Find out the frequency of AabbCcDdee if parents are AabbCCddEe and AabbccDdee

Options

A. `0.78%`
B. `12.5%`
C. `25%`
D. `50%`

Answer

To find the frequency of the genotype AabbCcDdee from the parents AabbCCddEe and AabbccDdee, we will analyze each gene independently and then combine the results. Here’s a step-by-step breakdown of the solution:

### Step 1: Analyze Gene A
- **Parents:** AabbCCddEe (AA or Aa) x AabbccDdee (Aa)
- **Possible Alleles in Progeny:** A or a
- **Frequency Calculation:**
- Possible combinations: AA, Aa, aa
- The frequency of A (from AA or Aa) = 0.5 (since A can be either A or a)

### Step 2: Analyze Gene B
- **Parents:** AabbCCddEe (bb) x AabbccDdee (bb)
- **Possible Alleles in Progeny:** b (only)
- **Frequency Calculation:**
- Since both parents are bb, the progeny will also be bb.
- The frequency of b = 1

### Step 3: Analyze Gene C
- **Parents:** AabbCCddEe (CC) x AabbccDdee (cc)
- **Possible Alleles in Progeny:** C or c
- **Frequency Calculation:**
- Possible combinations: CC, Cc, cc
- The frequency of C (from CC or Cc) = 1 (since one parent is homozygous dominant)

### Step 4: Analyze Gene D
- **Parents:** AabbCCddEe (Dd) x AabbccDdee (dd)
- **Possible Alleles in Progeny:** D or d
- **Frequency Calculation:**
- Possible combinations: Dd, dd
- The frequency of D = 0.5 (since D can be either D or d)

### Step 5: Analyze Gene E
- **Parents:** AabbCCddEe (Ee) x AabbccDdee (ee)
- **Possible Alleles in Progeny:** E or e
- **Frequency Calculation:**
- Possible combinations: Ee, ee
- The frequency of e = 0.5 (since E can be either E or e)

### Step 6: Combine Frequencies
Now that we have the frequencies for each gene:
- Frequency of A = 0.5
- Frequency of b = 1
- Frequency of C = 1
- Frequency of D = 0.5
- Frequency of e = 0.5

To find the overall frequency of the genotype AabbCcDdee, we multiply the frequencies:
\[ \text{Total Frequency} = 0.5 \times 1 \times 1 \times 0.5 \times 0.5 = 0.125 \]

### Step 7: Convert to Percentage
To express this frequency as a percentage:
\[ 0.125 \times 100 = 12.5\% \]

### Final Answer
The frequency of the genotype AabbCcDdee is **12.5%**.

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