[中譯] Puzzleup 2017 (20) Unusual Clock

作者: LPH66 (-6.2598534e+18f)   2017-12-22 09:00:26
Edit: 本年度的回答時間到 12/28 晚上七點 (台灣時間) 為止。
題目網址: http://www.puzzleup.com/2017/
http://www.puzzleup.com/2017/puzzle/?20
答題時限: 12月21日7PM-比賽結束
加分時限: 12月21日7PM-12月26日6:59PM
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)  
◆UNUSUAL CLOCK
An unusual clock has a minute hand that rotates at regular speed but at the
end of every 15 minutes the minute hand rotates by 60 degrees randomly either
clockwise or counterclockwise.
After placing the minute hand on 12 and waiting for 3 hours (including
waiting for the last random movement of the hand), what is the probability of
finding the hand on 12 again?
(Enter your answer as a reduced fraction. Example: 123/4567)
一個不尋常的鐘,它的分針平常是照正常速度前進,
但在每十五分鐘的結束時刻分針會隨機的前進或後退 60 度。
將分針調整到 12 之後等待三小時 (包含最後那一次隨機移動),
試問此時這個分針回到 12 的機率為何?
(以最簡分數回答,如 123/4567。)
作者: buffalobill (水牛比爾)   2017-12-22 14:29:00
今年PuzzleUp程式題頗多,我看會有一堆第一名並列

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