A history class is comprisea of 6 female and 3 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the propability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places.

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Probabilities of draws without...
A history class is comprisea of 6 female and 3 male students. If the
instructor of the class randamly chooses 5 students from the class for an
oral exam, what is the propability that 3 female students and 2 male
students will be selected? Round your answer to 3 decimal places.
(If necessary, consult a list of formulas.)
Explanation
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Transcribed Image Text:AA A www-awn.aleks.com Pf Sign On Home | iCampus Bb Week 7 - MAT30045... A ALEKS - Shasia Gibb... O PROBABILITY Probabilities of draws without... A history class is comprisea of 6 female and 3 male students. If the instructor of the class randamly chooses 5 students from the class for an oral exam, what is the propability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.) Explanation Check Terms of Use| Privacy | Accessibility
Expert Solution
Step 1

Given Information:

No. of female students in a history class = 6

No. of male students in a history class = 3

No. of students chosen by the instructor for an oral exam = 5

No. of female students selected = 3

No, of male students selected = 2

To find the probability that 3 female and 2 male students will be selected:

 

Probability of an event is given by the formula:

PE=favourable outcomesTotal possible outcomes

Number of ways to select 3 female students from a total of 6 female students is done in C36 ways.

That is: C36=6!3!6-3!=6×5×4×3!3×2×1×3!=20

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