Puedes hacerlo mas facil y con el punett square echo
(Question 3): \( \frac{1}{2} \) (or 50%) ### Question 4
(Question 3): \( \frac{1}{2} \) (or 50%) ### Question 4
section 4: non mendelian genetics
Puedes hacerlo mas facil y con el punett square echo
section 4: non mendelian genetics
Puedes hacerlo mas facil y con el punett square echo
Let \( X^C \) be the normal allele and \( X^c \) be the colorblind allele. The female carrier has genotype \( X^C X^c \), and the male with normal vision has genotype \( X^C Y \).
The possible gametes for the female are \( X^C \) and \( X^c \). The possible gametes for the male are \( X^C \) and \( Y \). The Punnett square combinations for daughters (from \( X^C \) or \( Y \); we only consider \( X^C \) for daughters) are:
For daughters, the possible genotypes are \( X^C X^C \) and \( X^C X^c \), both with normal vision. The total number of daughter genotypes from the Punnett square (considering only female offspring) is 2 out of 2 (since male gamete \( Y \) gives sons). So the probability of a daughter with normal vision is \( \frac{2}{2} = 1 \)? Wait, no—wait, the Punnett square for all offspring: total 4 cells. Daughters are 2 cells (\( X^C X^C \), \( X^C X^c \)), sons are 2 (\( X^C Y \), \( X^c Y \)). Both daughter genotypes have normal vision (carrier is not colorblind, just a carrier). So the probability of a daughter (any daughter) having normal vision is \( \frac{2}{2} \) (since 2 daughter cells, both normal) or \( \frac{2}{4} \) (total offspring) but we want probability of daughter (so given it's a daughter, what's the chance of normal vision). Since all daughters (2 out of 4 total) have normal vision, the probability is \( \frac{2}{4} \) for a daughter (i.e., the chance that a child is a daughter with normal vision: probability of daughter is \( \frac{1}{2} \), and given daughter, probability of normal is 1. So combined: \( \frac{1}{2} \times 1 = \frac{1}{2} \)? Wait, no. Let's re-express:
The female is \( X^C X^c \), male \( X^C Y \).
Possible offspring:
So out of 4 offspring, 2 are daughters, both with normal vision. So the probability of having a daughter with normal vision is \( \frac{2}{4} = \frac{1}{2} \)? Wait, no—wait, the question is "probability of having a daughter with normal vision". So first, probability of having a daughter: \( \frac{1}{2} \). Then, given it's a daughter, probability of normal vision: 1 (since both daughter genotypes are normal). So by the law of total probability: \( P(\text{daughter}) \times P(\text{normal} | \text{daughter}) = \frac{1}{2} \times 1 = \frac{1}{2} \)? Wait, no—wait, the two daughter genotypes are both normal (one is homozygous normal, one is carrier). So regardless, a daughter will have normal vision. So the probability is \( \frac{2}{4} = \frac{1}{2} \) (since 2 out of 4 offspring are daughters with normal vision) or \( \frac{1}{2} \) (since 50% chance of daughter, and 100% chance that daughter has normal vision). So the probability is \( \frac{1}{2} \)? Wait, no—wait, the Punnett square has 4 cells. The daughters are 2 cells, both with normal vision. So the probability is \( \frac{2}{4} = \frac{1}{2} \)? Wait, no, the question is "probability of having a daughter with normal vision". So the possible outcomes are 4 (all offspring). The favorable outcomes are the two daughter cells (both normal). So \( \frac{2}{4} = \frac{1}{2} \)? Wait, no—wait, the female has \( X^C X^c \), male \( X^C Y \). The cross:
Gametes:
Offspring:
Let \( R \) be the red allele and \( W \) be the white allele. Roan cows have genotype \( RW \) (codominant, so both colors are expressed).
Both parents are \( RW \). The possible gametes for each are \( R \) and \( W \). The Punnett square is:
| | \( R \) | \( W \) |
|-------|--------|--------|
| \( R \) | \( RR \) | \( RW \) |
| \( W \) | \( RW \) | \( WW \) |
Roan offspring have genotype \( RW \). From the Punnett square, the \( RW \) genotypes are in two cells (top-right and bottom-left).
Total number of offspring genotypes: 4. Number of roan (\( RW \)): 2. So the probability is \( \frac{2}{4} = \frac{1}{2} \) (or 50%).
(Question 3):
\( \frac{1}{2} \) (or 50%)
Let \( X^C \) be the normal allele and \( X^c \) be the colorblind allele. The female carrier has genotype \( X^C X^c \), and the male with normal vision has genotype \( X^C Y \).
The possible gametes for the female are \( X^C \) and \( X^c \). The possible gametes for the male are \( X^C \) and \( Y \). The Punnett square combinations for daughters (from \( X^C \) or \( Y \); we only consider \( X^C \) for daughters) are:
For daughters, the possible genotypes are \( X^C X^C \) and \( X^C X^c \), both with normal vision. The total number of daughter genotypes from the Punnett square (considering only female offspring) is 2 out of 2 (since male gamete \( Y \) gives sons). So the probability of a daughter with normal vision is \( \frac{2}{2} = 1 \)? Wait, no—wait, the Punnett square for all offspring: total 4 cells. Daughters are 2 cells (\( X^C X^C \), \( X^C X^c \)), sons are 2 (\( X^C Y \), \( X^c Y \)). Both daughter genotypes have normal vision (carrier is not colorblind, just a carrier). So the probability of a daughter (any daughter) having normal vision is \( \frac{2}{2} \) (since 2 daughter cells, both normal) or \( \frac{2}{4} \) (total offspring) but we want probability of daughter (so given it's a daughter, what's the chance of normal vision). Since all daughters (2 out of 4 total) have normal vision, the probability is \( \frac{2}{4} \) for a daughter (i.e., the chance that a child is a daughter with normal vision: probability of daughter is \( \frac{1}{2} \), and given daughter, probability of normal is 1. So combined: \( \frac{1}{2} \times 1 = \frac{1}{2} \)? Wait, no. Let's re-express:
The female is \( X^C X^c \), male \( X^C Y \).
Possible offspring:
So out of 4 offspring, 2 are daughters, both with normal vision. So the probability of having a daughter with normal vision is \( \frac{2}{4} = \frac{1}{2} \)? Wait, no—wait, the question is "probability of having a daughter with normal vision". So first, probability of having a daughter: \( \frac{1}{2} \). Then, given it's a daughter, probability of normal vision: 1 (since both daughter genotypes are normal). So by the law of total probability: \( P(\text{daughter}) \times P(\text{normal} | \text{daughter}) = \frac{1}{2} \times 1 = \frac{1}{2} \)? Wait, no—wait, the two daughter genotypes are both normal (one is homozygous normal, one is carrier). So regardless, a daughter will have normal vision. So the probability is \( \frac{2}{4} = \frac{1}{2} \) (since 2 out of 4 offspring are daughters with normal vision) or \( \frac{1}{2} \) (since 50% chance of daughter, and 100% chance that daughter has normal vision). So the probability is \( \frac{1}{2} \)? Wait, no—wait, the Punnett square has 4 cells. The daughters are 2 cells, both with normal vision. So the probability is \( \frac{2}{4} = \frac{1}{2} \)? Wait, no, the question is "probability of having a daughter with normal vision". So the possible outcomes are 4 (all offspring). The favorable outcomes are the two daughter cells (both normal). So \( \frac{2}{4} = \frac{1}{2} \)? Wait, no—wait, the female has \( X^C X^c \), male \( X^C Y \). The cross:
Gametes:
Offspring:
So for a daughter (cases 1 and 2), both have normal vision. The probability of having a daughter is \( \frac{2}{4} = \frac{1}{2} \), and given it's a daughter, the probability of normal vision is 1. So the probability of a daughter with normal vision is \( \frac{2}{4} = \frac{1}{2} \)? Wait, no—wait, the question is "what is the probability of having a daughter with normal vision". So the chance that a child is a daughter AND has normal vision. The number of such children is 2 (the two daughters), out of 4 total children. So \( \frac{2}{4} = \frac{1}{2} \)? Wait, no—wait, the two daughters are both normal, so the probability is \( \frac{2}{4} = 0.5 \) or 50%? Wait, no—wait, the daughter genotypes: both are normal (carrier is not colorblind). So all daughters have normal vision. So the probability of a daughter (any daughter) having normal vision is 1 (since if it's a daughter, it's normal). But the probability of having a daughter with normal vision (i.e., the chance that a child is a daughter and has normal vision) is \( \frac{2}{4} = 0.5 \) (since 2 out of 4 children are daughters with normal vision).
(Question 3):
\( \frac{1}{2} \) (or 50%)
Let \( R \) be the red allele and \( W \) be the white allele. Roan cows have genotype \( RW \) (codominant, so both colors are expressed).
Both parents are \( RW \). The possible gametes for each are \( R \) and \( W \). The Punnett square is:
| | \( R \) | \( W \) |
|-------|--------|--------|
| \( R \) | \( RR \) | \( RW \) |
| \( W \) | \( RW \) | \( WW \) |
Roan offspring have genotype \( RW \). From the Punnett square, the \( RW \) genotypes are in two cells (top-right and bottom-left).
Total number of offspring genotypes: 4. Number of roan (\( RW \)): 2. So the probability is \( \frac{2}{4} = \frac{1}{2} \) (or 50%).
(Question 4):
\( \frac{1}{2} \) (or 50%)
¡Claro! Aquí lo dejo súper sencillo con los cuadros de Punnett listos:
---
| | \( X^C \) (mujer) | \( X^c \) (mujer) |
|--------|------------------|------------------|
| \( X^C \) (hombre) | \( X^C X^C \) (hija, visión normal) | \( X^C X^c \) (hija, portadora, visión normal) |
| \( Y \) (hombre) | \( X^C Y \) (hijo, visión normal) | \( X^c Y \) (hijo, daltónico) |
---
| | \( R \) (padre) | \( W \) (padre) |
|--------|----------------|----------------|
| \( R \) (madre) | \( RR \) (ternera roja) | \( RW \) (ternera roana) |
| \( W \) (madre) | \( RW \) (ternera roana) | \( WW \) (ternera blanca) |
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