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Question

Frequency of an autosomal recessive lethal gene is $$0.4$$. Frequency of carrier in a population of $$200$$ individuals is?


A
72
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B
96
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C
104
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D
36
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Solution

The correct option is A $$96$$
The frequency of the recessive allele is $$q = 0.4$$ (given)
Hence, $$p = 1-0, 4 = 0.6$$ (as p = 1- q)
According to Hardy- Weinberg principle,  $$p^2$$ + $$2pq$$ + $$q^2$$ =$$1$$
hence,       $$  p^2 = (0.6)^2 = 0.36$$
$$q^2 = (0.4)^2 = 0.16$$
$$2pq = 0.48$$
since, $$2pq$$ is the frequency of hetrozygous carrier,
= $$ 0.48 \times 200$$
= $$ 96$$ Individuals
So, the correct answer is$$ '96'$$.

Biology

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