SOLUTION: 11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?

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Question 1170786: 11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
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11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

The total number of all possible teams is the number of combinations

     =  = 1365.


The teams where Hanif participates, are those where 10 other students 
of remaining 15-1 = 14 students participate.


The number of such teams is   =  = 1001.


The probability that Hanif will be selected is  P =  = 0.7333  (rounded).    ANSWER

Solved.


Another reasoning is possible, also.

The probability that Hanif will be among  11  lucky guys from the total  15  guys is  .

Notice that this ratio's value is precisely the same as    above.



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