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Home » old farmer's almanac winter 2025 forecast - AssociationVoting

old farmer's almanac winter 2025 forecast - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 机器人单程速度为 **1 米/秒**。

📌 ### 高等055：概率题

📌 在一组包含10个设备的样品中，有3个故障品。工作人员随机抽取4个设备进行测试，问这些4个中恰好包含1个故障品的概率是多少？（整数组合表示法辅助）

📌 总设备数量：10个，故障品3个，非故障7个。

📌 \binom{3}{1} \times \binom{7}{3}

📌 \binom{10}{4}

📌 \binom{3}{1} = 3,\quad \binom{7}{3} = \frac{7 \cdot 6 \cdot 5}{3 \cdot 2 \cdot 1} = 35,\quad \binom{10}{4} = \frac{10 \cdot 9 \cdot 8 \cdot 7}{4 \cdot 3 \cdot 2 \cdot 1} = 210

📌 \frac{3 \times 35}{210} = \frac{105}{210} = \frac{1}{2}

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