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avatar+1836 

More questions sorry guys :/ 

If three people are selected at random from a group of seven men and three women, what is the probability that at least one woman is selected? Express your answer as a common fraction.

 Apr 16, 2015

Best Answer 

 #1
avatar+129852 
+16

The probability that at least one woman is selected = 1 - P(no woman is selected)

So, we can form  C(10,3) possible committees  =  120 possible committees

And the number of ones that just include men = C(7,3)  = 35

So....the probability that no woman is selected = 35/120 = 7/24

And this means that the probability that at least one woman is selected = [1 - 7/24 ] = [24/24  - 7/24]  = 17/24

 

  

 Apr 16, 2015
 #1
avatar+129852 
+16
Best Answer

The probability that at least one woman is selected = 1 - P(no woman is selected)

So, we can form  C(10,3) possible committees  =  120 possible committees

And the number of ones that just include men = C(7,3)  = 35

So....the probability that no woman is selected = 35/120 = 7/24

And this means that the probability that at least one woman is selected = [1 - 7/24 ] = [24/24  - 7/24]  = 17/24

 

  

CPhill Apr 16, 2015
 #2
avatar+118673 
+11

Where did Mellie go.  She fell off the board!!  

She should not be drinking at her age - I shall tell her mother on her!  

Mellie, Mellie, where art thee fair Mellie ??

 Apr 16, 2015
 #3
avatar+1836 
+6

Haha thanks CPHill once again!!

 Apr 16, 2015

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