1. **Problem 1: Hermione's Trait and Adoption Suspicion**
Hermione's parents are both Muggles with genotype Mm (dominant trait M for muggle, recessive m for witch). Hermione's genotype is mm (witch). We use a Punnett square to check if mm is possible from Mm x Mm.
2. **Punnett Square Setup:**
Parents: Mm x Mm
Possible gametes: M or m from each parent.
3. **Punnett Square:**
$$\begin{array}{c|cc}
& M & m \\
\hline
M & MM & Mm \\
m & Mm & mm \\
\end{array}$$
4. **Interpretation:**
Genotypes from parents: 1 MM, 2 Mm, 1 mm.
Phenotypes: 3 Muggle (MM or Mm), 1 Witch (mm).
5. **Conclusion:**
Hermione's mm genotype is possible from Mm x Mm parents, so she is not necessarily adopted.
1. **Problem 2: Draco's Widow's Peak Probability**
Draco's dad: WW (homozygous dominant), mom: Ww (heterozygous).
2. **Punnett Square Setup:**
Parents: WW x Ww
Gametes: Dad W only, Mom W or w.
3. **Punnett Square:**
$$\begin{array}{c|cc}
& W & w \\
\hline
W & WW & Ww \\
W & WW & Ww \\
\end{array}$$
4. **Interpretation:**
Genotypes: 2 WW, 2 Ww.
Phenotypes: All have widow's peak (W dominant).
5. **Conclusion:**
Chance child has widow's peak = 100%.
1. **Problem 3: Harry's Eye Color Probability**
Blue eyes recessive: bb.
Harry's dad: Bb (heterozygous brown eyes).
Harry's mom: bb (blue eyes).
2. **Punnett Square Setup:**
Parents: Bb x bb
Gametes: Dad B or b, Mom b only.
3. **Punnett Square:**
$$\begin{array}{c|cc}
& b & b \\
\hline
B & Bb & Bb \\
b & bb & bb \\
\end{array}$$
4. **Interpretation:**
Genotypes: 2 Bb (brown eyes), 2 bb (blue eyes).
Phenotypes: 50% brown eyes, 50% blue eyes.
5. **Conclusion:**
Chance Harry has blue eyes (bb) = 50%.
1. **Problem 4: Ron's Red Hair Family**
Red hair is recessive (rr), brown hair dominant (R).
All family members have red hair, so genotype must be rr.
2. **Punnett Square Setup:**
Parents: rr x rr
Gametes: r only.
3. **Punnett Square:**
$$\begin{array}{c|cc}
& r & r \\
\hline
r & rr & rr \\
r & rr & rr \\
\end{array}$$
4. **Interpretation:**
All offspring rr, all have red hair.
5. **Conclusion:**
All children have red hair because both parents are homozygous recessive.
Genetics Punnett C105D5
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.