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At a certain college, 47% of the students are female, and 21% of the students major in finance. Furthermore, 12% of the students both are female and major in finance.

(a) What is the probability that a randomly selected finance major is female?


(b) What is the probability that a randomly selected female student majors in finance?

 Feb 27, 2020
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   For convenience  let there be 100 total students

 

Look at the following two-way table  :

 

               Finance      Non- Finance      Total

Female        12                  35                 47                               

 

Male             9                   44                 53

                 __________________________

                   21                   79                100

 

(a)  From the table, the probability that a finance major is  female =  12 / [ 12 + 9 ]  =  12/ 21  = 4/7

 

(b)  The probability  that a randomly selected female majors in finance = 12 / 47 

 

 

cool cool cool

 Feb 27, 2020

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