Choose the one alternative that best completes the statement or answers the question. -In a survey about the number of siblings of college students, the following probability table was constructed: \[\begin{array} { c | c } \text { Number of Siblings } & \text { Probability } \\ \hline 0 & 0.27 \\ \hline 1 & 0.31 \\ \hline 2 & 0.20 \\ \hline 3 & 0.13 \\ \hline 4 \text { or more } & 0.09 \end{array}\] What is the probability that a student has at most 2 siblings?

A) 0.58 B) 0.42 C) 0.78 D) 0.22 A) 0.58 B) 0.42 C) 0.78 D) 0.22

Choose the one alternative that best completes the statement or answers the question. -The table below shows the results of a consumer survey of annual incomes in 100 households. \[\begin{array} { l | c } \text { Income } & \text { Number of households } \\ \hline \$ 0 - 14,999 & 9 \\ \hline \$ 15,000 - 24,999 & 23 \\ \hline \$ 25,000 - 34,999 & 28 \\ \hline \$ 35,000 - 44,999 & 30 \\ \hline \$ 45,000 \text { or more } & 10 \end{array}\] What is the probability that a household has an annual income of $25,000 or more?

A) 0.6 B) 0.4 C) 0.28 D) 0.68 A) 0.6 B) 0.4 C) 0.28 D) 0.68

Exam 12: Counting and Probability

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -A twelve-sided die is weighted so that only the numbers 1 through 8 will appear and they will occur with the same probability. What probability should be assigned to each face?

(Essay)

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(35)

Question 101

Choose the one alternative that best completes the statement or answers the question. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 2, 9, or 4?

(Multiple Choice)

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(29)

Question 102

Solve the problem. -If $n ( A \cup B ) = 62 , n ( A \cap B ) = 14$ , and $n ( A ) = n ( B )$ , find $n ( A )$ .

(Multiple Choice)

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(37)

Question 103

Solve the problem. -6 different books are to be arranged on a shelf. How many different arrangements are possible?

(Multiple Choice)

4.9/5

(28)

Question 104

Choose the one alternative that best completes the statement or answers the question. -In a survey about the number of siblings of college students, the following probability table was constructed: Number of Siblings Probability 0 0.27 1 0.31 2 0.20 3 0.13 4 or more 0.09 What is the probability that a student has at most 2 siblings?

(Multiple Choice)

4.9/5

(32)

Question 105

Choose the one alternative that best completes the statement or answers the question. -In a probability model, which of the following numbers could be the probability of an outcome: $0,0.2 , - 0.01 , - \frac { 1 } { 3 } , \frac { 1 } { 2 } , \frac { 5 } { 4 } , 1,1.5$

(Multiple Choice)

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(38)

Question 106

Choose the one alternative that best completes the statement or answers the question. -Given that $P ( A ) = 0.14$ and $P ( B ) = 0.46$ , find $P ( A \cap B )$ if $A$ and $B$ are mutually exclusive.

(Multiple Choice)

4.8/5

(38)

Question 107

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?

(Multiple Choice)

4.8/5

(34)

Question 108

Solve the problem. -How many 2-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once.

(Multiple Choice)

4.7/5

(37)

Question 109

Solve the problem. -How many different license plates can be made using 2 letters followed by 3 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

(Multiple Choice)

4.7/5

(37)

Question 110

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Rolling a 6-sided fair die once and tossing a fair coin once.

(Essay)

4.8/5

(38)

Question 111

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

(Multiple Choice)

4.9/5

(39)

Question 112

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -A coin is weighted so that heads is 16 times as likely as tails to occur. What probability should be assigned to heads? to tails?

(Essay)

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Question 113

Choose the one alternative that best completes the statement or answers the question. -What is the probability that the arrow will land on an odd number? Assume that all sectors have equal area.

(Multiple Choice)

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(30)

Question 114

Choose the one alternative that best completes the statement or answers the question. -The table below shows the results of a consumer survey of annual incomes in 100 households. Income Number of households \ 0-14,999 9 \ 15,000-24,999 23 \ 25,000-34,999 28 \ 35,000-44,999 30 \ 45,000 or more 10 What is the probability that a household has an annual income of $25,000 or more?

(Multiple Choice)

4.8/5

(36)

Question 115

Choose the one alternative that best completes the statement or answers the question. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 2, 9, or 4?

Solve the problem. -If $n ( A \cup B ) = 62 , n ( A \cap B ) = 14$ , and $n ( A ) = n ( B )$ , find $n ( A )$ .

Solve the problem. -6 different books are to be arranged on a shelf. How many different arrangements are possible?

Choose the one alternative that best completes the statement or answers the question. -In a probability model, which of the following numbers could be the probability of an outcome: $0,0.2 , - 0.01 , - \frac { 1 } { 3 } , \frac { 1 } { 2 } , \frac { 5 } { 4 } , 1,1.5$

Choose the one alternative that best completes the statement or answers the question. -Given that $P ( A ) = 0.14$ and $P ( B ) = 0.46$ , find $P ( A \cap B )$ if $A$ and $B$ are mutually exclusive.

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?

Solve the problem. -How many 2-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once.

Solve the problem. -How many different license plates can be made using 2 letters followed by 3 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Rolling a 6-sided fair die once and tossing a fair coin once.

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

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -A coin is weighted so that heads is 16 times as likely as tails to occur. What probability should be assigned to heads? to tails?

Choose the one alternative that best completes the statement or answers the question. -What is the probability that the arrow will land on an odd number? Assume that all sectors have equal area.

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 12: Counting and Probability

Choose the one alternative that best completes the statement or answers the question. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 2, 9, or 4?

Solve the problem. -If n(A∪B)=62,n(A∩B)=14n ( A \cup B ) = 62 , n ( A \cap B ) = 14n(A∪B)=62,n(A∩B)=14 , and n(A)=n(B)n ( A ) = n ( B )n(A)=n(B) , find n(A)n ( A )n(A) .

Solve the problem. -6 different books are to be arranged on a shelf. How many different arrangements are possible?

Choose the one alternative that best completes the statement or answers the question. -Given that P(A)=0.14P ( A ) = 0.14P(A)=0.14 and P(B)=0.46P ( B ) = 0.46P(B)=0.46 , find P(A∩B)P ( A \cap B )P(A∩B) if AAA and BBB are mutually exclusive.

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?

Solve the problem. -How many 2-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once.

Solve the problem. -How many different license plates can be made using 2 letters followed by 3 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -Rolling a 6-sided fair die once and tossing a fair coin once.

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

Write the word or phrase that best completes each statement or answers the question. Construct a probability model for the experiment. -A coin is weighted so that heads is 16 times as likely as tails to occur. What probability should be assigned to heads? to tails?

Choose the one alternative that best completes the statement or answers the question. -What is the probability that the arrow will land on an odd number? Assume that all sectors have equal area.

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Solve the problem. -If $n ( A \cup B ) = 62 , n ( A \cap B ) = 14$ , and $n ( A ) = n ( B )$ , find $n ( A )$ .

Choose the one alternative that best completes the statement or answers the question. -Given that $P ( A ) = 0.14$ and $P ( B ) = 0.46$ , find $P ( A \cap B )$ if $A$ and $B$ are mutually exclusive.