What happens if a crossover occurs between the two genes? Let's follow the same chromosome through this scenario.
Suppose that during prophase I, there is a crossover event involving one chromatid from each homologue.
After segregation of the homologues in meiosis I, the chromosomes would look like this.
And here is how the gametes would look after the completion of meiosis. Compare the allele combinations here (linkage with crossover) to the allele combinations that occurred as a result of two unlinked genes assorting independently. Even though only one homologous pair of chromosomes is being considered in this instance, the combination of alleles is exactly the same as if the genes assorted independently.

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