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oxedrac\pi h^23(3R - h) - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Thus, the total number of arrangements is \(\boxed{241920}\).

📌 Question:** Two fair six-sided dice are rolled. What is the probability that the product of the two numbers is a prime number?

📌 To find this probability, we first determine all outcomes where the product is a prime number, then divide by the total number of outcomes.

📌 Total possible outcomes:

📌 Each die has 6 faces, so total outcomes:

📌 \times 6 = 36

📌 Identify outcomes where product is prime:

📌 A prime number has exactly two distinct positive divisors. The product of two dice rolls (both ≥1) is prime only if one number is 1 and the other is prime (since 1 × prime = prime).

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