Find the indicated probability.
284)
If two balanced die are rolled, the possible outcomes can be represented as follows.
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
Determine the probability that the sum of the dice is 10.
284)
A)
1
12
B)
1
9
C)
5
36
D)
1
18
Use counting rules to determine the probability.
285)
A tourist in France wants to visit 12 different cities. If the route is randomly selected, what is the
probability that she will visit the cities in alphabetical order?
285)
A)
0.00694
B)
0.08333
C)
0.00058
D)
0
Find the indicated probability by using the general addition rule.
286)
If you pick a card at random from a well shuffled deck, what is the probability that you get a face
card or a spade?
286)
A)
25
52
B)
11
26
C)
9
26
D)
1
22
287)
When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either
doubles are rolled or the sum of the dice is 8.
287)
A)
11
36
B)
1
4
C)
1
36
D)
5
18
List the outcomes comprising the specified event.
288)
Three board members for a nonprofit organization will be selected from a group of five people. The
board members will be selected by drawing names from a hat. The names of the five possible board
members are Allison, Betty, Charlie, Dave, and Emily. The possible outcomes can be represented as
follows.
ABC ABD ABE ACD ACE
ADE BCD BCE BDE CDE
Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on
the board. List the outcomes that comprise the following event.
A = event that fewer than two men are selected
288)
A)
ABC, ABD, ACE, ADE, BCE, BDE
B)
ACD, BCD, CDE
C)
ABC, ABD, ADE, BCE, BDE
D)
ABC, ABD, ABE, ACE, ADE, BCE, BDE
Find the indicated probability.
289)
An unprepared student makes random guesses for the ten true–false questions on a quiz. Find the
probability that there is at least one correct answer.
289)
A)
0.999
B)
0.9
C)
0.000977
D)
0.1
Determine the number of outcomes that comprise the specified event.
290)
The age distribution of students at a community college is given below.
Age (years) Number of students (f)
Under 21 2169
21–25 2087
26–30 1076
31–35 836
Over 35 247
A student from the community college is selected at random. The event A is defined as follows.
A = event the student is under 31
Determine the number of outcomes that comprise the event (not A).
290)
A)
1083
B)
836
C)
247
D)
5332
Describe the specified event in words.
291)
The number of hours needed by sixth grade students to complete a research project was recorded
with the following results.
Hours Number of students (f)
4 5
511
619
7 6
8 9
916
10 2
A student is selected at random. The events A and B are defined as follows.
A = the event the student took less than 7 hours
B = the event the student took between 7 and
5 hours inclusive
Describe the event (A or B) in words.
291)
A)
The event the student took less than 7 hours or between 7 and 5 hours inclusive
B)
The event the student took less than 7 hours and between 7 and 5 hours inclusive
C)
The event the student took between 7 and 7 hours inclusive
D)
The event the student took less than 7 hours or more than 7 hours
Determine whether the events are independent.
292)
When a coin is tossed three times, eight equally likely outcomes are possible.
HHH HHT HTH HTT
THH THT TTH TTT
Let
A = event the first two tosses are the same
B = event the last two tosses are the same.
Are A and B independent events?
292)
A)
Yes
B)
No
Provide an appropriate response.
293)
Which of the following could not possibly be probabilities?
A. –0.04
B. 10
7
C. 0
D. 0.20
293)
A)
B and C
B)
A and C
C)
A and B
D)
A and D
Find the indicated probability by using the special addition rule.
294)
The distribution of B.A. degrees conferred by a local college is listed below, by major.
Major Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering 868
9313
What is the probability that a randomly selected degree is in English or Mathematics?
294)
A)
0.517
B)
0.010
C)
0.455
D)
0.424
Draw a Venn diagram and shade the described events.
295)
From a finite sample, events A and B are non–mutually exclusive; however, event C is exclusive of
events A and B. Shade the collection A and B or C.
295)
A)
B)
C)
D)
Find the indicated probability by using the special addition rule.
296)
A card is drawn from a well–shuffled deck of 52 cards. What is the probability of drawing an ace or
a 7?
296)
A)
4
13
B)
8
C)
2
13
D)
13
2
Use Bayes’s rule to find the indicated probability.
297)
The first two columns of the table below give a percentage distribution for adults in one city by
income group. The third column gives the percentage of people in each income group who plan to
buy a new car next year.
Income Percentage Percentage that will
(dollars) of population buy new car next year
0 – 4999 5.2 2
5000 – 9999 6.4 3
10,000 – 14,999 5.4 6
15,000 – 19,999 8.7 7
20,000 – 24,999 9.4 9
25,000 – 29,999 10.2 10
30,000 – 34,999 13.8 11
35,000 – 39,999 10.7 13
40,000 – 49,999 15.5 15
50,000 and over 14.7 19
An adult is picked at random from the city. Given that the person selected plans to buy a new car
next year, what is the probability that the person’s income is between $5,000 and $9,999?
297)
A)
0.05
B)
0.03
C)
0.01
D)
0.02
Determine whether the events are independent.
298)
The following contingency table provides a joint frequency distribution for a random sample of
patients at a hospital classified by blood type and sex.
59 90 23 68
71 60 14 15
130 150 37 83
Suppose one of the patients is selected at random. Are the events T2 and S2 independent?
298)
A)
Yes
B)
No
Use the special multiplication rule to find the indicated probability.
299)
Find the probability that 3 randomly selected people have the same birthday. Ignore leap years.
299)
A)
0.00000751
B)
0.00000002
C)
0.3333
D)
0.0082
Find the indicated probability.
300)
The Book Industry Study Group, Inc., performs sample surveys to obtain information on
characteristics of book readers. A book reader is defined to be one who read one or more books
in the six months prior to the survey; a non–book reader is defined to be one who read
newspapers or magazines but no books in the six months prior to the survey; a nonreader is
defined to be one who did not read a book, newspaper, or magazine in the six months prior to
the survey.
The following data were obtained from a random sample of people 16 years old and over.
141 151 22 314
158 149 8315
200 95 4299
672 662 89 1423
Suppose one of these people is selected at random. Compute the probability that the person is a
book reader with a household income between $25,000 and $39,999.
300)
A)
0.472
B)
0.502
C)
0.235
D)
0.111
D
A
Determine whether the events are independent.
301)
In a local election, 50.2% of those aged under 40 and 46.1% of those aged over 40 vote in favor of a
certain ballot measure. Are age and position on the ballot measure independent?
301)
A)
Yes
B)
No
Find the indicated probability by using the special addition rule.
302)
A percentage distribution is given below for the size of families in one U.S. city.
Size Percentage
238.8
324.3
419.9
511.1
63.9
7+2.0
A family is selected at random. Find the probability that the size of the family is at least 5. Round
approximations to three decimal places.
302)
A)
0.830
B)
0.059
C)
0.941
D)
0.170
Find the conditional probability.
303)
The age distribution of students at a community college is given below.
Age (years) Number of students (f)
Under 21 416
21–25 418
26–30 219
31–35 56
Over 35 27
1136
A student from the community college is selected at random. Find the conditional probability that
the student is between 26 and 30 given that he or she is at least 26.
303)
A)
0.193
B)
0.266
C)
1
D)
0.725
Use the general multiplication rule to find the indicated probability.
304)
A sample of 4 different calculators is randomly selected from a group containing 43 that are
defective and 30 that have no defects. What is the probability that all four of the calculators selected
are defective?
304)
A)
4.5032
B)
0.2369
C)
0.1204
D)
0.1134
Use the basic counting rule to solve the problem.
305)
How many different 5–digit sequences can be formed using the digits 0, 1,…,6 if repetition of digits
is allowed?
305)
A)
16,807
B)
30
C)
360
D)
7776
Use the special multiplication rule to find the indicated probability.
306)
A family has five children. The probability of having a girl is 1/2. What is the probability of having
at least 4 girls?
306)
A)
0.3125
B)
0.0313
C)
0.1563
D)
0.1875
Solve the problem.
307)
The library is to be given 3 books as a gift. The books will be selected from a list of 8 titles. If each
book selected must have a different title, how many possible selections are there?
307)
A)
56
B)
6720
C)
40,320
D)
336
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4
Answer Key
Testname: C4