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 = p2 + 2pq + q2 = 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 = p2 + 2pq + q2 = 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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