FALL 2012 MATH 1324 REVIEW EXAM 4
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Write the sample space for the given experiment.
1) An ordinary die is rolled.
A) {6}
1)
B) {1, 6}
C) {1, 2, 3, 4, 5, 6}
D) {36}
2) A box contains 10 red cards numbered 1 through 10. One card is drawn at random.
A) {100}
B) {10}
C) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
D) {1, 10}
3) A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. A
blue card is picked, followed by a green card.
2)
3)
A) {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}
B) {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}
C) {12}
D) {7}
4) A lottery uses balls numbered 1 through 37. An even-numbered ball is picked.
A) {2}
B) {36}
C) {2, 4, 6, . . . , 36}
4)
D) {1, 2, 3, . . . , 37}
For the experiment described, write the indicated event in set notation.
5) A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as
a subset of the sample space: The first toss shows a six.
A) {(6, 1), (6, 3), (6, 5)}
B) {(6, 1), (6, 2), (6, 4), (6, 5), (6, 6)}
C) {(6, 3)}
D) {(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
6) A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as
a subset of the sample space: The sum of the tosses is either three or four.
A) {(2, 1), (3, 1), (2, 2)}
B) {(1, 2), (2, 1), (1, 3), (3, 1), (2, 2)}
C) {(1, 2), (1, 3), (2, 2)}
D) {(1, 2), (2, 2)}
7) A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as
a subset of the sample space: Both tosses show an even number.
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) {(2, 2), (4, 4), (6, 6)}
D) {(2, 2), (2, 4), (2, 6)}
1
5)
6)
7)
8) A coin is tossed three times. Represent the event ʺthe first toss comes up tailsʺ as a subset of the
sample space.
A) {hhh, hht, hth, htt, thh, tht, tth, ttt}
B) {thh, tht, tth}
C) {tails, heads, heads}
D) {thh, tht, tth, ttt}
8)
A die is rolled twice. Write the indicated event in set notation.
9) The second roll is a 1.
9)
A) {(1, 1), (3, 1), (5, 1)}
B) {(1, 1), (2, 1), (4, 1), (5, 1), (6, 1)}
C) {(1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (6, 1)}
D) {(3, 1)}
10) The sum of the rolls is 8.
10)
A) {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B) {(2, 6), (3, 5), (4, 4)}
C) {(4, 4)}
D) {(2, 6), (3, 5), (5, 3), (6, 2)}
11) The sum of the rolls is either 5 or 6, and one roll is a 4.
11)
A) {(1, 4), (2, 4)}
B) {(4, 1), (4, 2), (1, 4), (2, 4)}
C) {(4, 1), (1, 4)}
D) {(4, 1), (4, 2)}
Find the probability of the given event.
12) A card drawn from a well-shuffled deck of 52 cards is a red ace.
1
1
1
B)
C)
A)
2
52
26
13) A card drawn from a well-shuffled deck of 52 cards is an ace or a 9.
2
5
A)
B) 10
C)
13
13
12)
D)
1
13
13)
13
D)
2
14) A bag contains 5 red marbles, 9 blue marbles, and 2 green marbles. A randomly drawn marble is
blue.
1
9
9
5
B)
C)
D)
A)
8
14
16
16
14)
15) A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. A randomly drawn marble is
not blue.
3
2
1
C)
D)
A) 6
B)
2
3
3
15)
16) A bag contains 19 balls numbered 1 through 19. A randomly chosen ball has an even number.
9
2
19
C)
D)
A) 9
B)
19
19
9
16)
2
Use the given table to find the probability of the indicated event. Round your answer to the nearest thousandth.
17) College students were given three choices of pizza toppings and asked to choose one favorite. The
following table shows the results.
17)
toppings freshman sophomore junior senior
cheese
11
13
25
25
meat
18
25
13
11
veggie
13
11
18
25
A randomly selected student prefers a cheese topping.
A) .356
B) .120
C) .338
D) .322
Determine whether the given events are disjoint.
18) Knowing Spanish and knowing Chinese
18)
A) Yes
B) No
19) Drawing a face card from a deck of cards and drawing a deuce
A) No
19)
B) Yes
Solve the problem.
20) A single die is rolled one time. Find the probability of rolling an odd number or a number less than
5.
5
2
1
B) 1
C)
D)
A)
6
3
2
20)
21) One card is selected from a deck of cards. Find the probability of selecting a black card or a queen.
27
15
7
1
A)
B)
C)
D)
52
26
13
26
21)
Suppose P(C) = .048, P(M ∩ C) = .044, and P(M ∪ C) = .524. Find the indicated probability.
22) P(M)
A) .480
22)
B) .472
C) .528
D) .520
23) P(Cʹ)
A) .956
23)
B) .476
C) 1
D) .952
24) P(Mʹ)
A) .520
24)
B) .472
C) .528
3
D) .480
Find the odds in favor of the indicated event.
25)
25) Spinning an A on the spinner pictured below. (The sectors are of equal size.)
A) 3 to 5
B) 3 to 1
C) 2 to 1
D) 1 to 3
26)
26) Randomly drawing a 5 from the cards pictured below.
A) 5 to 1
B) 4 to 1
C) 1 to 5
D) 1 to 4
Identify the probability statement as empirical or not.
27) The probability of a forest fire in Yellowstone National Park this year is .30.
A) Empirical
27)
B) Not empirical
An experiment is conducted for which the sample space is S = {a, b, c, d}. Decide if the given probability assignment is
possible for this experiment.
28)
28)
Outcomes Probabilities
a
.50
b
.26
c
.11
d
.13
A) No
B) Yes
29)
29)
Outcomes Probabilities
a
3/8
b
1/8
c
3/8
d
5/16
A) No
B) Yes
30)
30)
Outcomes Probabilities
a
.39
b
.15
c
.58
d
.18
A) Yes
B) No
4
Solve the problem.
31) A survey revealed that 25% of people are entertained by reading books, 48% are entertained by
watching TV, and 27% are entertained by both books and TV. What is the probability that a person
will be entertained by either books or TV? Express the answer as a percentage.
A) 100%
B) 46%
C) 73%
31)
D) 27%
32) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd.
1
1
B)
C) 1
D) 0
A)
6
2
32)
Find the median.
33) 3, 2, 22, 16, 50, 38, 31
A) 23
33)
B) 31
C) 22
D) 16
Find the mean for the frequency distribution. Round to the nearest tenth.
34)
34)
Value Frequency
139
1
195
4
265
4
305
6
337
2
A) 263.7
B) 304.7
C) 298.9
D) 73.0
Find the mode or modes.
35) 5, 9, 97, 3, 2, 8, 77, 1, 4, 16
A) 9
35)
B) 21.6
C) 8
D) No mode
36) 7.03, 7.41, 7.56, 7.03, 7.88, 7.99, 7.62
A) 7.503
36)
B) 7.03
C) 7.56
D) 7.41
37)
37) 98, 39, 32, 39, 29, 98
A) 98, 39
B) 98
C) 55.8
D) 39
Find the mean.
38) Frankʹs Furniture employees earned $201.10, $537.76, $221.17, $247.10, $287.60, and $150.28 for
last week. Find the mean wage.
A) $329.00
B) $411.25
C) $274.17
5
D) $317.00
38)
Answer Key
Testname: FINITE REV EXAM4
1) C
2) C
3) B
4) C
5) D
6) B
7) B
8) D
9) C
10) A
11) B
12) A
13) C
14) D
15) D
16) C
17) A
18) B
19) B
20) C
21) D
22) D
23) D
24) D
25) A
26) D
27) A
28) B
29) A
30) B
31) B
32) D
33) C
34) A
35) D
36) B
37) A
38) C
6