Question 1

FIGURE 1.   Refer to Figure 1. What is the expectation for the $ $7$ bet on odd on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Accepted Answer

A)    $0.45 
B)    $0.33 
C)    $0.41 
D)    $0.29 
E)    $0.37 
A)    $0.45 
B)    $0.33 
C)    $0.41 
D)    $0.29 
E)    $0.37

Question 2

Find the probability of the event with odds against it 1,000 to 1.

Accepted Answer

A)  $P ( E ) = \frac { 999 } { 1,000 }$ 
B)  $P ( E ) = \frac { 1 } { 1,000 }$ 
C)  $P ( E ) = \frac { 999 } { 1,001 }$ 
D)  $P( E ) = \frac { 1,000 } { 1,001 }$ 
E)  $P ( E ) = \frac { 1 } { 1,001 }$ 
A)  $P ( E ) = \frac { 999 } { 1,000 }$ 
B)  $P ( E ) = \frac { 1 } { 1,000 }$ 
C)  $P ( E ) = \frac { 999 } { 1,001 }$ 
D)  $P( E ) = \frac { 1,000 } { 1,001 }$ 
E)  $P ( E ) = \frac { 1 } { 1,001 }$

Question 3

What is the probability of obtaining at least one head in 3 flips of a coin?

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac{1}{8}$ 
C)  $\frac{7}{8}$ 
D)  $\frac{8}{9}$ 
E)  $\frac { 1 } { 3 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac{1}{8}$ 
C)  $\frac{7}{8}$ 
D)  $\frac{8}{9}$ 
E)  $\frac { 1 } { 3 }$

Question 4

The expected value of a game is computed by multiplying each dollar outcome by its probability and adding those values.

Accepted Answer

A) True 
 B)False

Question 5

Use the results of the fruit fly experiment in the table to find the probability (rounded to the nearest hundredth). 
 $\text { cellpadding }=0 " \text { cellspacing }=" 0 " \text { width }=" 71 \% \text { " border="0"> }$
$\text { Fruitflies after Radiation Exposure }$
$\begin{array}{llll} 
& \text { Mutated } & \text { Normal } & \text { Total } \
\text { Male } & 181 & 174 & 355 \
\text { Female } & 241 & 404 & 645 \
\text { Total } & 422 & 578 & 1,000
\end{array}$
 __________

Accepted Answer

The answer of Use the results of the fruit fly...

Question 6

FIGURE 1.   Refer to Figure 1. What is the expectation for the $ $$10$$ three-number bet on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________

Accepted Answer

The answer of FIGURE 1.   Refer to Figure...

Question 7

If the expected value of a game is a negative dollar amount, the game is favorable to the player.

Accepted Answer

A) True 
 B)False

Question 8

A single card is drawn from a standard deck of cards. Find the probability of $P ( \text { queen|face card } )$ .

Accepted Answer

A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 10 }$ 
D)  $\frac { 3 } { 52 }$ 
E)  $\frac { 3 } { 13 }$ 
A)  $\frac { 1 } { 3 }$ 
B)  $\frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 10 }$ 
D)  $\frac { 3 } { 52 }$ 
E)  $\frac { 3 } { 13 }$

Question 9

The expected value of a game is computed by adding up all the probabilities.

Accepted Answer

A) True 
 B)False

Question 10

P ( A or B ) means which of the following?

Accepted Answer

A)  P ( A )   P ( B ) 
B)  P ( A )   P ( B ) 
C)  P ( A   B ) 
D)  P ( A ) + P ( B ) 
E)  P ( A   B ) 
A)  P ( A )   P ( B ) 
B)  P ( A )   P ( B ) 
C)  P ( A   B ) 
D)  P ( A ) + P ( B ) 
E)  P ( A   B )

Question 11

Find the probability the event with odds in favor of 100 to 1.

Accepted Answer

A)  $P ( E ) = \frac { 100 } { 101 }$ 
B)  $P \left( E  \right) = \frac { 1 } { 100 }$ 
C)  $P ( E ) = \frac { 99 } { 100 }$ 
D)  $P ( E ) = \frac { 99 } { 101 }$ 
E)  $P \left( E  \right) = \frac { 1 } { 101 }$ 
A)  $P ( E ) = \frac { 100 } { 101 }$ 
B)  $P \left( E  \right) = \frac { 1 } { 100 }$ 
C)  $P ( E ) = \frac { 99 } { 100 }$ 
D)  $P ( E ) = \frac { 99 } { 101 }$ 
E)  $P \left( E  \right) = \frac { 1 } { 101 }$

Question 12

A box contains one each of $1, $10, $20, $50, and $100 bills. It costs $30 to reach in and withdraw one bill. What is the expected value?

Accepted Answer

A)  $5.50 
B)  $7.60 
C)  $6.20 
D)  $4.80 
E)  $6.90 
A)  $5.50 
B)  $7.60 
C)  $6.20 
D)  $4.80 
E)  $6.90

Question 13

Suppose that you roll two dice. You will be paid $ $10$ if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice, to the nearest cent?

Accepted Answer

A)  $2.87 
B)  $2.47 
C)  $3.27 
D)  $2.07 
E)  $1.67 
A)  $2.87 
B)  $2.47 
C)  $3.27 
D)  $2.07 
E)  $1.67

Question 14

Suppose that you randomly pick a digit 0 through 9. You will be paid $ $3$ if you select a prime number 3 or larger. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of playing this game, to the nearest cent? $ __________

Accepted Answer

The answer of Suppose that you randomly pick a digit...

Question 15

For the spinners in the figure below, assume that the pointer can never lie on a border line. Find $P ( F )$ Give your answer as a fraction.

Accepted Answer

The answer of For the spinners in the figure below,...

Question 16

Find $P ( \bar { D } )$ if $P ( D ) = 0.3$ .

Accepted Answer

A)  $P ( \bar { D } ) = 0.3$ 
B)  $P ( \bar { D } ) = \frac { 1 } { 3 }$ 
C)  $P ( \bar { D } ) = 0$ 
D)  $P ( \bar { D } ) = - 0.3$ 
E)  $P ( \bar { D } ) = 0.7$ 
A)  $P ( \bar { D } ) = 0.3$ 
B)  $P ( \bar { D } ) = \frac { 1 } { 3 }$ 
C)  $P ( \bar { D } ) = 0$ 
D)  $P ( \bar { D } ) = - 0.3$ 
E)  $P ( \bar { D } ) = 0.7$

Question 17

The game of Dungeons and Dragons uses nonstandard dice. Consider a die with eight sides marked 1, 2, 3, 4, 5, 6, 7, and 8. (In this problem, "an eight" refers to rolling an eight on either or both dice, while "a total of eight" refers to the sum on the two dice.) List the sample space for yourself in order to answer the following question. What is the probability of rolling exactly one seven with two such dice?

Accepted Answer

A)  $\frac { 7 } { 64 }$ 
B)  $\frac { 5 } { 64 }$ 
C)  $\frac { 7 } { 32 }$ 
D)  $\frac{1}{8}$ 
E)  $\frac { 3 } { 64 }$ 
A)  $\frac { 7 } { 64 }$ 
B)  $\frac { 5 } { 64 }$ 
C)  $\frac { 7 } { 32 }$ 
D)  $\frac{1}{8}$ 
E)  $\frac { 3 } { 64 }$

Question 18

In your mathematics class, there are 12 male and 17 female students who attended class on the first day of the semester. If you randomly select a student the first day, what is the probability you selected a female?

Accepted Answer

The answer of In your mathematics class, there are 12...

Question 19

FIGURE 1.   Refer to Figure 1. What is the expectation for the $ $5$ five-number bet on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Accepted Answer

A)    $0.35 
B)    $0.47 
C)    $0.43 
D)    $0.39 
E)    $0.51 
A)    $0.35 
B)    $0.47 
C)    $0.43 
D)    $0.39 
E)    $0.51

Question 20

Find the probability of $P( \bar { E } )$ if $P ( E ) = \frac { 11 } { 17 }$ . Give your answer as a fraction.

Accepted Answer

The answer of Find the probability of \(P( \bar {...

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $7$ bet on odd on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Find the probability of the event with odds against it 1,000 to 1.

What is the probability of obtaining at least one head in 3 flips of a coin?

The expected value of a game is computed by multiplying each dollar outcome by its probability and adding those values.

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $10$ three-number bet on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________

If the expected value of a game is a negative dollar amount, the game is favorable to the player.

A single card is drawn from a standard deck of cards. Find the probability of $P ( \text { queen|face card } )$ .

The expected value of a game is computed by adding up all the probabilities.

P ( A or B ) means which of the following?

Find the probability the event with odds in favor of 100 to 1.

A box contains one each of $1, $10, $20, $50, and $100 bills. It costs $30 to reach in and withdraw one bill. What is the expected value?

Suppose that you roll two dice. You will be paid $ $10$ if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice, to the nearest cent?

Suppose that you randomly pick a digit 0 through 9. You will be paid $ $3$ if you select a prime number 3 or larger. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of playing this game, to the nearest cent? $ __________

For the spinners in the figure below, assume that the pointer can never lie on a border line. Find $P ( F )$ Give your answer as a fraction. $For the spinners in the figure below, assume that the pointer can never lie on a border line. Find P ( F ) Give your answer as a fraction.$

Find $P ( \bar { D } )$ if $P ( D ) = 0.3$ .

In your mathematics class, there are 12 male and 17 female students who attended class on the first day of the semester. If you randomly select a student the first day, what is the probability you selected a female?

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $5$ five-number bet on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Find the probability of $P( \bar { E } )$ if $P ( E ) = \frac { 11 } { 17 }$ . Give your answer as a fraction.

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Statistics

Graphs

Filters

Exam 9: Probability

FIGURE 1. Refer to Figure 1. What is the expectation for the $ 777 bet on odd on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Find the probability of the event with odds against it 1,000 to 1.

What is the probability of obtaining at least one head in 3 flips of a coin?

The expected value of a game is computed by multiplying each dollar outcome by its probability and adding those values.

FIGURE 1. Refer to Figure 1. What is the expectation for the $ 101010 three-number bet on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________

If the expected value of a game is a negative dollar amount, the game is favorable to the player.

A single card is drawn from a standard deck of cards. Find the probability of P( queen|face card )P ( \text { queen|face card } )P( queen|face card ) .

The expected value of a game is computed by adding up all the probabilities.

P ( A or B ) means which of the following?

Find the probability the event with odds in favor of 100 to 1.

A box contains one each of $1, $10, $20, $50, and $100 bills. It costs $30 to reach in and withdraw one bill. What is the expected value?

Suppose that you roll two dice. You will be paid $ 101010 if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice, to the nearest cent?

Suppose that you randomly pick a digit 0 through 9. You will be paid $ 333 if you select a prime number 3 or larger. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of playing this game, to the nearest cent? $ __________

For the spinners in the figure below, assume that the pointer can never lie on a border line. Find P(F)P ( F )P(F) Give your answer as a fraction.

Find P(Dˉ)P ( \bar { D } )P(Dˉ) if P(D)=0.3P ( D ) = 0.3P(D)=0.3 .

In your mathematics class, there are 12 male and 17 female students who attended class on the first day of the semester. If you randomly select a student the first day, what is the probability you selected a female?

FIGURE 1. Refer to Figure 1. What is the expectation for the $ 555 five-number bet on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Find the probability of P(Eˉ)P( \bar { E } )P(Eˉ) if P(E)=1117P ( E ) = \frac { 11 } { 17 }P(E)=1711​ . Give your answer as a fraction.

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Statistics

Graphs

Filters

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $7$ bet on odd on a U.S. roulette wheel? Round the answer to the nearest hundredth.

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $10$ three-number bet on a U.S. roulette wheel? Round the answer to the nearest cent. $ __________

A single card is drawn from a standard deck of cards. Find the probability of $P ( \text { queen|face card } )$ .

Suppose that you roll two dice. You will be paid $ $10$ if you roll a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice, to the nearest cent?

Suppose that you randomly pick a digit 0 through 9. You will be paid $ $3$ if you select a prime number 3 or larger. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of playing this game, to the nearest cent? $ __________

For the spinners in the figure below, assume that the pointer can never lie on a border line. Find $P ( F )$ Give your answer as a fraction. $For the spinners in the figure below, assume that the pointer can never lie on a border line. Find P ( F ) Give your answer as a fraction.$

Find $P ( \bar { D } )$ if $P ( D ) = 0.3$ .

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $5$ five-number bet on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Find the probability of $P( \bar { E } )$ if $P ( E ) = \frac { 11 } { 17 }$ . Give your answer as a fraction.