Puzzleup 2015 (11) Winning Number - 拼圖

題目網址: http://www.puzzleup.com/2015/
http://www.puzzleup.com/2015/puzzle/?11
答題時限: 10月９日７ＰＭ－比賽結束（約12月16日）
加分時限: 10月９日７ＰＭ－10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）　　

◆WINNING NUMBER

Five numbers will be randomly picked with replacement between 1 and 100
(1,2,...,99,100), and the largest of these five numbers will be named as the
winning number. This process will be repeated many times and the average of
all the winning numbers will be calculated.

What is the integer nearest to this average?

從 1 到 100 的整數中隨機取後放回地取出五個數字，

並令其中的最大值為獲勝數。

重覆此操作許多次並計算所有獲勝數的平均值。

試問最接近這平均值的整數為何？

--
'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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