Name _______________________________________ Date __________________ Class __________________
Review for Test
Determine whether each event is impossible, unlikely, as likely
as not, likely, or certain.
1. rolling a number less than 4 on a number cube labeled 1
through 6
____________________
2. picking a card with a multiple of 3 from a box with 10
number cards numbered 1 through 10
____________________
3. drawing a red marble from a bag of 3 blue marbles, 8 red
marbles, and 2 green marbles
____________________
4. A spinner has 16 sections labeled 1 through 16. The
probability of spinning a number that is less than or equal
to 10 is
5
8
. What is the probability of spinning a number
that is not less than or equal to 10?
____________________
5. Luke is practicing his tennis serve. If he gets 21 out of
27 serves in, what is the experimental probability that
he will get the next serve in?
___________________________
6. Jose saw 50 people. Fourteen of them were wearing
red shirts and 17 were wearing blue shirts. What is
the experimental probability that the next person he
sees will be wearing a blue shirt?
___________________________
7. During an exit survey after a play, 75 of the first
120 people surveyed said they did not like the play.
a. What is the experimental probability that the next
person surveyed will say he or she liked the play?
______________________
b. What is the experimental probability that the next
person surveyed will say he or she did not like the play?
__________________
8. Joanna spins the spinners at the
right at the same time. What are
the possible outcomes? How many
outcomes are in the sample space?
______________________________________
______________________________________
_______________________________________
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Name _______________________________________ Date __________________ Class __________________
Find the probability of each event. Write your answer as a
fraction, as a decimal, and as a percent. Round to the nearest
tenth of a percent.
9. tossing three fair quarters and having all three of them land on
heads
________________________________________________________________________________________
10. randomly choosing a classical CD from a collection of CDs
consisting of 35 jazz CDs, 20 classical CDs, 25 rock CDs, and 5
country music CDs
________________________________________________________________________________________
11. randomly drawing a card with an even number from a shuffled
deck of 52 cards with four 13-card suits (diamonds, hearts, clubs
and spades), each of which has 9 number cards labeled 2-10
and 4 other cards
________________________________________________________________________________________
12. randomly choosing a vowel from a bag of 100 Scrabble® tiles
that has 12 E’s, 9 I’s, 8 O’s, 4 U’s and 2 Y’s.
________________________________________________________________________________________
Make a prediction based on an experimental probability.
13. A hockey goalie blocks 89% of shots at the goal. How many shots can the goalie
predict she or he will block in 758 tries?
_______________________________________
Make a prediction based on a theoretical probability.
14. A bag has 7 blue marbles, 3 red, 4 green, and 8 white. You pick a marble, record its
color, and return it. If you repeat this process 665 times, how many times can you
expect to pick a blue or green marble?
__________________________________________
Decide whether each set of events is independent or dependent.
Explain your answer.
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Name _______________________________________ Date __________________ Class __________________
15. A student spins an even number on a spinner and then spins
another even number on the second spin.
________________________________________________________________________________________
________________________________________________________________________________________
16. A student guesses on two multiple choice questions.
________________________________________________________________________________________
Solve.
17. Calista has 4 one-dollar bills, 2 five-dollar bills, and 3 ten-dollar
bills in her wallet. If she randomly chooses 2 bills from her
wallet, what is the probability that both are five dollar bills?
________________________________________________________________________________________
18. There are 10 true/false questions on a test. You do not know the
answer to 4 of the questions, so you guess. What is the
probability that you will get all 4 answers right?
________________________________________________________________________________________
19. If you have tomatoes, red peppers, onions, green peppers,
and mushrooms, how many combinations of three
vegetables are there?
_________________
20. How many three-letter combinations are possible
from P, Q, R, S, T, and U?
_________________
21. Kim has seven colors of hair ribbons: red, white, pink, green,
blue, black, and purple. She uses two different colors to
make a bow. How many different combinations of colors
can she choose?
_________________
Use the Fundamental Counting Principle and the formula,
Number of Combinations  Number of Ways  Number of
Orders, to find the number of combinations.
22. 9 things taken 5 at a time
23. 12 things taken 3 at a time
_______________________________________
________________________________________
24. 10 things taken 4 at a time
25. 12 things taken 4 at a time
_______________________________________
________________________________________
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26. a. Find the number of permutations of the letters
in the word BRAIN.
b. If you choose one of the permutations at random,
what is the probability that it will start with a vowel?
27. a. In how many ways can you arrange the numbers
4, 5, 6, 7, 8, and 9 to make a six-digit number?
b. If you choose one of the six-digit numbers at
random, what is the probability that the number
will be less than 600,000?
_________________
_________________
_________________
_________________
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Name ________________________________________ Date __________________
Class _________________
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