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Home » You Won’t Believe What Happens When Kirby Unspools This Epic Yarn Story! - go-checkin.com

You Won’t Believe What Happens When Kirby Unspools This Epic Yarn Story! - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Finalmente, la respuesta es:

📌 Pregunta: Dos amigos, Clara y Daniel, llegan a una cafetería en tiempos aleatorios y uniformemente entre la 1:00 PM y las 2:00 PM. ¿Cuál es la probabilidad de que Clara llegue al menos 15 minutos antes que Daniel?

📌 Solución: Representamos los tiempos de llegada como números reales entre 0 y 60 minutos después de la 1:00 PM. Sea $ X $ el tiempo de llegada de Clara y $ Y $ el de Daniel. Tanto $ X $ como $ Y $ están distribuidos uniformemente en $[0, 60]$.

📌 Queremos la probabilidad de que $ X \leq Y - 15 $, es decir, Clara llega al menos 15 minutos antes que Daniel.

📌 Tablamos el espacio muestral como un cuadrado en el plano $ XY $, con $ 0 \leq X \leq 60 $, $ 0 \leq Y \leq 60 $. El área total es $ 60 \times 60 = 3600 $.

📌 La condición $ X \leq Y - 15 $ implica $ Y \geq X + 15 $. La región en el cuadrado que satisface esto está delimitada por la línea $ Y = X + 15 $, intersectada con $ Y \leq 60 $.

📌 Enjulga los límites:

📌 Cuando $ X = 0 $, $ Y \geq 15 $

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