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Home » x^3 - 4x + 2 = 0 - Feedz API

x^3 - 4x + 2 = 0 - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Solución: Para encontrar la probabilidad de sacar el número 4 exactamente dos veces en cuatro lanzamientos de un dado justo de seis caras, utilizamos la fórmula de probabilidad binomial. La fórmula es:

📌 P(k \text{ éxitos en } n \text{ ensayos}) = \binom{n}{k} p^k (1-p)^{n-k}

📌 Aquí, \( n = 4 \), \( k = 2 \), \( p = \frac{1}{6} \), y \( 1 - p = \frac{5}{6} \). Sustituyendo estos valores:

📌 P(2 \text{ cuatros en } 4 \text{ lanzamientos}) = \binom{4}{2} \left(\frac{1}{6}\right)^2 \left(\frac{5}{6}\right)^2

📌 Primero, calculamos el coeficiente binomial:

📌 \binom{4}{2} = \frac{4!}{2!2!} = 6

📌 A continuación, calculamos las probabilidades:

📌 \left(\frac{1}{6}\right)^2 = \frac{1}{36}, \quad \left(\frac{5}{6}\right)^2 = \frac{25}{36}

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