Academic Algebra 2
Practice Worksheet: Probability
Name ______________________________
I. Write each probability as a fraction in simplest form and/or as an equivalent value.
1. The probability of a soccer player scoring a goal is 50%.
2. The probability of a baseball player getting a hit during his next at-bat is 64%.
II. List the sample space of each event writing out the specific outcomes. Then determine
the total number of possible outcomes.
3. You answer a true-or-false question on a test.
4. You roll a four-sided number tetrahedron (a tetrahedron is a solid with four sides).
5. You spin a wheel that is divided into the colors red, yellow, purple, blue, and orange.
6. Suppose that you flip a coin and then spin a wheel that is evenly divided into sections
numbered 1 through 5.
7. You spin one wheel and then you spin another wheel. The first wheel is divided into the
following dollar amounts: $0, $50, and $100. The second wheel is divided into the following
colors: white, red, and black.
III. Find the probability. Use correct notation.
8. You roll a six-sided number cube. What is the probability that you will roll a two?
9. You roll a six-sided number cube. What is the probability that you will roll a number greater
than two?
10. You choose a card from a deck of cards that are numbered 11 through 20. There is one of
each card in the deck. What is the probability that you will choose a number that is divisible by
five?
11. A box contains tiles with the letters A, B, C, and D. There are five of each lettered tile in the
box. You choose one tile from the box. What is the probability that you will choose a tile with a
letter that is a vowel?
12. A bag contains 3 red marbles, 8 pink marbles, and 5 blue marbles. You choose one marble
from the bag. What is the probability that you will choose a pink marble? Determine whether
the events in each situation are dependent or independent.
13. A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the
cooler without looking and pull out one bottle of apple juice. Then you reach into the cooler
and pull out another bottle of juice. What is the probability that the second bottle is also apple
juice?
14. A bag contains 8 black marbles and 20 yellow marbles. You reach into the bag and pull out a
black marble. Then you reach into the bag and pull out another marble. What is the probability
that the second marble is yellow?
IV. Compound Probability
15. Explain how each set of terms are related by identifying their similarities and differences.
a. simple event and compound events
b. P(A and B) and P(A or B)
16. Suppose that you roll a six-sided number cube, record the result, and then roll the six-sided
number cube again. Determine each probability:
a. What is the probability of rolling a 4 on the first roll?
b. What is the probability of rolling a 1 on the second roll?
c. What is the probability of rolling a number less than 5 on the second roll?
d. What is the probability of rolling a sum of 10?
e. What is the probability of rolling a sum of 8?
f. What is the probability of rolling a sum of 11?
17. Suppose that you roll a six-sided number cube and record the result. Determine each
probability.
a. What is the probability of rolling a 4 or a 5?
b. What is the probability of rolling a 1 or a 6?
c. What is the probability of rolling a 1 or an even number?
d. What is the probability of rolling an odd number or a 6?
e. What is the probability of rolling a number less than 3 or a number greater than 3?
18. Suppose that you have a standard deck of shuffled cards. Determine each probability with
replacement.
a. P(king and queen) if you draw two cards
b. P(3 and ace) if you draw two cards
c. P(two 7s) if you draw two cards
d. P(two hearts) if you draw two cards
e. P(three diamonds) if you draw three cards
f. P(three numbered cards) if you draw three cards
19. Suppose that you have a standard deck of shuffled cards. Determine each probability without
replacement.
a. P(5 and 6) if you draw two cards
b. P(two queens) if you draw two cards
c. P(two clubs) if you draw two cards
d. P(three black cards) if you draw three cards
e. P(two kings, then two queens) if you draw four cards
f. P(four red cards) if you draw four cards
20. A bag consists of 4 different colored marbles. The probability of drawing each is as follows:
P (Blue)=. 4
P (Red)= .2
P (Purple)= .3
P (Black)= .1
You draw a marble out of the bag and then replace it. What is the probability that you draw:
a. A red marble first and a blue marble second?
b. A black marble first and a purple marble second?
c. A red or blue marble?
d. A gray marble?
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