Name:___________________________
Class:________
Date:____________________________
Probability Study Guide
Intro to Probability
_____ 1. Linda flipped a fair coin six times, and the
result was heads each time. Which statement describes
the likelihood of obtaining tails on the seventh flip?
A. It is not at all likely.
B. It is less likely than heads.
C. It is just as likely as heads.
D. It is more likely than heads.
_____ 2.
If he chooses one pencil without looking, what color is
he LEAST likely to choose?
A . blue
B. green
C. red D. yellow
_____ 3.
What is the probability, to the nearest percent, that one
of the students surveyed, chosen at random, will prefer
Country or Rap music?
A. 15%
B. 25%
C. 38%
D. 50%
_____ 6. A fair number cube has sides numbered 1
through 6. When the cube is rolled 100 times,
which would be MOST likely to occur?
A. All the numbers rolled would be odd.
B. The number 6 would never be rolled.
C. The number 7 would be rolled at least once.
D. An even number would be rolled 50 times.
_____ 7. A taste test is conducted to see how people
like a new soft drink. Of those who participated 64 said
they preferred the new drink, 112 preferred the old soft
drink, and 24 could not tell any difference. What is the
probability that a person in this survey preferred the
new soft drink?
A) 8/25
B) 8/17
C. 4/7
D) 4/11
_____ 8. You toss a coin 30 times and get 12 heads. The
experimental probability of getting heads is:
A) ½
B) 2/5
C) 3/5
D) 2/3
_____ 9. You work at a T-shirt printing business. 564 of
4,700 T-shirts shipped are printed improperly. What is
the experimental probability that a T-shirt is printed
improperly?
A) 5.64%
B) 47%
C) 12%
D) 11%
Sample Space
_____ 10. When buying a new truck there are several
different options to choose from. Your truck can be 2-or
4-wheel drive, 5 exterior colors, 2 interior colors, and
single or double-cab. How many different variations are
there for this new truck?
A) 32
B) 40
C) 48
D) 60
_____ 4. Bernice placed 5 green paper clips, 6 blue
paper clips, and 9 yellow paper clips in a container. She
will reach into the container and pull out one paper clip
without looking. What is the probability
that the paper clip she chooses will be green?
A. 0.20
B. 0.25
C. 0.30
D. 0.33
Experimental vs. Theoretical Probability
5. What is the difference between experimental and
theoretical probability?
____________________________________________
_____ 11. What is the probability that heads (H) will appear
at least twice when the coin is tossed 4 times?
A) 3/8
B) 7/16
C) 5/8
D) 11/16
Compound Events
_____ 12. Tina has 3 red pens and 2 black pens in the
bottom of her book bag. All of the pens are the same
size and shape. Tina randomly selects a pen to use and
then puts it back in her book bag. Later she
randomly selects a pen a second time. What is the
probability that Tina selects a red pen both times?
Permutations
_____ 16. What is the number of permutations that can
be made using the letters PEN?
A) 1
B) 3
C) 8
D) 6
_____ 17. There are four children in Maria’s family.
How many permutations are there listing the children in
all possible age orders?
_____ 18. How many different ways can 14 paintings be
placed in 4 different locations?
Combinations
_____ 13. Joel has 8 white golf balls and 7 orange golf
balls in a bag. If he removes an orange golf ball and
does NOT return it to the bag, what is the probability
that the next golf ball he randomly picks
from the bag will be white?
_____ 19. Pizza Palace offers 10 different toppings. If
the special is for a 3-topping pizza, how many different
3-topping pizzas are possible?
20. What is the difference between a permutation and
a combination?
____________________________________________
_____ 21. How many different 4-people teams can be
created from the following students: Sam, Hank, Paul,
Bryan, Stephanie & Jennifer?
Mixed Review
_____ 14. Several students are volunteering to help
clean up the school grounds after school. If one of the
volunteers is chosen at random, what is the probability
that he or she is a sixth grader?
_____ 22. An event with a probability of
________.
A) Cannot occur
B) Is very likely to occur
C) Is not very likely to occur
D) Is certain
_____ 23. If you roll a number cube, what is the
theoretical probability of rolling a 6?
A) 1/5
B) 1/3
C) 1/6
D) ½
_____ 24. Suppose two standard dice are rolled. What
is the probability that one die shows 2 or 5, and the
other shows 1, 3, or 6?
A) ½
A) 9/20
B) 13/20
C) 7/20
D) 1/5
_____ 15. Which ratio shows the probability of getting
three consecutive heads from coin tossing?
A) 1/16
B) ¼
C) 1/8
D) 1/2
B) 1/3
C) 5/36
D)1/12