Question

The qualified applicant pool for three management trainee positions consists of six women and six men.

(a) How many different groups of applicants can be selected for the positions?

(b) How many different groups of trainees would consist entirely of women?

(c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of three are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)

Answer #1

The qualified applicant pool for four management trainee
positions consists of six women and five men.
(a) How many different groups of applicants can be selected for
the positions?
(b) How many different groups of trainees would consist entirely of
women?
(c) Probability extension: If the applicants are equally
qualified and the trainee positions are selected by drawing the
names at random so that all groups of four are equally likely, what
is the probability that the trainee class will...

The qualified applicant pool for three management trainee
positions consists of eight women and four men.
(a) How many different groups of applicants can be selected for
the positions?
(b) How many different groups of trainees would consist entirely
of women? (
c) Probability extension: If the applicants are equally
qualified and the trainee positions are selected by drawing the
names at random so that all groups of three are equally likely,
what is the probability that the trainee class...

one professor grades homework by randomly choosing 5 out of
11homework problems to grade.
a.) how many different groups of 5 problems can be chosen
fromthe 11 problems?
b.) probability extension: jerry did only 5 problems of one
assignment. what is the probability that the problems he
didcomprised the group that was selected to be graded?
c.) silvia did 8 problems. how many different groups of 5 did
she complete?
d.) what is the probability that one of the groups...

There are 15 qualified applicants for 3 trainee positions in a
fast-food management program. How many different groups of trainees
can be selected?
During the Computer Daze special promotion, a customer
purchasing a computer and printer is given a choice of three free
software packages. There are 8 different software packages from
which to select. How many different groups of software packages can
be selected?

A group consists of seven men and six women. Five people are
selected to attend a conference.
a. In how many ways can five people be selected from this group
of thirteen?
b. In how many ways can five women be selected from the six
women?
c. Find the probability that the selected group will consist of
all women.
(Type an integer or a simplified fraction.)

Six men and six women are to be divided into three different
groups, each consisting of two women and two men. In how many ways
can this be done? (Answer is 8100)
Explain please.

A graduate class in computer science consists of six students,
three men and three women. During the last two days of the
semester, presentations are made by the students, three
presentations on each day. The professor randomly selects the
students to make presentations. If, on the first of the two days, a
man is selected to give the first presentation, what is the
probability that two women and a man will give presentations on the
second day?

A pool of possible jurors consists of 14 men and 16 women.
How many different juries consisting of 5 men and 7 women are
possible?

A jury consists of six men and seven women. Five are selected at
random for an interview. a) Find the number of ways that all
selected people are men. b) Find the number of ways that three men
and two women are selected.

A committee of four is to be chosen from a group of six men and
seven women.
a) How many different committees are possible?
b) What is the probability that committee consists of two men
and two women?
c) What is the probability that committee consists of at least
two women?

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