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AP Biology Notes

5.3.5 Dihybrid crosses and independent assortment

AP Syllabus focus:

‘Dihybrid crosses analyze inheritance of two genes simultaneously, illustrating independent assortment and expected phenotypic ratios.’

Dihybrid crosses extend single-gene genetics to track two traits at once. They help you connect allele segregation during meiosis to predictable offspring patterns when genes assort independently.

Core idea: tracking two genes at once

A dihybrid cross follows the inheritance of two different genes (often written as A/aA/a and B/bB/b) through gametes and offspring. It is most informative when the parental generation produces heterozygous individuals for both genes (e.g., AaBbAaBb), because multiple allele combinations are possible.

Key term

Dihybrid cross: A genetic cross that examines inheritance patterns of two genes simultaneously by tracking the combinations of alleles passed in gametes and expressed in offspring.

A dihybrid approach is used to predict expected phenotypic ratios under a specific assumption about chromosome behavior: independent assortment.

Independent assortment and what it implies

Independent assortment explains why allele combinations for two genes can appear in many different pairings in gametes.

What “independent” means in practice

For two genes that assort independently:

  • The allele a gamete receives for gene 1 (e.g., AA or aa) does not affect which allele it receives for gene 2 (e.g., BB or bb).

  • All allele pairings are possible in gametes, creating multiple genotype and phenotype outcomes in offspring.

  • The predicted offspring ratios are probabilistic expectations across many offspring, not guarantees for a small family size.

Connection to meiosis (mechanism focus)

Independent assortment arises from chromosome behavior during meiosis:

  • In metaphase I, homologous chromosome pairs line up with random orientation relative to the poles.

Pasted image

This diagram illustrates random orientation of homologous chromosome pairs during metaphase I and tracks how different alignments lead to different combinations in the resulting gametes. It concretely links the phrase “random orientation” to the idea that each homologous pair’s positioning is independent of the others. This is the mechanistic basis of independent assortment used when predicting allele combinations in dihybrid crosses. Source

  • Each homologous pair’s orientation is independent of other homologous pairs.

  • As homologs separate in anaphase I, maternal and paternal homologs are distributed into different daughter cells in many possible combinations.

  • This produces gametes with different combinations of alleles for genes located on different chromosome pairs (or behaving as if they are).

Setting up dihybrid predictions (without doing a full worked example)

To analyse a dihybrid cross efficiently, you translate genotypes into gamete allele combinations and then combine gametes to predict offspring outcomes.

Gamete types from a double heterozygote

A common starting genotype is AaBbAaBb. Under independent assortment:

  • Each gamete carries one allele per gene.

  • Possible gamete allele combinations include ABAB, AbAb, aBaB, and abab.

  • These gamete types are expected in equal proportions when no other biological factors bias gamete formation or success.

Using a Punnett framework for two genes

When predicting offspring:

  • Determine possible gametes from each parent (based on genotype).

  • Combine gametes to enumerate possible zygote genotypes.

  • Translate genotypes into phenotypes using dominance rules for each gene.

  • Tally phenotype categories to obtain the expected phenotypic ratio.

Expected phenotypic ratios under independent assortment

When both parents are heterozygous for both genes (AaBb×AaBbAaBb \times AaBb) and complete dominance applies at both loci, the classic expected phenotypic ratio is 9:3:3:1, reflecting four phenotype categories:

Pasted image

This figure summarizes a classic dihybrid cross and visually connects parental genotypes to F1_1 heterozygotes and the F2_2 outcomes that produce the 9:3:3:1 phenotypic ratio. It makes clear how combining four equally likely gamete types from each heterozygous parent yields 16 equally likely genotype combinations. The phenotype tallies across those 16 boxes collapse into the hallmark 9:3:3:1 pattern under independent assortment and complete dominance. Source

  • Dominant for both traits

  • Dominant for gene 1, recessive for gene 2

  • Recessive for gene 1, dominant for gene 2

  • Recessive for both traits

This ratio is a hallmark of two genes assorting independently, because it reflects the combination of two separate single-gene outcome patterns into a joint two-gene pattern.

How to interpret deviations (staying within scope)

In AP Biology, dihybrid crosses are also about evaluating whether observed data are consistent with independent assortment:

  • Small sample sizes can show noticeable random variation from expected ratios.

  • Larger sample sizes tend to more closely match expected ratios if independent assortment holds.

  • Persistent, directional deviations suggest the genes may not be behaving independently under the assumptions used for the prediction.

FAQ

Because each gamete gets one allele from each gene, and the two genes can pair in all combinations under independent assortment.

If the genes assort independently and dominance rules are simple, you can treat outcomes as combinations of two single-gene patterns.

Phenotypes may split into three classes for that gene, increasing the total number of combined phenotype categories in the dihybrid outcome.

Random sampling effects are stronger with small offspring numbers, so chance can skew observed counts away from expected proportions.

It means grouping multiple genotypes that produce the same visible trait (due to dominance) into a single phenotypic category before counting ratios.

Practice Questions

State what independent assortment predicts about the relationship between allele inheritance for two different genes in a dihybrid cross. (2 marks)

  • States that inheritance of alleles for one gene does not affect which alleles are inherited for the other gene. (1)

  • Links to random distribution of homologous chromosomes/gametes containing all allele combinations. (1)

In a cross AaBb×AaBbAaBb \times AaBb with complete dominance at both genes, describe the expected phenotypic categories and explain why the classic dihybrid phenotypic ratio is predicted under independent assortment. (5 marks)

  • Identifies four phenotypic categories (both dominant; A dominant only; B dominant only; both recessive). (2)

  • States the expected ratio 9:3:3:19:3:3:1. (1)

  • Explains that alleles for different genes assort independently into gametes. (1)

  • Links independent assortment to random orientation of homologous pairs at metaphase I/separation in meiosis I. (1)

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