A student-faculty government committee of 4 people is to be formed from 23 student volunteers and 7 faculty volunteers. Find the probability that the committee will consist of the following, assuming the selection is made at random: Part 1 out of 4 (a) All faculty members. Round your answer to five decimal places. The probability that the committee will consist of all faculty members is
Added by Tracy E.
Close
Step 1
This is given by the combination formula: 30 choose 4. Show more…
Show all steps
Your feedback will help us improve your experience
Victor Salazar and 79 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose you are going to form a committee of students and faculty. You have 7 total students and 20 total faculty to pick from. You want to have 10 total people on the committee. What is the probability that you select 3 students and 7 faculty? Enter your answer rounded to two decimal places.
Joanna Q.
7 freshmen, 10 sophomores, 8 juniors, and 9 seniors are eligible to be on a committee. If a committee of 14 students is chosen at random, what is the probability that it is made up of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors? Round your answer to 6 decimal places as needed.
Adrian O.
A committee of 4 persons is to be formed from 6 men and 4 women. What is the probability that the committee consists of equal number of men and women? (1) $\frac{4}{7}$ (2) $\frac{3}{7}$ (3) $\frac{1}{7}$ (4) $\frac{6}{7}$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD