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Home » \[ 0.4 + b = 2 \] - Groen Casting

\[ 0.4 + b = 2 \] - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 We want exactly two dice to show a prime. The number of ways to choose which two of the three dice show primes is $\binom{3}{2} = 3$.

📌 For each such choice:

📌 Probability for two primes: $\left(\frac{1}{2}\right)^2 = \frac{1}{4}$

📌 Probability for one non-prime: $\frac{1}{2}$

📌 So, probability for each configuration is $\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}$

📌 \times \frac{1}{8} = \frac{3}{8}

📌 Thus, the probability is $\boxed{\dfrac{3}{8}}$.

📌 Question: A science administrator reviews 5 distinct climate research proposals and must assign them to 3 indistinguishable review panels, with no panel left empty. How many ways can the proposals be distributed?

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