An urn contains 8 red balls and 3 green balls. If Tim chooses 6 balls at random from the urn, what is the probability that he will select 4 red balls and 2 green balls? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
I posted an explanation of how the question should be answered since I keep getting incorrect answers Then I posted the actual question that I need help answering
8:03
AA
www-awn.aleks.com
O PROBABILITY
Shasia v
Probabilities of draws without.
QUESTION
A history class is comprised of 4 female and 10 male students. If
instructor of the class randomly chooses 12 students from the cla
an oral exam, what is the probability that 3 female students and
students will be selected? Round your answer to 3 decimal place
(If necessary, consult a list of formulas.)
O EXPLANATION
We first count the number of different sets of 12 students that ca
selected from a class of 4+ 10=14 students. This is the number of
combinations of 14 items taken 12 at a time, which is equal to the
following.
14!
14C12-
= 91
12!2!
Other notations
The 91 different sets of 12 students can be considered as a sampl
Notice that each of the 91 sets of students in the sample space is
likely to be selected.
We next count the number of sets of students in the sample spa
have 3 female students and 9 male students. There are c, ways
the set of 3 female students from a class containing 4 female stu
and there are „C, ways to select the set of 9 male students from
containing 10 male students. Using the multiplication principle, we find the
of ways to select 3 female and 9 male students.
4!
„Cy'10C9= 311! 9!1!
10!
= 4-10-40
Therefore, we get the following.
P(instructor selects 3 female and 9 male students)
40
=0.44
91
ANSWER
0.44
More Practice
r Privacy | Accessibility
Transcribed Image Text:8:03 AA www-awn.aleks.com O PROBABILITY Shasia v Probabilities of draws without. QUESTION A history class is comprised of 4 female and 10 male students. If instructor of the class randomly chooses 12 students from the cla an oral exam, what is the probability that 3 female students and students will be selected? Round your answer to 3 decimal place (If necessary, consult a list of formulas.) O EXPLANATION We first count the number of different sets of 12 students that ca selected from a class of 4+ 10=14 students. This is the number of combinations of 14 items taken 12 at a time, which is equal to the following. 14! 14C12- = 91 12!2! Other notations The 91 different sets of 12 students can be considered as a sampl Notice that each of the 91 sets of students in the sample space is likely to be selected. We next count the number of sets of students in the sample spa have 3 female students and 9 male students. There are c, ways the set of 3 female students from a class containing 4 female stu and there are „C, ways to select the set of 9 male students from containing 10 male students. Using the multiplication principle, we find the of ways to select 3 female and 9 male students. 4! „Cy'10C9= 311! 9!1! 10! = 4-10-40 Therefore, we get the following. P(instructor selects 3 female and 9 male students) 40 =0.44 91 ANSWER 0.44 More Practice r Privacy | Accessibility
AA
A www-awn.aleks.com
Bb Week 7 – MA...
Bb Week 7 – MA...
A Timed Out
Home | iCam..
Bb Week 7 – MA...
X Gibbs - Learn
O PROBABILITY
Probabilities of draws without...
An urn contains 8 red balls and 3 green balls. If Tim chooses 6 balls at
random from the urn, what is the probability that he will select 4 red
balls and 2 green balls? Round your answer to 3 decimal places.
(If necessary, consult a list of formulas.)
Explanation
Check
Terms of Use I Privacy Accessibility
II
Transcribed Image Text:AA A www-awn.aleks.com Bb Week 7 – MA... Bb Week 7 – MA... A Timed Out Home | iCam.. Bb Week 7 – MA... X Gibbs - Learn O PROBABILITY Probabilities of draws without... An urn contains 8 red balls and 3 green balls. If Tim chooses 6 balls at random from the urn, what is the probability that he will select 4 red balls and 2 green balls? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.) Explanation Check Terms of Use I Privacy Accessibility II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL