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natta225 [31]
3 years ago
7

In one generation, the frequency of the A allele is 70 percent and the frequency of the a allele is 30 percent. What are the cha

nces of an individual in the next generation having the genotype aa if the population is in genetic equilibrium?
49%
42%
30%
9%
Biology
1 answer:
Fynjy0 [20]3 years ago
6 0
The answer is 9%.

To calculate this we will use some <span>formulas of the Hardy-Weinberg principle:
</span><span>p² + 2pq + q² = 1 and <span>p + q = 1
where:
</span></span>

<span>p - the frequency of the A allele.
q - the frequency of the a allele.</span>

p² - the frequency of dominant homozygote (with AA genotype)

2pq - the frequency of heterozygote (with Aa genotype)

<span>q² - the frequency of recessive homozygote (with aa genotype)</span>

<span>We know:</span>

p = 70% = 70/100 = 0.7

q = 30% = 30/100 = 0.3

We need to calculate the frequency of the genotype aa:

q² = ?

Since we know the frequency of allele q, it is easy to calculate the frequency of the genotype aa:

q² = 0.3² = 0.09 = 0.09 · 100% = 9%

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