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Pre-AP Geometry – Chapter 14 Test Review
Standards/Goals:
 A.1.f.: I can find the probability of a simple event.
 F.1.c.: I can use area to solve problems involving geometric probability.
 S.CP.1: I can define the union, intersection and complements of events in the context of
probability.
 S.CP.2.: I can determine if two events are independent or not.
 S.CP.3.: I can determine the independence of two events based on a conditional probability.
 S.CP.4.: I can use a two-way table involving categories to determine probabilities.
 S.CP.5.: I can recognize the concepts of conditional probabilities and independence in
everyday situations.
 S.CP.6.: I can calculate a conditional probability and interpret the result in the context of the
given problem.
 S.CP.7.: I can use the General Addition rule for both mutually exclusive and non-mutually
exclusive events.
 S.CP.8(+): I can use the General Multiplication rule for events that are not independent.
 S.CP.9 (+): I can use combinations and permutations to compute probabilities.
 S.MD.6(+): I can compute both experimental and theoretical probabilities.
#1. What is the probability of rolling a number that fits the following criteria?
a. Greater than 2 on a number cube?
b. Greater than or equal to 2 on a number cube?
c. Less than 6 on a number cube?
d. Less than or equal to 3 on a number cube?
e. Greater than 4 on a number cube?
#2. A coin is tossed 40 times and lands on heads 21 times. What is the experimental probability of the
coin landing on tails?
#3. What is the theoretical probability of randomly choosing a history book from a shelf that holds 6
romance novels, 9 history books, and 4 sports books?
#4. What is the complement of rolling a 1 or 3 on a number cube?
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̅̅̅̅. Find the probability of each event.
#5. Point X is chosen at random on 𝐿𝑃
a. P(X is on LN)
b. P(X is on MO)
#6. Find the number of possible outcomes for creating an outfit from 4 pairs of pants, 3 skirts, 3 shirts,
and 6 pairs of shoes.
Use the following to answer the next FOUR questions:
Goals
0 1 2 3
Frequency 5 8 7 2
#7. How many games did the team play?
#8. What is the relative frequency of games with 1 goal scored?
#9. What is the probability that the team scored 2 or more goals?
#10. Which expression can be used to determine the probability of scoring fewer than 3 goals?
#11. What is the probability of rolling a 3 or 4 on a number cube and randomly drawing the 4 of spades
from a deck of cards?
#12. In one class, 25% of the students received an A on the last test and 33% of the students received a
B. What is the probability that a randomly chosen student received an A or a B?
#13. What is the probability of rolling a 3 or a number less than 5 on a number cube?
#14. You win 4 out of every 10 races that you run. Your friend wins 5 out of every 9 swimming
competitions she enters. What is the probability of you both winning the next events?
#15. What is the probability of rolling TWO 1’s if you roll a pair of dice?
#16. What is the probability of drawing a KING or a DIAMOND from a standard deck of cards?
#17. What is the probability of rolling a pair of dice and NOT rolling a 2 or a 3?
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#18. Find the probability of a point chosen at random being in the
NON-shaded area of the diagram shown.
The table below shows the number of participants at a charity event who walked or ran, and who
wore a red t-shirt or a blue t-shirt. Use the table for the next FOUR QUESTIONS:
BLUE T-shirt RED T-shirt TOTALS
Walk
60
50
110
Run
35
25
60
Totals
95
75
170
#19. What is the probability that a randomly chosen person ran AND wore a red t-shirt?
#20. What is the probability that a randomly chosen person walked AND wore a blue t-shirt?
#21. What is the P(walked ⎸ wore a red t-shirt)?
#22. What is the probability that a randomly chosen walker wore a red t-shirt?
#23. In how many different ways can 10 books be arranged on a bookshelf?
#24. Three frogs are sitting on a 15 foot log. The first two are spaced 5 feet apart and the third frog is
10 feet away from the second one. What is the probability that when a fourth frog hops onto the log
that it lands between the first two?
#25. Evaluate 𝒏
𝑷𝒓 = (
𝒏!
𝒏 −𝒓)!
for n = 13 and r = 8.
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#26. The dance team is made up of 18 girls. A captain and TWO co-captains are selected at random.
What is the probability that Sarah, Megan, and Ta’Nesha are chosen as leaders?
#27. Mark has 12 baseball trophies but he only has room to display 7 of them. If he chooses them at
random, what is the probability that each of the trophies from the school invitational from the 1st
through 7th grades will be chosen?
#28. The diagram shows the top of a student’s desk at home. A dart is dropped on the desk. What is
the probability that the dart lands on the book report?
#29. Use the spinner to find each probability. If the spinner lands on a line, it is spun again.
a. P(pointer landing on yellow)
b. P(pointer landing on orange)