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Mendels Law of Independent Assortment - The third law states that Alleles for different traits are distributed to sex cells (offspring) independently of one another.

Mendel noticed during all his work that the height (tall or short), of the plant and the shape (round or wrinkled) of the seeds and the colour (green or yellow), of the pods had no impact on one another.

In other words, being tall did not automatically mean that the plants had to have green pods, nor did green pods have to be filled only with wrinkled seeds, the different traits seem to be inherited independently.

It involves what is known as a dihybrid cross, meaning that the parents are hybrid for two different traits.

The genotypes of the parent pea plants will be: RrGg x RrGg where

R = dominant allele for round seeds r = recessive allele for wrinkled seeds

G = dominant allele for green pods g = recessive allele for yellow pods

Thus we are dealing with two different traits: (1) seed texture (round or wrinkled) and (2) pod colour (green or yellow). Also each parent is hybrid, for each trait (one dominant and one recessive allele for each trait).

The results from a dihybrid cross are always the same: 9/16 boxes (offspring) show dominant phenotype for both traits (round and yellow), 3/16 show dominant phenotype for first trait and recessive for second (round and green), 3/16 show recessive phenotype for first trait and dominant form for second (wrinkled and yellow), 1/16 show recessive form of both traits (wrinkled and green).

So, as can be seen from the results, a green pod can have round or wrinkled seeds, and the same is true of a yellow pod.

The different traits do not influence the inheritance of each other. They are inherited independently.

Interesting to note is that if we consider one trait at a time, we get the usual 3: 1 ratio of a single hybrid cross (like we did for the Law of Segregation).

For example, let us compare the colour trait in the offspring; 12 green and 4 yellow (3: 1 dominant recessive) and the same for the seed texture 12 round and 4 wrinkled (3: 1 ratio). The traits are inherited independently of each other.