Algebra 2 Trig
Chapter 12 Practice for Finals
Name _______________________
Write the letter for the correct answer in the blank at the right of each question.
1. Carl purchased four new shirts and three new pairs of pants. How many new outfits can he make
with these items?
A. 12
B. 7
C. 9
D. 81
1. ______
2. TRIATHALON During training, a triathlete works on biking, swimming, and running times. How
many ways can a triathlete choose the order of these activities in a training session?
F. 4
G. 9
H. 5
J. 6
2. ______
3. Evaluate P(7, 2).
A. 49
B. 21
C. 42
D. 14
3. ______
4. Evaluate C(6, 2).
F. 30
G. 15
H. 12
J. 36
4. ______
5. Two letters are selected at random from the word should. Find P(2 consonants).
A.
B.
C.
D.
5. ______
6. A blue die and a red die are tossed. What is the probability that a 6 will appear on both dice?
A.
B.
C.
D.
6. ______
7. A jar contains 10 purple marbles and 2 red marbles. If two marbles are chosen at random with no
replacement, what is the probability that 2 purple marbles are chosen?
F.
G.
H.
J.
7. ______
8. A bag contains 6 cherry, 8 strawberry, and 9 grape-flavored candies. What is the probability of
selecting a cherry or a grape flavored candy?
A.
B.
C.
D.
8. ______
9. A die is rolled. What is the probability of rolling a 6 or a number greater than 4?
F.
G.
H.
J.
9. ______
10. A coin is tossed 5 times. Find P(5 tails).
A.
B.
C.
D.
10. ______
Answer each question. Show work.
11. I have a change purse that has 4 quarters, 8 dimes, and 5 nickels. If I reach into the purse and pull out 4
coins, what is the probability that I pull out:
A) 4 quarters
B) 1 quarter, 2 dimes, and 1 nickel?
C) All dimes or all nickels?
12. Given the word SHOULD.
A) How many different ways can all the letters be arranged?
B) How many different ways can a 4-letter word be made, if repetition of the letters is allowed?
C) What is the probability that a 6-letter word begins with S and ends with a vowel?
13. Given the letters SUMMERVACATION.
A) How many different ways can all the letters be arranged?
CHALLENGE. Think about it...
On Kristen’s route to school, there are 4 stop lights. The probability of being stopped at the first light is .45, at
the second light is .30, at the third light is .55, and at the fourth light is .50. What is the probability that Kristen
will be stopped at at least one light on her drive to school? Show how you got your answer.