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Home » The simplified form is $ \boxed\dfrac910 $. - Ready Digital AB

The simplified form is $ \boxed\dfrac910 $. - Ready Digital AB

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Solución: Este es un problema clásico de probabilidad binomial. Sean 6 lanzamientos de moneda un ensayo de Bernoulli con probabilidad de éxito (cara) $ p = \frac{1}{2} $. Queremos la probabilidad de obtener exactamente $ k = 4 $ éxitos.

📌 La fórmula de probabilidad binomial es:

📌 Aquí, $ n = 6 $, $ k = 4 $, $ p = \frac{1}{2} $. Sustituyendo:

📌 P(X = 4) = \binom{6}{4} \left(\frac{1}{2}\right)^4 \left(\frac{1}{2}\right)^2 = \binom{6}{4} \left(\frac{1}{2}\right)^6

📌 Calculamos el coeficiente binomial:

📌 \binom{6}{4} = \frac{6!}{4!2!} = \frac{720}{24 \cdot 2} = 15

📌 \left(\frac{1}{2}\right)^6 = \frac{1}{64}

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