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gwd 3-6 麻烦大家帮我看看我的试子为什么不对

Q6:

A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n?

A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n?

A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n?

(1) The probability that the two bulbs to be drawn will be defective is 1/15.

(2) The probability that one of the bulbs to be drawn will be defective and the other will not be defective is 7/15.

这道题大家讨论过,讨论帖我也看过了
  
由(2)得

Cn,1*C10-n,1/C10,2=7/15=>n=3 or 7 已知,n=3 <5所以n=3

 

但是没有人用我这种方法算

n/10*10-n/9=7/15 =>n*(10-n)=42 ??? 这种方法得不出n=3,有人能告诉我错在哪里了吗?万分感谢!!!

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我刚做到这道题的时候,也排了你这个式子,验算的时候发现,这样算概率的话,有一个隐含的假定是挑选两种bulbs的顺序的一定的,即先挑defective,再挑none-defective,所以漏算了另外一个顺序,即先挑none-defective 再挑defective,后一种选法发生的概率是[(10-n)/10]*[n/9],把两个概率相加,才是7/15

不知道这样解释表达得清楚不清楚

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太感谢了!!!哎,自己的思路怎么就这么不缜密呢。佩服!!!

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QUOTE:
以下是引用XIAOSHAONIAN在2007-8-2 18:14:00的发言:

我刚做到这道题的时候,也排了你这个式子,验算的时候发现,这样算概率的话,有一个隐含的假定是挑选两种bulbs的顺序的一定的,即先挑defective,再挑none-defective,所以漏算了另外一个顺序,即先挑none-defective 再挑defective,后一种选法发生的概率是[(10-n)/10]*[n/9],把两个概率相加,才是7/15

不知道这样解释表达得清楚不清楚

totall agree!

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