Question 1

A box contains one each of $1, $5, $10, $50, and $100 bills. You reach in and withdraw one bill. What is the expected value to the nearest cent?

Accepted Answer

A)  $33.40 
B)  $33.00 
C)  $33.20 
D)  $33.60 
E)  $32.80 
A)  $33.40 
B)  $33.00 
C)  $33.20 
D)  $33.60 
E)  $32.80 C

Question 2

FIGURE 2.   Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven: $P \text { (seven) }$ Give the answer as an exact fraction.

Accepted Answer

A)  $P ( \text { seven } ) = \frac { 1 } { 12 }$ 
B)  $P ( \text { seven } ) = \frac { 3 } { 13 }$ 
C)  $P ( \text { seven } ) = \frac { 1 } { 13 }$ 
D)  $P ( \text { seven } ) = \frac { 5 } { 36 }$ 
E)  $P ( \text { seven } ) = \frac { 1 } { 6 }$ 
A)  $P ( \text { seven } ) = \frac { 1 } { 12 }$ 
B)  $P ( \text { seven } ) = \frac { 3 } { 13 }$ 
C)  $P ( \text { seven } ) = \frac { 1 } { 13 }$ 
D)  $P ( \text { seven } ) = \frac { 5 } { 36 }$ 
E)  $P ( \text { seven } ) = \frac { 1 } { 6 }$ E

Question 3

Use estimation to select the best response. Do not calculate. 
Which of the following is more probable? 
Obtaining a six 3 times in 5 rolls of a die or 
Obtaining a six at least 3 times in 5 rolls of a die or 
They are equally probable

Accepted Answer

Obtaining a six at least 3 times in 5 rolls of a die

Question 4

Find the probability the event with odds in favor of 1 to 9.

Accepted Answer

A)  $P ( E ) = \frac { 10 } { 11 }$ 
B)  $P ( E ) = \frac { 1 } { 10 }$ 
C)  $P ( E ) = \frac { 8 } { 9 }$ 
D)  $P ( E ) = \frac { 9 } { 10 }$ 
E)  $P ( E ) = \frac { 1 } { 11 }$ 
A)  $P ( E ) = \frac { 10 } { 11 }$ 
B)  $P ( E ) = \frac { 1 } { 10 }$ 
C)  $P ( E ) = \frac { 8 } { 9 }$ 
D)  $P ( E ) = \frac { 9 } { 10 }$ 
E)  $P ( E ) = \frac { 1 } { 11 }$

Question 5

FIGURE 1.   Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?

Accepted Answer

A)  P (Tails) = $\frac { 1 } { 3 }$ 
B)  P (Tails) = $\frac { 1 } { 4 }$ 
C)  P (Tails) = $\frac{1}{5}$ 
D)  P (Tails) = $\frac { 1 } { 6 }$ 
E)  P (Tails) = $\frac { 1 } { 2 }$ 
A)  P (Tails) = $\frac { 1 } { 3 }$ 
B)  P (Tails) = $\frac { 1 } { 4 }$ 
C)  P (Tails) = $\frac{1}{5}$ 
D)  P (Tails) = $\frac { 1 } { 6 }$ 
E)  P (Tails) = $\frac { 1 } { 2 }$

Question 6

If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?

Accepted Answer

A)  $39,917,124$ plates 
B)  $200,000$ plates 
C)  $67,600,000$ plates 
D)  $6,760$ plates 
E)  $4,224,950$ plates 
A)  $39,917,124$ plates 
B)  $200,000$ plates 
C)  $67,600,000$ plates 
D)  $6,760$ plates 
E)  $4,224,950$ plates

Question 7

Find the odds in favor of an event with the following probability: $$P( E ) = \frac { 1 } { 2 }$$

Accepted Answer

A)  $1$ to $4$ 
B)  $3$ to $4$ 
C)  $1$ to $1$ 
D)  $4$ to $1$ 
E)  $1$ to 2 
A)  $1$ to $4$ 
B)  $3$ to $4$ 
C)  $1$ to $1$ 
D)  $4$ to $1$ 
E)  $1$ to 2

Question 8

In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student brought a calculator the first day?

Accepted Answer

The answer of In your mathematics class, there are 28...

Question 9

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

Accepted Answer

A)    $0.42 
B)    $0.26 
C)    $0.50 
D)    $0.34 
E)    $0.18 
A)    $0.42 
B)    $0.26 
C)    $0.50 
D)    $0.34 
E)    $0.18

Question 10

Find the probability of the event with odds in favor of 3 to 4. $$P ( E ) = \frac { ? } { ? }$$

Accepted Answer

The answer of Find the probability of the event with...

Question 11

Suppose you simultaneously toss a coin and roll a die. The possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a three? Give your answer as a reduced fraction.

Accepted Answer

The answer of Suppose you simultaneously toss a coin and...

Question 12

Find $P( \bar { B } )$ if $P ( B ) = 0.4$ $$P ( \bar { B } )$$ = __________

Accepted Answer

The answer of Find $P( \bar { B } )$...

Question 13

What is the probability of obtaining a sum of at least 11 when rolling a pair of dice? Give your answer as a fraction.

Accepted Answer

The answer of What is the probability of obtaining a...

Question 14

Suppose that you have $6$ quarters, $6$ dimes, $8$ nickels, and $5$ pennies in your pocket. You reach in and choose a coin at random. What is the expectation?

Accepted Answer

A)  $0.116 
B)  $0.123 
C)  $0.102 
D)  $0.095 
E)  $0.109 
A)  $0.116 
B)  $0.123 
C)  $0.102 
D)  $0.095 
E)  $0.109

Question 15

What is the probability of a family with 6 children having 3 boys and 3 girls?

Accepted Answer

A)  $\frac { 5 } { 16 }$ 
B)  $\frac { 11 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  0 
E)  $\frac { 3 } { 64 }$ 
A)  $\frac { 5 } { 16 }$ 
B)  $\frac { 11 } { 16 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  0 
E)  $\frac { 3 } { 64 }$

Question 16

Find the probability of the event with odds against it 2 to 1.

Accepted Answer

A)  $P ( E ) = \frac { 1 } { 2 }$ 
B)  $P( E ) = \frac { 2 } { 3 }$ 
C)  $P( E ) = \frac { 1 } { 3 }$ 
D)  $P ( E ) = \frac { 1 } { 4 }$ 
E)  $P ( E ) = \frac { 3 } { 4 }$ 
A)  $P ( E ) = \frac { 1 } { 2 }$ 
B)  $P( E ) = \frac { 2 } { 3 }$ 
C)  $P( E ) = \frac { 1 } { 3 }$ 
D)  $P ( E ) = \frac { 1 } { 4 }$ 
E)  $P ( E ) = \frac { 3 } { 4 }$

Question 17

Find the probability of the event with odds in favor of 100 to 1. $$P ( E ) = \frac { ? } { ? }$$

Accepted Answer

The answer of Find the probability of the event with...

Question 18

In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?

Accepted Answer

A)  $\frac { 7 } { 36 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 1 } { 18 }$ 
D)  $\frac { 1 } { 12 }$ 
E)  $\frac { 1 } { 36 }$ 
A)  $\frac { 7 } { 36 }$ 
B)  $\frac { 2 } { 9 }$ 
C)  $\frac { 1 } { 18 }$ 
D)  $\frac { 1 } { 12 }$ 
E)  $\frac { 1 } { 36 }$

Question 19

A magazine subscription service is having a contest in which the prize is $80,000. If the company receives one million entries, what is the expectation of the contest?

Accepted Answer

A)  $0.12 
B)  $0.11 
C)  $0.08 
D)  $0.10 
E)  $0.09 
A)  $0.12 
B)  $0.11 
C)  $0.08 
D)  $0.10 
E)  $0.09

Question 20

The campus vets club is having a raffle and is selling 2,500 tickets. If the people on the floor of your dorm bought 495 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

Accepted Answer

The answer of The campus vets club is having a...

A box contains one each of $1, $5, $10, $50, and $100 bills. You reach in and withdraw one bill. What is the expected value to the nearest cent?

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining a six 3 times in 5 rolls of a die or Obtaining a six at least 3 times in 5 rolls of a die or They are equally probable

Find the probability the event with odds in favor of 1 to 9.

FIGURE 1. Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?

If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?

Find the odds in favor of an event with the following probability: $P( E ) = \frac { 1 } { 2 }$

In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student brought a calculator the first day?

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

Find the probability of the event with odds in favor of 3 to 4. $P ( E ) = \frac { ? } { ? }$

Suppose you simultaneously toss a coin and roll a die. The possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a three? Give your answer as a reduced fraction.

Find $P( \bar { B } )$ if $P ( B ) = 0.4$ $P ( \bar { B } )$ = __________

What is the probability of obtaining a sum of at least 11 when rolling a pair of dice? Give your answer as a fraction.

Suppose that you have $6$ quarters, $6$ dimes, $8$ nickels, and $5$ pennies in your pocket. You reach in and choose a coin at random. What is the expectation?

What is the probability of a family with 6 children having 3 boys and 3 girls?

Find the probability of the event with odds against it 2 to 1.

Find the probability of the event with odds in favor of 100 to 1. $P ( E ) = \frac { ? } { ? }$

In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?

A magazine subscription service is having a contest in which the prize is $80,000. If the company receives one million entries, what is the expectation of the contest?

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Exam 9: Probability

A box contains one each of $1, $5, $10, $50, and $100 bills. You reach in and withdraw one bill. What is the expected value to the nearest cent?

FIGURE 2. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to seven: P (seven) P \text { (seven) }P (seven) Give the answer as an exact fraction.

Use estimation to select the best response. Do not calculate. Which of the following is more probable? Obtaining a six 3 times in 5 rolls of a die or Obtaining a six at least 3 times in 5 rolls of a die or They are equally probable

Find the probability the event with odds in favor of 1 to 9.

FIGURE 1. Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails?

If a state issued license plates using the scheme of two letters followed by five digits, how many plates could it issue?

Find the odds in favor of an event with the following probability: P(E)=12P( E ) = \frac { 1 } { 2 }P(E)=21​

In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student brought a calculator the first day?

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

Find the probability of the event with odds in favor of 3 to 4. P(E)=??P ( E ) = \frac { ? } { ? }P(E)=??​

Suppose you simultaneously toss a coin and roll a die. The possible outcomes are H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6. What is the probability of a three? Give your answer as a reduced fraction.

Find P(Bˉ)P( \bar { B } )P(Bˉ) if P(B)=0.4P ( B ) = 0.4P(B)=0.4 P(Bˉ)P ( \bar { B } )P(Bˉ) = __________

What is the probability of obtaining a sum of at least 11 when rolling a pair of dice? Give your answer as a fraction.

Suppose that you have 666 quarters, 666 dimes, 888 nickels, and 555 pennies in your pocket. You reach in and choose a coin at random. What is the expectation?

What is the probability of a family with 6 children having 3 boys and 3 girls?

Find the probability of the event with odds against it 2 to 1.

Find the probability of the event with odds in favor of 100 to 1. P(E)=??P ( E ) = \frac { ? } { ? }P(E)=??​

In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of a total of three on the first roll?

A magazine subscription service is having a contest in which the prize is $80,000. If the company receives one million entries, what is the expectation of the contest?

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

Find the odds in favor of an event with the following probability: $P( E ) = \frac { 1 } { 2 }$

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

Find the probability of the event with odds in favor of 3 to 4. $P ( E ) = \frac { ? } { ? }$

Find $P( \bar { B } )$ if $P ( B ) = 0.4$ $P ( \bar { B } )$ = __________

Suppose that you have $6$ quarters, $6$ dimes, $8$ nickels, and $5$ pennies in your pocket. You reach in and choose a coin at random. What is the expectation?

Find the probability of the event with odds in favor of 100 to 1. $P ( E ) = \frac { ? } { ? }$