[中译] Puzzleup 2017 (20) Unusual Clock

楼主: LPH66 (-6.2598534e+18f)   2017-12-22 09:00:26
Edit: 本年度的回答时间到 12/28 晚上七点 (台湾时间) 为止。
题目网址: http://www.puzzleup.com/2017/
http://www.puzzleup.com/2017/puzzle/?20
答题时限: 12月21日7PM-比赛结束
加分时限: 12月21日7PM-12月26日6:59PM
答对可得基本分100分。答案可上传5次,每改1次答案从基本分扣20分。 
比赛期间内可随时上传答案,加分时限内答对第n天加(6-n)分       
另依题目的难易有额外加分(如有80%的人这题答错,答对者加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)
一个不寻常的钟,它的分针平常是照正常速度前进,
但在每十五分钟的结束时刻分针会随机的前进或后退 60 度。
将分针调整到 12 之后等待三小时 (包含最后那一次随机移动),
试问此时这个分针回到 12 的机率为何?
(以最简分数回答,如 123/4567。)
作者: buffalobill (水牛比尔)   2017-12-22 14:29:00
今年PuzzleUp程式题颇多,我看会有一堆第一名并列

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