ACT Probability Questions
Algebra II/Trigonometry
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?
3
a.
4
3
b.
5
4
c.
5
7
d.
10
3
e.
10
2. Kareem 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 Kareem select?
a. 72
b. 36
c. 42
d. 13
e. 216
3. At a school picnic, 1 junior and 1 senior will
be selected to lead the activities. If there are
125 juniors and 100 seniors at the picnic,
how many different 2-person combinations of
1 junior and 1 senior are possible?
a. 25
b. 100
c. 125
d. 225
e. 12,500
Name:______________________________
4. 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
5. I have 10 books, 3 of which are good. If I
randomly select a book at random, what’s the
probability that it is not good?
a. 0.3
b. 0.7
c. 1.3
7
d.
13
1
e.
7
6. The probability that it will rain tomorrow is
1/2. The probability that I will oversleep
tomorrow (which has nothing to do with rain)
is 1/4. What is the probability that I both
oversleep and it rains?
1
a.
8
1
b.
2
3
c.
4
3
d.
8
1
e.
6
7. My sister is trying to arrange her 3 favorite
dolls in a line. How many different ways are
there to make that line?
a. 3
b. 6
c. 9
d. 12
e. 1
8. I have 5 blue pants and 6 pants with a zipper.
If I have 9 pants that are either blue or have a
zipper or both, how many pants are both blue
and with a zipper?
a. 1
b. 11
c. 4
d. 5
e. 2
9. There are 5 blue birds, 6 green ones and 3
black ones. If I randomly catch 2 birds, what
is the probability the first bird is black and
the second is green?
123
a.
182
9
b.
98
9
c.
14
9
d.
91
2
e.
14
10. There are 6 people, out of which you have to
choose 3 to be part of a committee, first a
chairman, then a secretary, then a treasurer
(so order matters). How many different
committees can there be?
a. 18
b. 180
c. 120
d. 240
e. 6
11. 20 of my friends play basketball or soccer or
both. 8 of them play basketball (and maybe
both soccer too), while 5 play both. How
many play soccer?
a. 3
b. 5
c. 14
d. 17
e. 18
12. Out of 40 people which are either tall or fat
or both, 22 are tall, and 23 are fat. If I select
one random person out of the 40 what is the
probability he is both tall and fat?
a. 0.085
b. 0.125
c. .05
d. 0.25
e. 0.4
13.
Answers:
1.d 2.a 3.e 4.d 5.b 6.a 7.b 8.e 9.d 10.c 11.d
12.b 13.d