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Topic 12 and 13 – Probability Concepts and Compound Events
Test Review
1) How many outcomes would be possible if Sara is rolling a number cube and spinning a spinner with 3 sections?
2) Create a sample space to show all the possible outcomes if Sara is rolling a number cube and spinning a spinner
with 3 sections labeled red, green, and blue.
3) Use the spinners shown below.
a. Find the probability of spinning a blue and landing on X.
b. Could these be classified as independent or dependent events?
c. Create a sample space to show all the possible outcomes if you spin both spinners.
d. Lauren spins both spinners 24 times. How many times can she expect to land on blue and X?
4) If a coin is tossed three times, what is the probability that the coin lands on heads the first toss, tails on the
second toss, and heads on the third toss?
5) Ten cards are numbered 1 through 10. The cards are well shuffled and are drawn at random. Three cards are
drawn and then replaced. The first and second cards drawn show 3 and 8, respectively. Find the probability of
selecting an odd number on the third draw. (HINT – These are NOT multiple events!)
6) Ten cards are numbered 1 through 10. The cards are well shuffled and are drawn at random. Find the probability
of selecting an even number greater than 5 on the first draw, replacing it, and then selecting an odd number less
than 5 on the second draw.
7) A box contains 5 red marbles, 6 white marbles, 6 green marbles, and 1 blue marble. Find the probability of
selecting a red marble on the first draw, replacing it, and then selecting a white marble on the second draw.
8) The numbers 1 through 25 are written on separate pieces of paper and dropped in a box. One paper is chosen at
random. What is the probability of selecting a piece of paper that has a number with a 2 in the ONES PLACE?
9) Santi has a spinner that is divided into six equal parts and a 6-sided number cube. If he spins the spinner and
rolls the number cube, how many possible outcomes does Santi have?
10) A bag contains 10 purple gumballs and 5 green gumballs. What is the probability of choosing a purple gumball,
deciding you want a different color and replacing the gumball, and then choosing a green gumball?
11) Give one example for each type of event:
a. Impossible
b. Unlikely
c. As likely as not
d. Likely
e. Certain
12) Mrs. Baker has to choose two students to lead the class field trip. If she draws from a list of six boys and six girls,
what is the probability that two girls will be chosen?
13) The school bookstore randomly surveyed 40 students and found that 25 prefer school sweatshirts and 15
prefer school t-shirts.
a. What percent prefer sweatshirts?
b. Suppose the manager of the bookstore plans to order 320 school shirts. How many sweatshirts should
be ordered?
14) A cookie jar contains 5 chocolate chip cookies, 7 peanut butter cookies, and 3 sugar cookies. If a cookie is
selected at random, what is the probability of the complement of choosing a sugar cookie?
15) Of the 30 8th grade students surveyed, 5 said they would vote for Nancy as their representative of the student
council. If the results of this survey are used to predict the election outcome and 330 8th grade students vote,
how many votes should Nancy expect to receive?
16) Jeff rolled a number cube 12 times. The results of the experiment are shown below.
6, 3, 1, 1, 6, 5, 4, 2, 3, 3, 1, 3
a. What was Jeff’s experimental probability of rolling a 3?
b. How does this compare to the theoretical probability of rolling a 3? Show work to justify your answer.
17) A coin is tossed and the four-colored spinner shown below is spun once.
What is the probability that the coin will land on tails and the spinner will NOT land on red?
18) Forrest has a box of chocolate candies, all of which look alike. Fifteen of the candies have a caramel filling, 9
have a cherry filling, and 12 have a vanilla filling.
a. What is the probability that Forrest will eat a caramel-filled piece of candy first and a vanilla-filled piece
of candy second?
b. What is the probability that Forrest will eat two cherry-filled pieces of candy?
19) Kent put 18 marbles into a jar. Eight are black, 7 are red, and 3 are silver.
a. If Kent takes one marble from the jar without looking, what is the probability of the complement of
choosing a black marble?
b. If Kent chooses a marble from the jar 45 times, how many times can he expect to choose a marble that
is NOT black?
20) The sample space for flipping a coin and rolling a number cube is shown below.
H1
a. What is the probability of landing on heads and rolling a 4?
b. If you complete this experiment 48 times, how many times could you expect to get this outcome?
21) A company surveyed a group of workers about how they get to work. The results of the survey are shown in the
dot plot below.
What percent of the surveyed workers get to work by something other than bus, car or train?
22) The circle graph shows different age groups of people who live in a certain area.
There are 32 people who are no more than 17 years old. How many people are at least 45 years old?
23) Mark has two boxes of marbles. The double-bar graph shows the number of each color marble in Box A and Box B.
a. What is the ratio of red to yellow marbles in Box B?
b. Without looking, what is the probability of selecting a marble other than red from Box A and a green
marble from Box B?
24) At a new middle school, students voted on the name of a school mascot. The results of the vote are shown
below.
a. Which statement is supported by the information in the graph?
i. Half of the students voted for Apollo.
ii. More students voted for Apollo than for Sojourner or Voyager combined.
iii. The fewest number of students voted for Voyager.
iv. Exactly 20% of students voted for Apollo.
b. What percent of students voted for Gemini?