The Brief
Before You Enter🧩 Your Mission
A monohybrid cross tracks ONE gene with TWO alleles. A dihybrid cross tracks TWO genes, each with TWO alleles — giving FOUR possible gamete types and a 4×4 Punnett square with 16 boxes. The maths looks scary but the logic is identical — you're just doing two monohybrid crosses at the same time.
The key rule that makes it all work: Mendel's Law of Independent Assortment — genes on different chromosomes are inherited independently. Each gamete gets one allele from each gene pair, combined randomly.
🌱 The Example We'll Use Throughout
Pea plants — Mendel's original organism. Two genes:
Gene 1 — Seed colour: Y = Yellow (dominant), y = green (recessive)
Gene 2 — Seed shape: R = Round (dominant), r = wrinkled (recessive)
A plant with genotype YyRr has yellow, round seeds — and is heterozygous for both genes.
🔑 The 4 Key Concepts — Know These Before Room 1
| Feature | Monohybrid Cross | Dihybrid Cross |
|---|---|---|
| Genes tracked | 1 | 2 |
| Alleles involved | 2 | 4 (2 per gene) |
| Gamete types (heterozygote) | 2 (B, b) | 4 (YR, Yr, yR, yr) |
| Punnett square size | 2×2 = 4 boxes | 4×4 = 16 boxes |
| F2 phenotypic ratio | 3:1 | 9:3:3:1 |
| Key law | Law of Segregation | Law of Independent Assortment |
Puzzle Rooms
Solve in OrderEach room teaches one skill you need to complete a dihybrid cross. Master them in order and the whole thing clicks into place.
📖 The Code
A dihybrid genotype contains alleles for TWO genes, written together. Each gene is represented by a letter pair. Write gene 1 alleles first, then gene 2 alleles — always uppercase before lowercase within each gene.
✅ Examples
- YYRR — homozygous dominant for both genes (yellow round)
- YyRr — heterozygous for both (yellow round, carries green + wrinkled)
- Yyrr — heterozygous yellow, homozygous wrinkled (yellow wrinkled)
- yyrr — homozygous recessive both (green wrinkled)
🧮 The FOIL Method
For a dihybrid genotype, separate each gene into its possible gametes first, then combine them systematically.
For YyRr:
Gene 1 gametes: Y or y
Gene 2 gametes: R or r
Now combine each option of gene 1 with each option of gene 2:
🎯 The 4 Gametes of YyRr
- YR — dominant allele from each gene
- Yr — dominant Y, recessive r
- yR — recessive y, dominant R
- yr — recessive allele from each gene
Each gamete type occurs with equal frequency — 25% each.
📊 Gametes for Common Genotypes
| Genotype | Gametes Produced | Number of Types |
|---|---|---|
| YYRR | YR only | 1 |
| YYRr | YR, Yr | 2 |
| YyRR | YR, yR | 2 |
| YyRr | YR, Yr, yR, yr | 4 |
| Yyrr | Yr, yr | 2 |
| yyrr | yr only | 1 |
Write the 4 gametes of each parent along the top and side
For a YyRr × YyRr cross, both parents produce gametes: YR, Yr, yR, yr. Place parent 1's gametes across the top (4 columns), parent 2's down the left (4 rows).
Fill each box: combine the column gamete + row gamete
Each box gets the alleles from the column header + the row header. Always write capital letters first within each gene pair. The result is a 4-allele genotype like YYRr or Yyrr.
The completed 4×4 square for YyRr × YyRr
| YR | Yr | yR | yr | |
|---|---|---|---|---|
| YR | YYRR | YYRr | YyRR | YyRr |
| Yr | YYRr | YYrr | YyRr | Yyrr |
| yR | YyRR | YyRr | yyRR | yyRr |
| yr | YyRr | Yyrr | yyRr | yyrr |
🟢 Green = Yellow Round (9) 🟡 Tan = Yellow Wrinkled or Green Round (3+3) 🔴 Red = Green Wrinkled (1)
🔢 How to Count
For each box, determine the phenotype by checking each gene separately. Does it have at least one Y? → Yellow. Does it have at least one R? → Round. Count all 16 boxes into 4 phenotype groups.
📊 The 4 Groups
- 9 — Yellow Round (Y_R_): at least one Y AND one R
- 3 — Yellow Wrinkled (Y_rr): at least one Y, but rr
- 3 — Green Round (yyR_): yy, but at least one R
- 1 — Green Wrinkled (yyrr): yy AND rr
🎯 Shortcut: Use the Probability Method
Instead of drawing the full 4×4 square, multiply the monohybrid probabilities:
- From Yy × Yy: P(yellow) = 3/4, P(green) = 1/4
- From Rr × Rr: P(round) = 3/4, P(wrinkled) = 1/4
- P(yellow AND round) = 3/4 × 3/4 = 9/16
- P(yellow AND wrinkled) = 3/4 × 1/4 = 3/16
- P(green AND round) = 1/4 × 3/4 = 3/16
- P(green AND wrinkled) = 1/4 × 1/4 = 1/16
🎯 The Principle
Just like a monohybrid test cross, you cross an unknown genotype with the homozygous recessive for both genes (yyrr). The yyrr parent produces only one gamete type (yr), so all variation in the offspring comes from the unknown parent — revealing its genotype.
📊 Reading the Results
- 4 phenotype groups in 1:1:1:1 → unknown is YyRr
- 2 groups in 1:1 (yellow/green, both round) → unknown is YyRR
- 2 groups in 1:1 (both yellow, round/wrinkled) → unknown is YYRr
- 1 group only (all yellow round) → unknown is YYRR
Example: YyRr × yyrr
| YR | Yr | yR | yr | |
|---|---|---|---|---|
| yr | YyRr | Yyrr | yyRr | yyrr |
Result: 1 Yellow Round : 1 Yellow Wrinkled : 1 Green Round : 1 Green Wrinkled → confirms parent is YyRr
Gamete Builder
Interactive Tool⚙️ Enter Any Dihybrid Genotype
Type a dihybrid genotype (e.g. YyRr, YYRR, Yyrr) and see all possible gametes generated instantly. Use any two letter combinations — uppercase = dominant, lowercase = recessive.
Enter a 4-letter dihybrid genotype above and click Generate.
💡 Quick Reference — Gametes by Genotype Pattern
| Pattern | Gametes | How Many Types | Punnett Size |
|---|---|---|---|
| AABB | AB | 1 | 1×1 |
| AABb or AaBB | AB, Ab OR AB, aB | 2 | 2×2 |
| AaBb | AB, Ab, aB, ab | 4 | 4×4 |
| AAbb or aaBB | Ab OR aB | 1 | 1×1 |
| Aabb or aaBb | Ab, ab OR aB, ab | 2 | 2×2 |
| aabb | ab | 1 | 1×1 |
Worked Cross
Full Solution📐 The Full Method — Step by Step
Cross: Two pea plants, both heterozygous for seed colour (Yy) and seed shape (Rr). What are the expected phenotypic ratios of offspring? Work through every step exactly as you would in an exam.
Write out the parental genotypes and phenotypes
Both parents are heterozygous for both genes — yellow (dominant) and round (dominant) phenotype.
Determine the gametes each parent can produce
YyRr separates into 4 gamete types using independent assortment — one allele from each gene per gamete.
Set up and complete the 4×4 Punnett square
| YR | Yr | yR | yr | |
|---|---|---|---|---|
| YR | YYRR | YYRr | YyRR | YyRr |
| Yr | YYRr | YYrr | YyRr | Yyrr |
| yR | YyRR | YyRr | yyRR | yyRr |
| yr | YyRr | Yyrr | yyRr | yyrr |
Count the phenotype groups
- Yellow Round (Y_R_): YYRR, YYRr, YyRR, YyRr, YYRr, YyRr, YyRR, YyRr, YyRr = 9 boxes
- Yellow Wrinkled (Y_rr): YYrr, Yyrr, Yyrr = 3 boxes
- Green Round (yyR_): yyRR, yyRr, yyRr = 3 boxes
- Green Wrinkled (yyrr): yyrr = 1 box
State the phenotypic ratio
This is the classic 9:3:3:1 dihybrid ratio — the same ratio Mendel observed in 1866, which led to his Law of Independent Assortment.
💡 5 Things Examiners Want to See in Your Answer
🎯 Escape Room Final Test
You've solved all 5 rooms. Now prove it.