Question 1

From the information provided, create the sample space of possible outcomes
-Flip a coin three times.

Accepted Answer

A)  HH? ?TT ?TH TTT HTT THH H?T THT 
B)  H?? ??? ??? ??? ?H? THT TTH TTT 
C)  HH? TTT THT HTH HHT TTH HTH 
D)  HTT THT HTH HHH TTH TTT 
A)  HH? ?TT ?TH TTT HTT THH H?T THT 
B)  H?? ??? ??? ??? ?H? THT TTH TTT 
C)  HH? TTT THT HTH HHT TTH HTH 
D)  HTT THT HTH HHH TTH TTT

Question 2

Evaluate the expression.
-$${ } _ { 5 } \mathrm { P } _ { 4 }$$

Accepted Answer

A) 5 
B) 24 
C) 1 
D) 120 
A) 5 
B) 24 
C) 1 
D) 120

Question 3

If you are told that a randomly selected mystery person was born in the 1990's, what is the probability of guessing his/her exact birth date (including year)?

Accepted Answer

A)  $2.740 \times 10 ^ { - 4 }$ 
B)  $2.738 \times 10 ^ { - 4 }$ 
C)  $2.738 \times 10 ^ { - 3 }$ 
D)  $2.737 \times 10 ^ { - 3 }$ 
A)  $2.740 \times 10 ^ { - 4 }$ 
B)  $2.738 \times 10 ^ { - 4 }$ 
C)  $2.738 \times 10 ^ { - 3 }$ 
D)  $2.737 \times 10 ^ { - 3 }$

Question 4

Determine whether the events are mutually exclusive.
-Find $\mathrm { P } ( \overline { \mathrm { A } } )$, given that $\mathrm { P } ( \mathrm { A } ) = 0.662$.

Accepted Answer

A)  0 
B)  $1.511$ 
C)  $1.662$ 
D)  $0.338$ 
A)  0 
B)  $1.511$ 
C)  $1.662$ 
D)  $0.338$

Question 5

Determine whether the events are mutually exclusive.
-A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4).

Accepted Answer

A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 12 } { 13 }$ 
C)  16 
D)  $\frac { 2 } { 13 }$ 
A)  $\frac { 4 } { 13 }$ 
B)  $\frac { 12 } { 13 }$ 
C)  16 
D)  $\frac { 2 } { 13 }$

Question 6

Solve the problem.
-8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected?

Accepted Answer

A)  $\frac { 8 } { 27 }$ 
B)  $\frac { 1 } { 40,320 }$ 
C)  $\frac { 1 } { 2,220,075 }$ 
D)  $\frac { 1 } { 213,127,200 }$ 
A)  $\frac { 8 } { 27 }$ 
B)  $\frac { 1 } { 40,320 }$ 
C)  $\frac { 1 } { 2,220,075 }$ 
D)  $\frac { 1 } { 213,127,200 }$

Question 7

Find the indicated probability
-On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

Accepted Answer

A)  0 
B)  $\frac { 1 } { 7 }$ 
C)  7 
D)  1 
A)  0 
B)  $\frac { 1 } { 7 }$ 
C)  7 
D)  1

Question 8

Find the indicated probability
-A class consists of 46 women and 81 men. If a student is randomly selected, what is the probability that the student is a woman?

Accepted Answer

A)  $\frac { 46 } { 81 }$ 
B)  $\frac { 1 } { 127 }$ 
C)  $\frac { 81 } { 127 }$ 
D)  $\frac { 46 } { 127 }$ 
A)  $\frac { 46 } { 81 }$ 
B)  $\frac { 1 } { 127 }$ 
C)  $\frac { 81 } { 127 }$ 
D)  $\frac { 46 } { 127 }$

Question 9

Find the indicated probability
-If you drew one card from a standard deck, would it be "unusual" to draw an ace of hearts?

Accepted Answer

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

Question 10

Find the indicated probability
-In a homicide case 6 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 6 witnesses would pick the same person.

Accepted Answer

A) 0.0001286 
B) 1.2 
C) 0.000064 
D) 0.00032 
A) 0.0001286 
B) 1.2 
C) 0.000064 
D) 0.00032

From the information provided, create the sample space of possible outcomes -Flip a coin three times.

Evaluate the expression. - ${ } _ { 5 } \mathrm { P } _ { 4 }$

If you are told that a randomly selected mystery person was born in the 1990's, what is the probability of guessing his/her exact birth date (including year)?

Determine whether the events are mutually exclusive. -Find $\mathrm { P } ( \overline { \mathrm { A } } )$ , given that $\mathrm { P } ( \mathrm { A } ) = 0.662$ .

Determine whether the events are mutually exclusive. -A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4).

Solve the problem. -8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected?

Find the indicated probability -On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

Find the indicated probability -A class consists of 46 women and 81 men. If a student is randomly selected, what is the probability that the student is a woman?

Find the indicated probability -If you drew one card from a standard deck, would it be "unusual" to draw an ace of hearts?

Find the indicated probability -In a homicide case 6 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 6 witnesses would pick the same person.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Exam 4: Probability

From the information provided, create the sample space of possible outcomes -Flip a coin three times.

Evaluate the expression. - 5P4{ } _ { 5 } \mathrm { P } _ { 4 }5​P4​

If you are told that a randomly selected mystery person was born in the 1990's, what is the probability of guessing his/her exact birth date (including year)?

Determine whether the events are mutually exclusive. -Find P(A‾)\mathrm { P } ( \overline { \mathrm { A } } )P(A) , given that P(A)=0.662\mathrm { P } ( \mathrm { A } ) = 0.662P(A)=0.662 .

Determine whether the events are mutually exclusive. -A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4).

Solve the problem. -8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected?

Find the indicated probability -On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

Find the indicated probability -A class consists of 46 women and 81 men. If a student is randomly selected, what is the probability that the student is a woman?

Find the indicated probability -If you drew one card from a standard deck, would it be "unusual" to draw an ace of hearts?

Find the indicated probability -In a homicide case 6 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 6 witnesses would pick the same person.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Evaluate the expression. - ${ } _ { 5 } \mathrm { P } _ { 4 }$

Determine whether the events are mutually exclusive. -Find $\mathrm { P } ( \overline { \mathrm { A } } )$ , given that $\mathrm { P } ( \mathrm { A } ) = 0.662$ .