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Vondra is filling out summer job applications, so that she can earn money to buy a car. Of the 11 jobs she's applying for, 7 are construction jobs. If Vondra randomly picks 8 applications to submit today, what is the probability that exactly 6 of the chosen applications are for construction jobs

Guest Jun 1, 2017
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The total  number  of ways to select  8  things from  11   =  C(11,8)  = 165   (1)

 

So......she wants to choose  6 of the 7 construction jobs apps  and any 2 of the other  4 apps

 

So    C (7,6) * C(4, 2)   =  7 * 6   = 42      (2)

 

 

And the probability    =      (2)  / (1)     =   42 / 165  ≈   25.45%

 

 

 

cool cool cool

CPhill  Jun 1, 2017

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