SOLUTION: A history class is comprised of 8 female and 5 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability th
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Question 1160471: A history class is comprised of 8 female and 5 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places. Answer by ikleyn(52754) (Show Source):
The answer is the ratio of two numbers.
The denominator is the number of all subsets of 8+5 = 13 persons, consisting of 3+2 = 5 persons;
so; by the definition, it is the number of all combinations of 13 persons taken 5 at a time
= = 1287.
The numerator is the number of all subsets, consisting of 3 females and 2 males.
We can select 3 females of 8 female students by = = 8*7 = 56 ways;
We can select 2 males of 5 male students by = = 5*2 = 10 ways.
Finally, the probability under the question is this number
P = = 0.43512 = 43.512%. ANSWER
