Question 1

Determine whether the following is a probability model.
-$\begin{array} { l | c } 
\text { Outcome } & \text { Probability } \
\hline \text { Jim } & 0 \
\text { Tom } & 0 \
\text { Bill } & 1 \
\text { Carl } & 0
\end{array}$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No A

Question 2

How many different vertical arrangements are there of 8 flags if 4 are white, 2 are blue, and 2 are red?

Accepted Answer

A)  420 
B)  20 
C)  70 
D)  16 
A)  420 
B)  20 
C)  70 
D)  16 A

Question 3

Find the value of the permutation.
-P(10, 3)

Accepted Answer

A)  604,800 
B)  360 
C)  10,080 
D)  720 
A)  604,800 
B)  360 
C)  10,080 
D)  720 D

Question 4

Solve the problem.
-In a survey of 159 vacationers in a popular beach resort town, 62 indicated they would consider buying a home there, 52 would consider buying a beach villa, 46 would consider buying a lot, 21 would consider both a home
And a villa, 20 would consider both a home and a lot, 18 would consider both a villa and a lot, and 9 would
Consider all three. How many vacationers would not consider any of the three? How many would consider only
A home?

Accepted Answer

A)  49; 17 
B)  49; 30 
C)  58; 42 
D)  49; 22 
A)  49; 17 
B)  49; 30 
C)  58; 42 
D)  49; 22

Question 5

Solve the problem.
-In a survey of 53 hospital patients, 19 said they were satisfied with the nursing care, 25 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with
Neither? How many were satisfied with only the medical treatment?

Accepted Answer

A)  15; 19 
B)  15; 25 
C)  13; 19 
D)  21; 25 
A)  15; 19 
B)  15; 25 
C)  13; 19 
D)  21; 25

Question 6

Solve the problem.
-The following data represent the marital status of females 18 years and older in a certain U.S. city. $$\begin{array} { l | c } 
\text { Marital Status } & \text { Number (in thousands) } \
\hline \text { Married } & 311 \
\text { Widowed } & 57 \
\text { Divorced } & 62 \
\text { Never married } & 111
\end{array}$$ Determine the number of females 18 years old and older who are married or widowed.

Accepted Answer

A)  368,000 
B)  311,000 
C)  373,000 
D)  430,000 
A)  368,000 
B)  311,000 
C)  373,000 
D)  430,000

Question 7

Solve the problem.
-How many different 7-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used and no letter can be used more than once?

Accepted Answer

A)  4,782,969 
B)  36 
C)  7 
D)  181,440 
A)  4,782,969 
B)  36 
C)  7 
D)  181,440

Question 8

Write down all the subsets of the given set.
-$\{ 2,4,10,11 \}$

Accepted Answer

A)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$,
$\{ 4,11 \} , \{ 10,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \}$, $\{ 4,10,11 \} , \varnothing$ 
B)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$, $\{ 4,11 \} , \{ 10,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \} , \{ 4,10,11 \} , \{ 2,4,10,11 \} , \varnothing$ 
C)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$, $\{ 4,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \} , \{ 4,10,11 \}$, $\{ 2,4,10,11 \} , \varnothing$ 
D)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$, $\{ 4,11 \} , \{ 10,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \} , \{ 4,10,11 \} , \{ 2,4,10,11 \}$ 
A)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$,
$\{ 4,11 \} , \{ 10,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \}$, $\{ 4,10,11 \} , \varnothing$ 
B)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$, $\{ 4,11 \} , \{ 10,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \} , \{ 4,10,11 \} , \{ 2,4,10,11 \} , \varnothing$ 
C)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$, $\{ 4,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \} , \{ 4,10,11 \}$, $\{ 2,4,10,11 \} , \varnothing$ 
D)  $\{ 2 \} , \{ 4 \} , \{ 10 \} , \{ 11 \} , \{ 2,4 \} , \{ 2,10 \} , \{ 2,11 \} , \{ 4,10 \}$, $\{ 4,11 \} , \{ 10,11 \} , \{ 2,4,10 \} , \{ 2,4,11 \} , \{ 2,10,11 \} , \{ 4,10,11 \} , \{ 2,4,10,11 \}$

Question 9

Use the information given in the figure.
-  How many are in A and B and C?

Accepted Answer

A)  58 
B)  71 
C)  1 
D)  13 
A)  58 
B)  71 
C)  1 
D)  13

Question 10

Write down all the subsets of the given set.
-{a}

Accepted Answer

A)  {a, b} 
B)  a 
C)  {a} 
D)  ∅, {a} 
A)  {a, b} 
B)  a 
C)  {a} 
D)  ∅, {a}

Question 11

Solve the problem.
-How many 2-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed.

Accepted Answer

A)  512 
B)  72 
C)  36 
D)  81 
A)  512 
B)  72 
C)  36 
D)  81

Question 12

Find the value of the permutation.
-P(7, 7)

Accepted Answer

A)  2 
B)  2520 
C)  1 
D)  5040 
A)  2 
B)  2520 
C)  1 
D)  5040

Question 13

Find the value of the permutation.
-P(9, 0)

Accepted Answer

A)  5 
B)  1 
C)  362,880 
D)  725,760 
A)  5 
B)  1 
C)  362,880 
D)  725,760

Question 14

Solve the problem.
-How many different license plates can be made using 4 letters followed by 2 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?

Accepted Answer

A)  41,127,840 
B)  889.880952 
C)  35,880,000 
D)  45,697,600 
A)  41,127,840 
B)  889.880952 
C)  35,880,000 
D)  45,697,600

Question 15

Solve the problem.
-Among a group of 84 investors, 25 owned shares of Stock A, 28 owned shares of Stock B, 43 owned shares of Stock C, 11 owned shares of both Stock A and Stock B, 11 owned shares of Stock A and Stock C, 16 owned shares
Of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the
Three? How many owned shares of either Stock A or Stock C but not Stock B?

Accepted Answer

A)  19; 33 
B)  26; 33 
C)  19; 40 
D)  19; 37 
A)  19; 33 
B)  26; 33 
C)  19; 40 
D)  19; 37

Question 16

Solve the problem.
-How many 5-card poker hands consisting of three 5's and two cards that are not 5's are possible in a 52-card deck?

Accepted Answer

A)  2652 
B)  5304 
C)  4512 
D)  2256 
A)  2652 
B)  5304 
C)  4512 
D)  2256

Question 17

Determine whether the following is a probability model.
-$\begin{array} { l | c } 
\text { Outcome } & \text { Probability } \
\hline \text { Red } & - 0.23 \
\text { Blue } & 0.28 \
\text { Green } & 0.32 \
\text { White } & 0.17
\end{array}$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 18

Solve the problem.
-How many different 10-letter words (real or imaginary) can be formed from the letters in the word IMMUNOLOGY?

Accepted Answer

A)  907,200 
B)  90,720 
C)  1,814,400 
D)  3,628,800 
A)  907,200 
B)  90,720 
C)  1,814,400 
D)  3,628,800

Question 19

Solve the problem.
-List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4,3)?

Accepted Answer

A)  $123,124,134,234$
$\mathrm { P } ( 4,3 ) = 4$ 
B)  $123,124,132,142,143,213,214,231,241,243,312,314,321,341,342,412,413,421,423,431$ $\mathrm { P } ( 4,3 ) = 20$ 
C)  $111,112,113,114,121,122,123,124,131,132,133,134,141,142,143,144,211,212,213,214,221,222,223$, $224,231,232,233,234,241,242,243,244,311,312,313,314,321,322,323,324,331,332,333,334,341,342$, $343,344,411,412,413,414,421,422,423,424,431,432,433,434,441,442,443,444$ $\mathrm { P } ( 4,3 ) = 64$ 
D)  $123,124,132,134,142,143,213,214,231,234,241,243,312,314,321,324,341,342,412,413,421,423,431$, 432 $\mathrm { P } ( 4,3 ) = 24$ 
A)  $123,124,134,234$
$\mathrm { P } ( 4,3 ) = 4$ 
B)  $123,124,132,142,143,213,214,231,241,243,312,314,321,341,342,412,413,421,423,431$ $\mathrm { P } ( 4,3 ) = 20$ 
C)  $111,112,113,114,121,122,123,124,131,132,133,134,141,142,143,144,211,212,213,214,221,222,223$, $224,231,232,233,234,241,242,243,244,311,312,313,314,321,322,323,324,331,332,333,334,341,342$, $343,344,411,412,413,414,421,422,423,424,431,432,433,434,441,442,443,444$ $\mathrm { P } ( 4,3 ) = 64$ 
D)  $123,124,132,134,142,143,213,214,231,234,241,243,312,314,321,324,341,342,412,413,421,423,431$, 432 $\mathrm { P } ( 4,3 ) = 24$

Question 20

How many different 11-letter words (real or imaginary) can be formed from the letters of the word MISSISSIPPI? Leave your answer in factorial form.

Accepted Answer

The answer of How many different 11-letter words (real or...

Determine whether the following is a probability model. - Outcome Probability Jim 0 Tom 0 Bill 1 Carl 0

How many different vertical arrangements are there of 8 flags if 4 are white, 2 are blue, and 2 are red?

Find the value of the permutation. -P(10, 3)

Solve the problem. -The following data represent the marital status of females 18 years and older in a certain U.S. city. Marital Status Number (in thousands) Married 311 Widowed 57 Divorced 62 Never married 111 Determine the number of females 18 years old and older who are married or widowed.

Solve the problem. -How many different 7-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used and no letter can be used more than once?

Write down all the subsets of the given set. - $\{ 2,4,10,11 \}$

Use the information given in the figure. - How many are in A and B and C?

Write down all the subsets of the given set. -{a}

Solve the problem. -How many 2-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed.

Find the value of the permutation. -P(7, 7)

Find the value of the permutation. -P(9, 0)

Solve the problem. -How many different license plates can be made using 4 letters followed by 2 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?

Solve the problem. -How many 5-card poker hands consisting of three 5's and two cards that are not 5's are possible in a 52-card deck?

Determine whether the following is a probability model. - Outcome Probability Red -0.23 Blue 0.28 Green 0.32 White 0.17

Solve the problem. -How many different 10-letter words (real or imaginary) can be formed from the letters in the word IMMUNOLOGY?

Solve the problem. -List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4,3)?

How many different 11-letter words (real or imaginary) can be formed from the letters of the word MISSISSIPPI? Leave your answer in factorial form.

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Filters

Exam 8: Counting and Probability

Determine whether the following is a probability model. - Outcome Probability Jim 0 Tom 0 Bill 1 Carl 0

How many different vertical arrangements are there of 8 flags if 4 are white, 2 are blue, and 2 are red?

Find the value of the permutation. -P(10, 3)

Solve the problem. -The following data represent the marital status of females 18 years and older in a certain U.S. city. Marital Status Number (in thousands) Married 311 Widowed 57 Divorced 62 Never married 111 Determine the number of females 18 years old and older who are married or widowed.

Solve the problem. -How many different 7-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used and no letter can be used more than once?

Write down all the subsets of the given set. - {2,4,10,11}\{ 2,4,10,11 \}{2,4,10,11}

Use the information given in the figure. - How many are in A and B and C?

Write down all the subsets of the given set. -{a}

Solve the problem. -How many 2-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed.

Find the value of the permutation. -P(7, 7)

Find the value of the permutation. -P(9, 0)

Solve the problem. -How many different license plates can be made using 4 letters followed by 2 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?

Solve the problem. -How many 5-card poker hands consisting of three 5's and two cards that are not 5's are possible in a 52-card deck?

Determine whether the following is a probability model. - Outcome Probability Red -0.23 Blue 0.28 Green 0.32 White 0.17

Solve the problem. -How many different 10-letter words (real or imaginary) can be formed from the letters in the word IMMUNOLOGY?

Solve the problem. -List all the ordered arrangements of 4 objects 1, 2, 3, and 4 choosing 3 at a time without repetition. What is P(4,3)?

How many different 11-letter words (real or imaginary) can be formed from the letters of the word MISSISSIPPI? Leave your answer in factorial form.

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Filters

Write down all the subsets of the given set. - $\{ 2,4,10,11 \}$