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There are 300 students in a middle school. Every 19 in 50 students qualifies for honor roll. However, the school can give honor roll to only 75 students. There will be a lottery to choose the 75 students. What is the probability that you will be in and lose the lottery? (Don't include the percent sign)

 Jul 6, 2020
 #1
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300 students   with   19 out of 50 qualifying means    114 qualify

only 75 are picked via the lottery

which means 39 qualifiers do NOT get picked  

39/114 = 13/38 =  0.3421052631578947                         (I think)

 

Maybe this:  (as I am not sure what the question is asking)

 

probability that you are in is  114/300  

probability that you LOSE the lottery   39 / 114

multiplied together =   39/300 = 13/100

 Jul 6, 2020
edited by ElectricPavlov  Jul 6, 2020

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