Practice Exam 4
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) Two coins are tossed 20 times and the number of tails is observed.
Outcome
Frequency
1)
2 tails 1 tail 0 tails
3
7
10
Compute the empirical probability that exactly one tail occurred.
7
17
1
A)
B)
C)
20
20
4
D)
1
2
2) A die is rolled 50 times with the following results.
Outcome
Frequency
2)
1 2 3 4 5 6
3 12 13 7 0 15
Compute the empirical probability that the die comes up a 5.
1
3
A) 0
B)
C)
3
20
D)
1
6
Estimate the indicated probability.
3) The table shows the number of college students who prefer a given pizza topping.
toppings freshman sophomore
cheese
14
16
meat
19
26
veggie
16
14
junior
20
16
19
3)
senior
26
14
26
Determine the empirical probability that a student prefers cheese toppings.
A) 0.336
B) 0.332
C) 0.115
D) 0.342
4) The Amboy Kennel Club has held an annual dog show for the last 30 years. During this time the
winner of "Best of Show" has been an Alaskan Malamute 15 times, a Great Pyrenees 3 times, and an
Siberian Husky 12 times. Determine the empirical probability that the next winner of "Best of
Show" will be an Alaskan Malamute.
5
1
1
A)
B)
C)
D) 1
8
2
10
Find the probability.
5) A bag contains 17 balls numbered 1 through 17. What is the probability of selecting a ball that has
an even number?
17
2
8
A)
B)
C) 8
D)
8
17
17
1
4)
5)
6) Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is
5?
1
5
8
A)
B) 4
C)
D)
9
6
9
6)
7) When two balanced dice are rolled, there are 36 possible outcomes. What is the probability that the
sum of the numbers on the dice is 6 or 9?
1
1
5
3
A)
B)
C)
D)
4
54
12
2
7)
8) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the
sum is a multiple of 3 or greater than 6.
7
5
29
13
A)
B)
C)
D)
9
9
36
18
8)
9) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of
drawing a face card or a 3?
2
4
48
A)
B) 16
C)
D)
13
13
52
9)
10) A card is drawn at random from a standard 52-card deck. Find the probability that the card is not
a queen.
1
12
3
1
A)
B)
C)
D)
13
13
4
4
10)
11) A card is drawn at random from a standard 52-card deck. Find the probability that the card is an
ace or not a club.
9
35
10
43
A)
B)
C)
D)
13
52
13
52
11)
Find the odds.
12)
12)
What are the odds in favor of spinning a D on this spinner?
A) 5:1
B) 1:6
C) 1:7
D) 6:1
13)
13)
What are the odds in favor of drawing a 2 from these cards?
A) 5:1
B) 4:1
C) 1:5
2
D) 1:4
14)
14)
What are the odds in favor of drawing an even number from these cards?
A) 3:2
B) 2:3
C) 2:5
D) 5:2
Solve the problem.
15) The odds in favor of a horse winning a race are posted as 9 : 4. Find the probability that the horse
will win the race.
4
9
9
4
A)
B)
C)
D)
9
14
13
13
15)
16) The odds in favor of a horse winning a race are posted as 8 : 7. Find the probability that the horse
will lose the race.
7
8
7
7
A)
B)
C)
D)
17
15
8
15
16)
17) The odds in favor of Carl beating his friend in a round of golf are 7 : 5 Find the probability that
Carl will beat his friend.
5
5
7
7
A)
B)
C)
D)
12
7
12
13
17)
18) The results of a medical test show that of 66 people selected at random who were given the test, 3
tested positive and 63 tested negative. Determine the odds in favor of a person selected at random
testing positive on the test.
A) 1 : 22
B) 1 : 21
C) 22 : 1
D) 21 : 1
18)
19) If it has been determined that the probability of an earthquake occurring on a certain day in a
certain area is 0.01, what are the odds against an earthquake?
A) 100 to 1
B) 1 to 100
C) 98 to 1
D) 99 to 1
19)
Find the probability.
20) A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or
a 8?
9
13
2
A)
B)
C)
D) 9
26
2
13
21) A lottery game has balls numbered 0 through 9. What is the probability of selecting an even
numbered ball or a 5?
3
2
A) 5
B)
C)
D) 2
5
5
Solve the problem.
22) A single die is rolled one time. Find the probability of rolling an odd number or a number less than
3.
1
1
5
2
A)
B)
C)
D)
2
3
6
3
3
20)
21)
22)
23) One card is selected from a deck of cards. Find the probability of selecting a red card or a heart .
1
1
3
A)
B)
C) 0
D)
2
4
4
23)
24) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of
drawing a face card or a spade?
1
25
11
6
A)
B)
C)
D)
2
52
26
13
24)
25) A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than
5.
1
1
1
A)
B)
C)
D) 1
4
6
3
25)
Find the probability.
26) If 82% of scheduled flights actually take place and cancellations are independent events, what is the
probability that 3 separate flights will take place?
A) 0.01
B) 0.55
C) 0.67
D) 0.82
26)
27) If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck,
find the probability of getting a heart on the first card and a diamond on the second.
1
1
13
1
A)
B)
C)
D)
204
16
204
169
27)
28) A family has five children. The probability of having a girl is 1/2. What is the probability of having
no girls?
A) 0.0313
B) 0.3126
C) 0.0625
D) 0.1563
28)
29) You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing
cards. Find the probability that both cards are black.
25
1
13
25
A)
B)
C)
D)
51
2652
51
102
29)
30) An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 5
contain errors. What is the probability that she selects none of those containing errors?
A) 0.0012
B) 0.0006
C) 0.7136
D) 0.708
30)
Evaluate the expression.
31) 13P6
A) 1,235,520
B) 10,080
C) 8,648,640
D) 617,760
Solve the problem.
32) How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not
allowed?
A) 16,807 five-digit numbers
B) 2520 five-digit numbers
C) 120 five-digit numbers
D) 119 five-digit numbers
4
31)
32)
33) In how many ways can 7 people line up for play tickets?
A) 1
B) 823,543
C) 5040
D) 7
34) How many different 4-letter radio-station call letters can be made if the first letter must be K or W,
repeats are allowed, but the call letters cannot end in an O?
A) 16,900
B) 35,152
C) 33,800
D) 456,976
33)
34)
An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.
35) In how many ways can the awards be presented so that Maria and Olivia will be next to each
35)
other?
A) 1,220
B) 720
C) 1,680
D) 1,440
36) In how many ways can the men be presented first and then the women?
A) 144
B) 5,040
C) 2
D) 72
Solve the problem.
37) How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6}
without any repeating digits?
A) 60 three-digit numbers
B) 20 three-digit numbers
C) 10 three-digit numbers
D) 120 three-digit numbers
36)
37)
38) There are 9 horses in a race. In how many ways can the first three positions of the order of the finish
occur? (Assume there are no ties.)
A) 504
B) 82
C) 84
D) 508
38)
39) A license plate is to consist of 2 letters followed by 5 digits. Determine the number of different
license plates possible if repetition of letters and numbers is permitted.
A) 67,600,000
B) 67,599,976
C) 19,656,000
D) 6,760,000
39)
40) How many ways can a committee of 2 be selected from a club with 12 members?
A) 2
B) 66
C) 132
D) 33
40)
41) In how many ways can a student work 6 out of 10 questions on an exam?
A) 1,000,000
B) 24
C) 210
41)
D) 5040
42) A bag contains 7 apples and 5 oranges. If you select 6 pieces of fruit without looking, how many
ways can you get 6 apples?
A) 14
B) 35
C) 7
D) 12
42)
43) A bag contains 9 apples and 7 oranges. If you select 8 pieces of fruit without looking, how many
ways can you get exactly 7 apples?
A) 72
B) 3528
C) 252
D) 504
43)
44) How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an ordinary
52-card deck?
A) 12
B) 288
C) 24
D) 6
44)
5
45) If a license plate consists of four digits, how many different licenses could be created having at least
one digit repeated.
A) 10,000
B) 5040
C) 4960
D) 3024
Find the probability (as a decimal rounded to four decimal places).
46) A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at
random. Find the probability that you have all cherry candies.
A) 0.3636
B) 0.1212
C) 0.1091
D) 0.7272
45)
46)
47) A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at
random. Find the probability that you have 2 cherry candies and 1 lemon candy.
A) 0.7272
B) 0.3636
C) 0.1818
D) 0.1212
47)
48) A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at
random. Find the probability that you have 1 cherry candy and 2 lemon candies.
A) 0.0303
B) 0.0424
C) 0.3636
D) 0.0364
48)
Find the mean of the set of data. Round your answer to the nearest tenth.
49) 86, 37, 19, 60, 73, 58, 55, 113, 18
A) 64.9
B) 55.7
C) 49.6
D) 57.7
Find the median of the set of data.
50) 1, 7, 11, 26, 30, 39, 49
A) 26
D) 23
51) 12, 15, 39, 54, 64, 67, 81
A) 47
B) 30
C) 11
B) 39
Find the mode or modes for the set of numbers.
52) 5, 9, 48, 3, 2, 8, 42, 1, 4, 16
A) 13.2
B) 9
53) 20, 23, 46, 23, 49, 23, 49
A) 49
B) 33.3
C) 54
D) 64
C) 8
D) No mode
C) 46
D) 23
Find the midrange of the set of data.
54) 9, 4, 3, 18, 4, 6, 23, 16, 16
A) 13.0
B) 15.5
C) 11.5
D) 7.8
55) 124, 33, 41, 70, 86, 21, 66, 117, 16
A) 70.0
B) 54.1
C) 72.5
D) 62.0
Solve the problem.
56) In his chemistry lab, Harrison measured the mass of a sample of calcium carbonate six different
times. The mass measurements he observed were: 2.016 g, 2.009 g, 2.017 g, 2.011 g, 2.012 g, and
2.011 g. Find the midrange of these measurements.
A) 2.01 g
B) 2.0115 g
C) 2.015 g
D) 2.013 g
6
49)
50)
51)
52)
53)
54)
55)
56)
Find the range for the set of data given.
57) 7 16 3 14 12
A) 3
B) 16
57)
C) 13
D) 5
C) 38
D) 57
Find the standard deviation. Round to one more place than the data.
59) 13, 8, 8, 18, 18, 6, 11, 10, 18
A) 1.5
B) 4.8
C) 5.1
D) 4.5
58) 23 31 19 45 57
A) 8
58)
B) 19
60) 50, 38, 62, 35, 71, 43, 88, 57, 55
A) 15.8
B) 6.9
C) 16.8
Find the mean of the set of data. Round your answer to the nearest tenth.
61) 11, 16, 2, 2, 2, 5, 7, 7, 8
A) 6.8
B) 6.6
C) 6.7
7
D) 17.9
D) 10.8
59)
60)
61)
Answer Key
Testname: MGF1106_PE4
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Answer Key
Testname: MGF1106_PE4
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