題目網址: www.puzzleup.com/2011/puzzle/?222
加分時限: 8/18 7PM - 8/23 7PM
答對可得基本分100分。答案可上傳5次,每改1次答案從基本分扣20分。
比賽期間內可隨時上傳答案,加分時限內答對第n天加(6-n)分
另依題目的難易有額外加分(如有80%的人這題答錯,答對者加80分)
◆Digital Watch
Each of the 26 letters of the English Alphabet are written on a card.
All 26 cards are put in a bag. Cards are drawed from the bag randomly
and put together to form codes. Each code must contain three vowels.
When third vowel is drawn, we get a legitimate code and stop drawing cards.
The opearation is repeated for a long time. What is the expected mean
codelength?(The letters A, E, I, O and U are considered as vowels for
this question)
Note: If needed, use dot as decimal separator, and decimals with up to
five places. For example: 12.34567
英文26個字母各寫在26張卡片上放入袋中,從袋中隨機抽取卡片成為密碼。
每個密碼須有3個母音,抽到第3個母音表此碼已合理,停止抽卡。
這樣操作了很長一段時間,問密碼均長的期望值為何?(母音為 A, E, I, O, U。)
注意: 如需要可用小數作答,最高可答至小數點後5位。例:12.34567
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驚覺今年programup都開始一個月了,版上都沒消息
是太簡單了所以大家火花掉嗎@ _@a
不過滿適合文組的復習一下概念
至少我算得挺開心的 哈
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沒事多喝水
多喝水沒事
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