Download MULTIPLE CHOICE. Choose the one alternative that best

Chapter 15 - Review
Contemporary Math
Name_____________________________________________Date___________________________
Class:______________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) Suppose we roll a regular six-sided die twice and note whether it lands as an even number (E) or
an odd number (O) on each roll. The sample space for this random experiment is
A) {E, E, O, O}.
B) {EE, EO, OO}.
C) {EE, EO, OE, OO}.
D) {E, O}.
E) none of these
1)
2) Suppose we roll a regular six-sided die three times and note whether it lands as an even number
(E) or an odd number (O) on each roll. Which of the following describes the sample space for this
random experiment?
A) {EEE, EEO, OEO, OEE, EOO, EOE, OOE, OOO}
B) {3 E's, 2 O's and 1 E, 1 E and 2 O's, 3 O's}
C) {E, O}
D) {EEE, OOO}
E) none of these
2)
3) In the game of Yahtzee, a set of five dice is rolled at once, and the number on each die is observed.
What is the size N of the sample space?
A) 6 5
3)
B) 6 P5
C) 6!
D) 5 6
E) none of these
4) A fair coin is tossed 6 times and heads or tails is noted on each toss. How many different outcomes
are there in the sample space?
A) 64
B) 12
C) 2
D) 36
E) none of these
A computer password consists of any five capital letters from the ordinary English alphabet (A through Z).
5) How many different passwords are possible?
A) 26 × 5
B) 265
C) 26 × 25 × 24 × 23 × 22
D) 25
E) none of these
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Professor Shawn J. Rutter
4)
5)
A license plate consists of any five capital letters from the ordinary English alphabet (A through Z) except for the letters
O, I, and Q.
6) How many of the license plates start with the letter Z?
6)
4
A) 23
B) 23 × 22 × 21 ×20
C) 235 - 1
D) 225
E) none of these
Tasmanian automobile licence plates consist of three capital letters (A through Z) followed by three digits (0 through 9).
7) How many different Tasmanian license plates are possible?
7)
6
A) 36
B) (26 × 3) + (10 × 3)
C) 263 + 103
D) 263 × 103
E) none of these
A French restaurant offers a menu consisting of 5 different appetizers, 3 different salads, 2 different soups, 7 different
main courses, and 3 different desserts. The restaurant offers different combinations of "fixed price dinners" on different
days of the week.
8) On Monday through Thursday, the "fixed price dinner" consists of a choice of appetizer, a soup, a
8)
main course, and a dessert. Assuming you don't pass on any of these, how many different "fixed
price dinners" are possible on these days?
A) 70
B) 17
C) 42
D) 210
E) none of these
Solve the problem.
9) 8 P3 =
A) 336
B) 56
C) 512
D) 6720
E) none of these
9)
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Professor Shawn J. Rutter
10) Three cards are drawn in order from a well shuffled deck of 52 cards. The probability that all three
cards are clubs is given by
A)
B)
C)
D)
3 × 13P1
52P3
13C3
52C3
13P3
52P3
10)
.
.
.
3 × 13C1
52C3
.
E) none of these
11) A student downloaded five music files to a portable MP3 player. In how many different orders can
the songs be played?
A) 120
B) 5
11)
C) 5 C5
D) 15
E) none of these
12) A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The
event described by E: "both dice will come up as even numbers" is
A) {(2, 4), (2, 6), (4, 2), (4, 6), (6, 2), (6, 4)}.
B) {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
C) {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1), (4, 2), (4, 3), (4,
4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}.
D) {(1, 1), (2, 2), (2, 4), (2, 6), (3, 3), (4, 2), (4, 4), (4, 6), (5, 5), (6, 2), (6, 4), (6, 6)}.
E) none of these
12)
13) If the chances of rain tomorrow are 20%, then the odds of rain tomorrow can be given as
A) 2 to 10.
B) 2 to 1.
C) 2 to 8.
D) 2 to 12.
E) none of these
13)
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Professor Shawn J. Rutter
14) Suppose that the odds of winning the grand prize in a raffle are 1 to 7. What is the probability of
winning the grand prize?
1
A)
6
B)
1
7
C)
6
7
D)
1
8
E) none of these
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Professor Shawn J. Rutter
14)
Answer Key
Testname: CHAPTER 15 REVIEW
1) C
2) A
3) A
4) A
5) B
6) A
7) D
8) D
9) A
10) C
11) A
12) B
13) C
14) D
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Professor Shawn J. Rutter