The pond 2 allele B frequency in the next generation will be 0.68.
An allele is described as a variation of the same sequence of nucleotides at the same place on a long DNA molecule, as described in leading textbooks on genetics and evolution.
The B allele frequency in the next generation following the migration for pond 2 can be calculated from the following equation:
PB₂' = (1 - 2m) PB₂ + 2mPB₁
where;
PB₂' is the probability of B in the next generation in pond B,
m is the percent of pond 1 parents in pond 2 following the migration = 0.1
PB₁ is the frequency of B in pond 1 prior to the migration event
PB₂ is the frequency of B in pond 2 prior to the migration event
PB₂' = (1 - 2 * 0.1) * 2 * 0.1 * 0.2
PB₂' = 0.68
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