 1: Determine the Genotypes of the Parents - Since both fathers are color blind (X-linked recessive), we can infer that: - The husband's genotype (normal vision) must be X^N Y (where X^N represents the normal vision allele). - The wife's genotype (normal vision but with a color blind father) must be X^N X^c (where X^c represents the color blind allele, making her a carrier). ### Step 2: Gamete Formation - The husband can produce two types of gametes: - X^N (normal vision) - Y (male) - The wife can produce two types of gametes: - X^N (normal vision) - X^c (carrier) ### Step 3: Punnett Square Analysis We can create a Punnett square to visualize the possible combinations of gametes from both parents: | | X^N (from wife) | X^c (from wife) | |----------|------------------|------------------| | **X^N (from husband)** | X^N X^N (normal daughter) | X^N X^c (carrier daughter) | | **Y (from husband)** | X^N Y (normal son) | X^c Y (color blind son) | ### Step 4: Determine the Probabilities From the Punnett square, we can summarize the possible genotypes and their corresponding probabilities: 1. **Normal Daughter (X^N X^N)**: 1 out of 4 (25%) 2. **Carrier Daughter (X^N X^c)**: 1 out of 4 (25%) 3. **Normal Son (X^N Y)**: 1 out of 4 (25%) 4. **Color Blind Son (X^c Y)**: 1 out of 4 (25%) ### Step 5: Determine the Probability for Each Outcome - **i. Probability of a normal son**: 1 out of 4 (25%) - **ii. Probability of a carrier daughter**: 1 out of 4 (25%) - **iii. Probability of a color-blind son**: 1 out of 4 (25%) - **iv. Probability of a color-blind daughter**: 0 out of 4 (0%) ### Final Summary of Probabilities - Normal Son: 1/4 - Carrier Daughter: 1/4 - Color Blind Son: 1/4 - Color Blind Daughter: 0/4
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