An Economics Problem

 

 

 

 

 

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- ♀ (47 bytes) () 12/06/2012 postreply 13:56:01

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

• 请给出严格计算，对这个坛子的人要求高一些 -commentate- ♂ (0 bytes) () 12/07/2012 postreply 09:49:38

• 谢谢，Ａ先打Ｂ球．Ｂ，Ｃ　先打Ａ球． -jinjing- ♀ (721 bytes) () 12/07/2012 postreply 14:29:43

• 这个题目很有趣， 跟三人决生死有差异。 -乱弹- ♂ (478 bytes) () 12/08/2012 postreply 14:34:49

• 谢谢,只要是摇号,人不可连发,从新定或一次定,概率一样.如可放空枪. -jinjing- ♀ (24 bytes) () 12/08/2012 postreply 16:09:10