Download chapter 15 practice test

Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) If a fair coin is tossed twice, the probability that at least one of the tosses will come up heads is
3
A) .
4
B)
1
.
4
C)
1
.
2
D)
1
.
3
1)
E) None of the above
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) {E, O}
B) {EEE, EEO, OEO, OEE, EOO, EOE, OOE, OOO}
C) {EEE, OOO}
D) {3 E's, 2 O's and 1 E, 1 E and 2 O's, 3 O's}
E) None of the above
2)
3) An honest coin is tossed ten times. The probability that the number of heads is double the number
of tails is
2
A) .
3
3)
B) 0.
1
C) .
2
D)
1
.
3
E) None of the above
A pair of honest dice is rolled, and the number on each die is noted.
4) What is the probability of rolling a total of either 7 or 11?
1
A)
36
B)
1
4
C)
1
6
D)
1
18
E) None of the above
1
4)
Solve the problem.
5) 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
5)
B) 5 6
C) 6 P5
D) 6!
E) None of the above
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 begin with the word MATH?
6)
A) 23
B) 234 × 22
C) 23 × 224
D) 224
E) None of the above
Solve the problem.
7) Three cards are drawn in order from a well shuffled deck of 52 cards. The probability that all three
cards are K's is given by
4
3
2
A)
.
×
×
52
51
50
B)
4
4
4
.
×
×
52
51
50
C)
4 3
.
52
D)
4
3
2
.
×
×
52
52
52
7)
E) None of the above
A computer password is made up of five characters. Each character can be a capital letter (A through Z) or a digit (0
through 9).
8) How many passwords have four letters and only one digit?
8)
A) 4 × 26 × 10
B) 26 × 25 × 24 × 23 × 10
C) 264 × 10
D) 5 × 264 × 10
E) None of the above
2
Tasmanian automobile license plates consist of four capital letters (A through Z) followed by three digits (0 through 9).
9) How many Tasmanian license plates have no repeated symbols (different letters and different
9)
digits)?
A) 257
B) 26P4 × 10P3
C) 26C4 × 10C3
D) (264 - 1) × (103 - 1)
E) None of the above
A computer password is made up of four characters. Each character can be a capital letter (A through Z), a lowercase letter
(a through z) or a digit (0 through 9).
10) How many passwords consist entirely of letters?
10)
A) 52 × 51 ×50 × 49
B) 524
C) 4 52
D) 52 × 4
E) None of the above
I have given only a few ways to ask these types of questions on this test. We have went
through, as a class, several other things to consider while going through this work. I would
highly suggest that you go back through some of the work and review the classwrork based
off of what type of question is asked from these sample problems..
In other words, expect the chapter test to be about 20 questions of these types of questions.
Furthermore: notice that there wasn't much calculations done for this practice test. Anticipate
the same calibur of calculations for the actual test.
3
Answer Key
Testname: CHAPTER 5 PRACTICE TEST
1) A
2) B
3) B
4) E
5) A
6) A
7) A
8) D
9) B
10) B
4