Hardy Weinberg Principle

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There are two equations

p + q = 1

and

p^2 + 2pq + q^2 = 1

. They are entirely same equations if you aren't math blind but we aren't studying maths here.

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So what do these two equation represent and how are they different?

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What does incidence of autosomal recessive disease translate into in terms of the equation?

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How do you approach a question that mentions Hardy Weinberg population?

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What if the question asks probability of a couple having an affected child?

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What changes in X-linked recessive disease?