Answer :

Hardy-Weinberg principle stated that in a given population the frequency of occurrence of alleles of a gene is supposed to remain fixed and even remain the same through generations. He represented it using algebraic equation (p+q)^{2} = p^{2} + 2pq + q^{2} = 1, where p and q are individual frequencies of two different types of alleles.

So the expected frequency can be calculated using this equation.

For MN-blood group system:

Let frequencies of M be p, and from question p = 0.7

Let frequencies of N be q, and from question p = 0.3

Substituting these values in the above equation, we get

(p + q)^{2} = p^{2} + 2pq + q^{2} = 1

(p + q)^{2} = (0.7)^{2} + 2(0.7)(0.3) + (0.3)^{2} = 1

(p + q)^{2} = 0.49+0.42+0.09 = 1

So from the above equation we can see that frequency of MN-blood group organism is 2pq = 0.42, or 42%.

So, the expected frequency of MN-blood group bearing organisms is likely to be 42%.

Hence the correct answer is option (a).

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