作者LPH66 (かつて交わした約束)
看板puzzle
標題[中譯] Puzzleup 2017 (14) Dice Game
時間Fri Nov 10 07:44:50 2017
題目網址:
http://www.puzzleup.com/2017/
http://www.puzzleup.com/2017/puzzle/?14
答題時限: 11月9日7PM-比賽結束(約12月27日)
加分時限: 11月9日7PM-11月14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)
◆DICE GAME
You will play a game of chance with your friend by throwing a dice repeatedly.
* Whenever 4 even numbers appear in a row, you will win.
* Whenever 4 odd numbers appear in a row, your friend will win.
* Whenever 5 even numbers appear (may not be in a row), your friend will win.
* If first and third condition occur at the same time, first condititon has
the priority.
What is your probability of winning the game?
(Enter your answer as a reduced fraction. Example: 123/4567)
你和你的朋友玩一個遊戲, 重覆投擲一個骰子。
* 如果連續出現四個偶數, 你贏。
* 如果連續出現四個奇數, 你的朋友贏。
* 如果出現過五個偶數 (不一定連續), 你的朋友贏。
* 若第一和第三個條件同時滿足, 第一個條件優先。
試問你贏的機率為何?
(以最簡分數回答,如 123/4567。)
--
'You've sort of made up for it tonight,' said Harry. 'Getting the
sword. Finishing the Horcrux. Saving my life.'
'That makes me sound a lot cooler then I was,' Ron mumbled.
'Stuff like that always sounds cooler then it really was,' said
Harry. 'I've been trying to tell you that for years.'
-- Harry Potter and the Deathly Hollows, P.308
--
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1F:→ newacc: 怎麼覺得這題直接窮舉就好@@ 11/10 18:33
2F:→ ACGfans: 我也是用窮舉 20場就夠了 11/11 17:29
3F:推 cutekid: 11 場 is ok 11/11 20:54
4F:→ buffalobill: 我舉了16場……疑? 11/11 21:22
5F:推 adrianshum: 要窮舉20場吧。最壞的情況,要oooeoooeoooeoooeoooe 11/24 10:46
6F:→ adrianshum: 共20 場才能分勝負 11/24 10:46
7F:→ adrianshum: 我錯了orz 11/24 12:00
8F:→ adrianshum: 的確是11 場 11/24 12:02