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Die from Flu Each Year - Parker Core Knowledge

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 But this is messy. Alternatively, accept symmetry: since the three dice are symmetric and the sum mod 3 is uniformly distributed under uniform independent choices? Not quite, because residue counts are not equal.

📌 But in this case, $16$ and $17$ are close, so near-uniform.

📌 But this is not elegant. Recompute numerator:

📌 However, to align with Olympiad style, sometimes simplified fractions are preferred, but this is already in simplest form.

📌 But lets correct the earlier mistake: the class sizes are not symmetric, so we cannot use binomial symmetry. But our enumeration is exact.

📌 But simplify by dividing numerator and denominator by... no common factors, so:

📌 But this is not standard. Lets instead recompute with correct counting:

📌 Alternatively, use generating functions.

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