Chapter 7.4
1.
Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a
handful at random. She has seen a bag containing
four
red marbles,
two
green
ones,
five
white ones, and
three
purple ones. She grabs
eight
of them. Find the
probability of the following event, expressing it as a fraction in lowest terms. HINT
[See Example 1.]

2.
Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a
handful at random. She has seen a bag containing
three
red marbles,
five
green
ones,
three
white ones, and
two
purple ones. She grabs
seven
of them. Find the
probability of the following event, expressing it as a fraction in lowest terms. HINT
[See Example 1.]
She has at least one green one.
3.
Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a
handful at random. She has seen a bag containing
four
red marbles,
four
green
ones,
three
white ones, and
two
purple ones. She grabs
five
of them. Find the
probability of the following event, expressing it as a fraction in lowest terms. HINT
[See Example 1.]

4.
Calculate the probability of being dealt the following poker hand. (Recall that a poker
player is dealt 5 cards at random from a standard deck of 52.) Express your answer
as a decimal rounded to four decimal places. HINT [See Example 3.]

5.
Your company is considering offering
300
employees the opportunity to transfer to its
new headquarters in Ottawa and, as personnel manager, you decide that it would be
fairest if the transfer offers are decided by means of a lottery. Assuming that your
company currently employs
200
managers,
300
factory workers,
and
800
miscellaneous staff, find the following probabilities, leaving the answers as
formulas.
a.
All the managers will be offered the opportunity.
i.
C
(
x, y
)
C
(
x, y
)
b.
You will be offered the opportunity.