MATH II – UNIT 1 TEST – PROBABILITY – FORM A
OBJECTIVE 1: Students will find the probability of an event using theoretical and experimental methods.
1. Explain the difference between theoretical and experimental probability.
2. Daran rolled a die 25 times. Twelve out of those twenty-five times he has rolled a three.
Part A: On his next turn, what is the THEORETICAL probability of rolling a three?
Part B: On his next turn, what is the EXPERIMENTAL probability of rolling a three?
3. 525 total people had cheese or pepperoni pizza yesterday at CiCi’s Pizza.
 263 of the customers were female
 67 of the customers had pepperoni pizza.
 180 of the males had cheese pizza.
What is the probability of randomly choosing a male or someone who had cheese pizza?
4. The P(A) = 0.56 and the P(B) = 0.21. If the 𝑃(𝐴 ∪ 𝐵) = 0.70, are these events mutually exclusive? Why or why
not?
OBJECTIVE 2: Students will find the probability of multiple events using independent and dependent
probability.
5. Explain the difference between independent and dependent probability.
6. You have a CD with 5 rock songs, 6 blues songs, and 1 rap songs. Today you hit the shuffle button on your CD
player which plays the songs in a random order. Tomorrow you do the same thing. What is the probability that
the CD player plays a blues song first each day?
7. In a new board game that recently came out, a player can automatically win the game if they roll a 6 three times in
a row. Amy says that the probability of someone winning this way is ½. Leigh argues that the probability of
someone winning this way is 1/216. Who is correct and WHY?
8. For a carnival game, a jar contains 20 blue marbles and 80 red marbles.
 Children take turns randomly selecting a marble from the jar.
 If a blue marble is chosen, the child wins a prize.
 After each turn, the marble is replaced.
 Casey has drawn six red marbles in a row.
Which statement is true?
a. The probability that Casey selects a blue marble on her next turn is higher than it was on her last turn
because she has chosen so many red marbles.
b. The probability that Casey selects a blue marble on her next turn is the same as it was on her last turn
because selections are independent of each other.
c. If Casey draws 4 more times, she will select 2 blue marbles because the probability that a blue marble will
be selected is 2 out of every 10 turns.
d. If Casey selects another red marble, then 2 of her next 3 picks will be blue marbles because 2 blue
marbles are selected for every 8 red marbles selected.
OBJECTIVE 3: Students will read frequency tables and find conditional probability.
A group of people were surveyed about how many pets they own. Use the data recorded in the table
below for # 11-13.
8
9
12
5
15
8
6
4
9. If a person was chosen at random out of those who were
surveyed, what is the probability that they would be male?
10. Find P(3 pets male)?
The UNCC alumni association compiled the following information about its recent graduates.
Use the data below to answer #11-12.
• 15% graduated with a B average or better
• 90% of those students who graduated with a B average or better were employed within 6
months of graduation
• 40% of those that graduated with less than a B average were employed within 6 months of
graduation
11. What is the probability that someone had an A average AND is employed within 6 months of graduation?
12. What is the probability that someone had a C average, GIVEN that they are unemployed.
OBJECTIVE 4: Students will use permutations and combinations to solve problems.
13. Pie Five Pizza Co. in Charlotte, NC allows customers to design their own pizzas. They offer 4 different
crusts, 7 different sauces, 3 different cheeses, 7 different meats, and 15 different vegetables. They boast
that customers can create over 10,000 different pizzas if customers pick just one item from each
category! Is this true? How do you know?
14. Coach Schmidt is trying to make the best possible batting line-up for next week’s game. How many
different batting orders can he create if he has 9 players?
15. Mrs. Evans’ son is trying to promote his band, Supatight (seriously! Look them up!). He needs to submit
a demo CD to a recording company and isn’t sure what songs to include and in what order. They have 8
new songs, but can only put 3 on the demo CD. How many arrangements of songs are possible?
16. Twenty people report for jury duty. How many different 12-person juries can be chosen?
BONUS – Geometric Probability (+5pts):
What is the probability that a point chosen at random would be
in the shaded space in the diagram at right?
Hint: Rectangle: A=lw
Circle: A=Πr2