Puzzleup 2013 (13) Balls and Boxes - 西洋棋

Table of Contents


題目網址: http://www.puzzleup.com/2013/
http://www.puzzleup.com/2013/puzzle/?254
答題時限: 10月24日7PM-比賽結束(約12月11日)
加分時限: 10月24日7PM-10月28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)  

◆Two Pawns

Five pieces are randomly selected from a standard chess set. If it is known
that at least one of these pieces is a pawn, what is the probability that at
least two of these five pieces are white pawns?

Note:In a standard chess set there are 8 pawns, 2 rooks, 2 bishops, 2
knights, 1 queen, and 1 king for each color (white and black) making a total
of 32 pieces.

After simplification, enter your answer as a/b.

在一副標準的西洋棋子中隨機選出五枚。
若已知其中至少有一枚兵,問五枚棋子中至少有兩枚白兵的機率為何?

註:一副標準的西洋棋子有黑白兩色各八兵、二城、二主教、二騎、一后、一王,
共 32 枚。

答案化簡後以 a/b 的型式輸入。

--
又是高中數學 orz

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LPH [acronym]
= Let Program Heal us
-- New Uncyclopedian Dictionary, Minmei Publishing Co.

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