An Economics Problem

來源: commentate 於 2012-12-06 09:39:51 [] [舊帖] [給我悄悄話] 閱讀數 : (853 bytes)

 

 

 

 

 

Three contestants, A, B, and C, each have a balloon and a pistol.

From fixed positions, they fire at each other’s balloons. When a balloon is hit, its owner is out. When only one balloon remains, its owner gets a $1000 prize. At the outset, the players decide by lot the order in which they will fire, and each player can choose any remaining balloon as his target. Everyone knows that A is the best shot and always hits the target, that B hits the target with probability .9, and that C hits the target with probability .8. Which contestant has the highest probability of winning the $1000?

所有跟帖： 

• C will win, if every guy is smart enough and no cheating. The P( -jinjing- ♀ 給 jinjing 發送悄悄話 (47 bytes) () 12/06/2012 postreply 13:56:01

• 回複：C will win, if every guy is smart , The P(C win)>60% -jinjing- ♀ 給 jinjing 發送悄悄話 (0 bytes) () 12/06/2012 postreply 13:58:40

• 請給出嚴格計算，對這個壇子的人要求高一些 -commentate- ♂ 給 commentate 發送悄悄話 (0 bytes) () 12/07/2012 postreply 09:49:38

• 謝謝，Ａ先打Ｂ球．Ｂ，Ｃ　先打Ａ球． -jinjing- ♀ 給 jinjing 發送悄悄話 (721 bytes) () 12/07/2012 postreply 14:29:43

• 這個題目很有趣， 跟三人決生死有差異。 -亂彈- ♂ 給 亂彈 發送悄悄話 亂彈 的博客首頁 (478 bytes) () 12/08/2012 postreply 14:34:49

• 謝謝,隻要是搖號,人不可連發,從新定或一次定,概率一樣.如可放空槍. -jinjing- ♀ 給 jinjing 發送悄悄話 (24 bytes) () 12/08/2012 postreply 16:09:10

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