Transcript 4. Ding`s Diner advertised this daily lunch special: “Choose 1 item

ACT Review
Probability & Statistics
Questions
Kari R. Hamilton
If a marble is randomly
chosen from a bag that
contains exactly 10 yellow
marbles, 3 green marbles,
and 3 orange marbles, what
is the probability that the
marble will NOT be yellow?
1. If a marble is randomly chosen
from a bag that contains exactly 8
red marbles, 6 blue marbles, and 6
white marbles, what is the probability
that the marble will NOT be white?
A. 3/4
B. 3/5
C. 4/5
D. 3/10
E. 7/10
Kari has 3 sweaters, 8
shirts, and 5 pairs of
slacks. How many
distinct outfits, each
consisting of a sweater,
a shirt, and a pair of
slacks, can Kari select?
2. Ryan has 4 sweaters, 6 shirts, and
3 pairs of slacks. How many distinct
outfits, each consisting of a sweater,
a shirt, and a pair of slacks, can Ryan
select?
A. 13
B. 36
C. 42
D. 72
E. 216
3. At a sandwich shop they offer 3 kinds of
bread, 5 kinds of meat, and 3 kinds of
cheese. Each type of sandwich has a
combination of exactly 3 ingredients: 1
bread, 1 meat, and 1 cheese. How many
types of sandwiches are possible?
A. 11
B. 15
C. 30
D. 45
E. 120
4. Ding’s Diner advertised this daily lunch
special: “Choose 1 item from each column—
only $4.95!” Thus, each daily lunch special
consists of a salad, a soup, a sandwich, and
a drink.
Salads
Soups Sandwiches Drinks
cole slaw
lettuce
potato
onion
tomato
meat loaf
chicken
hamburger
ham
tenderloin
milk
cola
coffee
tea
How many different daily lunch specials are
possible?
A. 4
B. 14
C. 30
D. 120
E. 180
Pat earned 76, 71, 82, and 90
points on the 4 tests, each
worth 100 points, given so far
this term. How many points
must be earn on her fifth test,
also worth 100 points, to
average 80 points for the 5
tests given this term?
5. Mason earned 85, 95, 93, and 80
points on the 4 tests, each worth 100
points, given so far this term. How many
points must be earn on his fifth test, also
worth 100 points, to average 90 points
for the 5 tests given this term?
A. 87
B. 88
C. 90
D. 92
E. 97
A certain type of shirt costs $20
before sales tax is added.
When you buy 4 of the shirts,
you receive 1 additional shirt
free. What is the average cost
per shirt for the 5 shirts before
sales tax is added?
6. A certain type of notebook costs $2.50
before sales tax is added. When you
buy 9 of these notebooks you receive 1
additional notebook free. What is the
average cost per notebook for the 10
notebooks before sales tax is added?
$2.78
$2.50
$2.30
$2.25
$2.15
In a town of 700 people, the
400 males have an average
age of 65 and the 300 females
have an average age of 75.
To the nearest year, what is
the average age of the town’s
entire population?
7. In a town of 500 people, the 300
males have an average age of 45 and
the 200 females have an average age
of 15. To the nearest year, what is the
average age of the town’s entire
population?
A. 40
B. 41
C. 42
D. 43
E. 44
What is the probability that
a number selected at
random from the set
{3, 5, 10, 15, 20, 25, 30, 45}
will be divisible by both 3
and 5?
8. What is the probability that a number
selected at random from the set
{2, 3, 7, 12, 15, 22, 72, 108} will be
divisible by both 2 and 3?
A. 1/4
B. 3/8
C. 3/5
D. 5/8
E. 7/8