Ahistory class is comprised of 7 female and 10 male students. if the instructor of the class randomly chooses 13 students from the class for an oral exam, what is the probability that 6 female students and 7 male students will be selected? round your answer to 3 decimal places.

0.353

Step-by-step explanation:

We have been given that a history class is comprised of 7 female and 10 male students.        

We will use combinations to solve our problem.  

We can choose 6 female students out of 7 female students in ways.

We can choose 7 male students out of 10 male students in ways.  

So the number of ways that 6 female and 7 males can be chose is: 7*120 = 840.

Now let us find ways in which 13 students can be chosen from 17 students as:        

Now let us substitute our values in probability formula.

Therefore, the probability of selecting 6 female students and 7 male students is 0.353.