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Home » Pregunta: Una caja contiene 4 canicas negras y 6 canicas blancas. Si se extraen tres canicas al azar sin reemplazo, ¿cuál es la probabilidad de que al menos una sea negra? - AMAZONAWS

Pregunta: Una caja contiene 4 canicas negras y 6 canicas blancas. Si se extraen tres canicas al azar sin reemplazo, ¿cuál es la probabilidad de que al menos una sea negra? - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Pregunta: Una caja contiene 4 canicas negras y 6 canicas blancas. Si se extraen tres canicas al azar sin reemplazo, ¿cuál es la probabilidad de que al menos una sea negra?

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📌 Solution: The total number of ways to choose 4 modules from 12 is $\binom{12}{4}$. The number of favorable outcomes (2 non-compliant and 2 compliant) is $\binom{3}{2} \cdot \binom{9}{2}$. Thus, the probability is $\frac{\binom{3}{2} \cdot \binom{9}{2}}{\binom{12}{4}} = \frac{3 \cdot 36}{495} = \frac{108}{495} = \frac{12}{55}$. \boxed{\dfrac{12}{55}}
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