Question

4. Your science group has 9 boys and 12 girls in it. You want them to work on a project together. (9 points)

a. How many different groups of 3 can you create?

b. How many different groups of 6 can you create if you want 3 boys and 3 girls in the group?

c. What is the probability that a four person social committee will consists of all girls?

Answer #1

In a group of 6 boys and 4 girls, four children are to be
selected. In how many different ways can they be selected such that
at least one boy should be there?

I have 100 cookies, I want them to be distributed among 5 boys
and 5 girls, boys get even and girls get odd. In how many ways can
this be done?

There are 9 children - 6 girls and 3 boys - a kindergarten
classroom having 3 rows of chairs, 3 chairs in each row. (a) How
many ways can the children be seated in the chairs? (b) How many
ways can the children be seated with all the boys seated together
in a row?

Q1.
Part a) A bag contains 12 marbles. There are 4 marbles that are
pink, 5 are purple, and 3 are blue. A marble is randomly pulled out
of the bag. What is the probability that the marble selected is
pink or blue? Round to 4 decimals.
Part b) A student randomly guesses on a 20 question true/false
test. What is the probability that the student guesses correctly on
15 of the questions? Round to 4 decimals.
Part c) A...

ind the number of ways of selecting 12 balls from 6 red bal
COMBINATION
Solve each of the following problems. (Show your work.)
Find the number of ways of selecting 12 balls from 6 red balls,
5 white balls and 5 blue balls if each selection consists of 4
balls of each color.
Among the seven nominees for two vacancies on the city council
are four men and six
women. In how many ways may these vacancies be filled...

A) A group of Mathematics faculty at the local college consists
of 9 women and 10 men. Four people are to be selected to go to a
conference.
a. How many different ways can a group of four people be selected
from this group of 19?
b. In how many ways can four women be chosen from the group of 9
women?
c. What is the probability that all women will be chosen to
attend the conference?
Enter...

You want to conduct your own study about the relationship
between happiness and annual hours worked. You recruit 12
participants for your study. There are 6 women and 6 men.
1. How many ways could you interview the participants? They will
each be interviewed once. [2 marks]
2. What is the probability that you interview the volunteers in
alternating gender order? [3 marks] You decide to create a
sub-group to investigate the annual hours worked. Your subgroup
will contain 8...

1. From a group of 6 Canadians, 9 Australians and 5
Italians, exactly 3 Canadians, 4 Australians and 2 Italians are to
be selected to form a committee. How many different working
committees can be formed if one specific Australian (named
Charlotte) and one specific Italian (named Marco) refuse to work
together (call this event A)?
5. Consider two manufacturing machines, A and B. It is
known that machine A has a defect rate 3 times larger than machine
B....

If the probability of A is 0.45 and the probability of the
intersection of A and B is 0.15, then the probability that B will
occur given that A has occurred is:
Group of answer choices
3.00
1.00
1/3
1/9
0.675
Members of a special marketing project team have decided to
break the work up into smaller portions and divide it among
sub-groups. There are 9 team members. How many different sub-groups
are possible if each sub-group consists of 4...

1. If you want to study the effect of hormonal changes in
adolescent boys, your population would be
Group of answer choices
All adolescents
All the people in the world
All males
All adolescent males
2. Which of the following is most likely to be measured
categorically?
Group of answer choices
Weight gain in first year college students
Deterioration in driving performance under the influence of
alcohol
Level of authoritarianism in a sample of public accountants
Species of dog appearing...

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