Dihybrid Cross Ratio
Phenotype ratio from a dihybrid cross.
Formula
Variables
How it works
A dihybrid cross tracks inheritance of two different genes at the same time, usually when each gene has a dominant and recessive allele and the genes assort independently. If both parents are heterozygous for both traits, each can make four types of gametes in equal proportions, and combining those gametes gives offspring phenotypes in the ratio 9 dominant-dominant : 3 dominant-recessive : 3 recessive-dominant : 1 recessive-recessive. This ratio comes from the product rule for independent probabilities, so the two single-trait 3:1 patterns combine into 9:3:3:1.
When to use it
Use this when solving genetics problems that involve two traits at once, such as seed shape and seed color, and the genes are assumed to assort independently. It is especially useful for predicting phenotypes from a cross like AaBb × AaBb.
Worked example, step by step
A plant is heterozygous for flower color and plant height: PpTt × PpTt. Each parent produces four gametes with equal probability: PT, Pt, pT, pt. For 16 total offspring combinations, the phenotype ratio is 9 purple tall : 3 purple short : 3 white tall : 1 white short. If 160 offspring are produced, divide 160 by 16 to get 10 groups. Multiply each part of the ratio by 10: 9×10 = 90, 3×10 = 30, 3×10 = 30, 1×10 = 10. Final predicted numbers: 90 purple tall, 30 purple short, 30 white tall, and 10 white short.
Common mistakes to avoid
- Using 9:3:3:1 when the genes are linked or do not assort independently
- Confusing genotype ratios with phenotype ratios
- Forgetting that the 1 part refers to the double recessive phenotype, not just one recessive trait
Did You Know?
Mendel's famous 9:3:3:1 dihybrid ratio revealed that different traits are inherited independently.
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