Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2006/iii/paper-45/1/e/solution

In the unrearranged likelihood there are four summands. Each is a product of four supplied probabilities and takes three multiplications. Summing the four results takes three additions. Thus
This count concerns direct evaluation without reusing repeated factors; zero-or-one phenotype values could of course allow extra special-case savings.

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