A history class is comprised of 7 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 2 female students and 3 male students will be selected? Round your answer to 3 decimal places.
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+23246 The number of ways that 2 female students can be chosen from 7 female students is: 7C2
The number of ways that 3 male students can be chosen from 5 males students is: 5C3
The number of ways that 2 female students can be chosen from 7 females students and 3 male students
can be chosen from 5 male students is: 7C2 x 5C3
The number of ways that 5 students can be chosen from 12 students is: 12C5
The probability will be: 7C2 x 5C3 / 12C5
