Punnett Square Calculator
Instantly generate crosses, determine parent gametes, and calculate exact phenotypic ratios. Supports standard Mendelian monohybrid (Aa × Aa) and dihybrid (AaBb × aabb) crosses.
Combining alleles from intersecting rows and columns.
Genotypic Ratio: 1:2:1:2:4:2:1:2:1
Phenotypic Ratio: 9:3:3:1
- 9/16 Dominant A, Dominant B (56.25%)
- 3/16 Dominant A, Recessive b (18.75%)
- 3/16 Recessive a, Dominant B (18.75%)
- 1/16 Recessive a, Recessive b (6.25%)
How to Solve Mendelian Genetics Problems
A Punnett square is a visual, grid-based tool used by biologists to predict the probability of an offspring possessing a particular genotype. Developed by Reginald Punnett, this simple tabular method is the cornerstone of classical Mendelian genetics. Whether you are in high school biology or preparing for the MCAT, understanding how to construct and read these squares is absolutely essential.
Monohybrid vs. Dihybrid Crosses
Our free Punnett square calculator is programmed to handle the two most common types of Mendelian crosses:
- Monohybrid Cross (e.g., Aa × Aa): Tracks the inheritance of a single trait. The parents are typically heterozygous. This cross results in a 2×2 grid (4 possible offspring combinations) and classically yields a 3:1 phenotypic ratio and a 1:2:1 genotypic ratio.
- Dihybrid Cross (e.g., AaBb × AaBb): Tracks the inheritance of two independent traits simultaneously (following Mendel’s Law of Independent Assortment). This requires finding all possible gamete combinations using the FOIL method, resulting in a 4×4 grid (16 combinations).
Understanding Phenotypic Ratios
When solving genetics homework, professors often ask for the phenotypic ratio. Here is a quick reference table for standard Mendelian crosses involving complete dominance:
| Cross Type | Parent Genotypes | Standard Phenotypic Ratio |
|---|---|---|
| Monohybrid (Heterozygous) | Aa × Aa | 3:1 (75% Dominant, 25% Recessive) |
| Monohybrid (Test Cross) | Aa × aa | 1:1 (50% Dominant, 50% Recessive) |
| Dihybrid (Heterozygous) | AaBb × AaBb | 9:3:3:1 |
| Dihybrid (Test Cross) | AaBb × aabb | 1:1:1:1 |
The FOIL Method for Dihybrid Gametes
The biggest mistake students make with dihybrid crosses is incorrectly determining the parent gametes. You must use the FOIL method (First, Outer, Inner, Last). For a parent with the genotype AaBb:
- First: A and B = AB
- Outer: A and b = Ab
- Inner: a and B = aB
- Last: a and b = ab
Our dihybrid cross solver online automates this step entirely, showing you the exact gametes before constructing the grid.
Frequently Asked Questions
How do you solve a dihybrid cross?
What is the phenotypic ratio of a heterozygous dihybrid cross?
AaBb × AaBb) always results in a 9:3:3:1 phenotypic ratio under standard Mendelian inheritance with independent assortment and complete dominance.