A his.y class is comprised of 4 female and s male students. If the instructor of the class randomly chooses 7 students from the class for an oral exam, what is the probability that 3 female students and 4 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Probabilities of draws without replacement
A his.y class is comprised of 4 female and s male students. If the
instructor of the class randomly chooses 7 students from the class for an
oral exam, what is the probability that 3 female students and 4 male
students will be selected? Round your answer to 3 decimal places.
(If necessary, consult a list of formulas.)
Explanation
Check
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Transcribed Image Text:AA A www-awn.aleks.com Pf Sign Off Successful Bb Week 7 - MAT30045... Bb Week 7 - MAT30045... A ALEKS - Shasia Gibb... O PROBABILITY Shasia v Probabilities of draws without replacement A his.y class is comprised of 4 female and s male students. If the instructor of the class randomly chooses 7 students from the class for an oral exam, what is the probability that 3 female students and 4 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.) Explanation Check 2021 MCGraw-FIIIL EQucation. All Rights Reserved. Terms of Use | Privacy | Accessibility G 回 国 回 II
Expert Solution
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There are 4 females and 5 males, so total number of students are 4+5=9. Among these 9 students 7 are selected randomly. So the total number of possible outcomes will be equal to number of ways to select 7 students out of 9 students.

The number of ways to select r objects from n objects is computed by Crn=n!r! n-r!.

Substitute n=9 and r=7 in the above mentioned formula to find the total number of outcomes.

Total possible outcomes=C79=9!7! 9-7!=9·8·7!7!·2!=36

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