Question 1

Solve the problem. Round your answer to 5 decimal places when necessary.
-The table shows the leading causes of death for one country in a single recent year. $\begin{array}{l|r}
{\text { Cause of Death }} & \text { Deaths } \
\hline \text { Heart Disease } & 152,250 \
\text { Cancer } & 116,000 \
\text { AIDS } & 71,775 \
\text { Stroke } & 42,050 \
\text { Pulmonary Disease } & 40,745 \
\text { Accidents } & 30,450 \
\text { Diabetes } & 17,545 \
\text { Pneumonia } & 16,240 \
\text { Kidney Disease } & 8555
\end{array}$ Assume a population of 72.5 million. What is the empirical probability of death by stroke during a single year?

Accepted Answer

A) 0.0058 
B) 0.058 
C) 0.00058 
D) 0.000058

Question 2

Evaluate the factorial expression.
-$9 !$

Accepted Answer

A)  181,440 
B)  40,320 
C)  725,760 
D)  362,880

Question 3

Find the indicated probability.
-The following table displays a distribution for a group of retired people by career and age at retirement.  Suppose one of these people is selected at random. Compute the probability that the person
Selected was an attorney and that they retired between 61 and 65. Round your answer to the nearest
Thousandth.

Accepted Answer

A) 0.122 
B) 0.275 
C) 0.229 
D) 0.445

Question 4

Decide whether events A and B are overlapping or non-overlapping.
-A card is drawn at random from a deck of cards. Event A is that the card selected is a queen and event B is that the card selected is a two.

Accepted Answer

A) Non-overlapping 
B) Overlapping

Question 5

Solve the problem.
-Find the odds against correctly guessing the answer to a multiple choice question with 7 possible answers.

Accepted Answer

A) 7 : 1 
B) 6 : 7 
C) 6 : 1 
D) 7 : 6

Question 6

Use the at least once rule to find the indicated probability.
-A study conducted at a certain college shows that 64% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected
Graduates, at least one finds a job in his or her chosen field within a year of graduating.

Accepted Answer

A) 0.893 
B) 0.200 
C) 0.640 
D) 0.994

Question 7

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Accepted Answer

A)  $\frac { 2 } { 13 }$ 
B)  $\frac { 13 } { 102 }$ 
C)  $\frac { 4 } { 663 }$ 
D)  $\frac { 1 } { 663 }$

Question 8

Solve the problem.
-Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall play. What is the probability that no boys will be chosen? Order is not
Important.

Accepted Answer

A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 5 } { 6 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 6 } { 11 }$

Question 9

Find the indicated probability.
-The following table displays a distribution for a group of retired people by career and age at retirement.  Suppose one of these people is selected at random. Compute the probability that the person
Selected was a store clerk. Round your answer to the nearest thousandth.

Accepted Answer

A) 0.099 
B) 0.300 
C) 0.025 
D) 0.253

Question 10

Solve the problem.
-How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetition of digits is allowed?

Accepted Answer

A) 27 
B) 999 
C) 6 
D) 1000

Question 11

Solve the problem.
-How many 5-letter passwords can be formed from the letters P, A, Y, M, E, N, T if no repetition of letters is allowed?

Accepted Answer

A) 42 
B) 2520 
C) 1260 
D) 35

Question 12

Sean flipped a coin 100 times and got heads 42 times. He concludes that the probability of getting heads on a flip of his coin is 0.42. Which method did Sean use?

Accepted Answer

A) Theoretical method 
B) Empirical method 
C) Multiplication method 
D) Subjective method

Question 13

Write the word or phrase that best completes each statement or answers the question.
-Explain what is wrong with the statement below.
It's quite a coincidence - the chance that I would have the birthday I do have is only 1/365.

Accepted Answer

The answer of Write the word or phrase that best...

Question 14

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that both marbles are white.

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 3 } { 32 }$ 
D)  $\frac { 9 } { 56 }$

Question 15

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-Among the contestants in a competition are 38 women and 22 men. If 5 winners are randomly selected, what is the probability that they are all men?

Accepted Answer

A) 0.00482 
B) 0.1019 
C) 0.06504 
D) 0.05246

Question 16

Find the expected value.
-An insurance company will insure a $220,000 home for its total value for an annual premium of $590. If the company spends $30 per year to service such a policy, the probability of total loss for
Such a home in a given year is 0.001 and you assume either total loss or no loss will occur, what is
The company's expected annual gain (or profit)on each such policy?

Accepted Answer

A) -$220 
B) $290 
C) $340 
D) $370

Question 17

Provide an appropriate response.
-Which of the following are examples of independent events?

Accepted Answer

A) Two people in the same family falling ill in the same week 
B) Two laughs by different people watching the same movie in a theater 
C) Two consecutive wins by a football team 
D) Two archeological discoveries at different locations, at the same time

Question 18

Decide whether events A and B are overlapping or non-overlapping.
-Event A is that I get an A on my spanish test tomorrow. Event B is that I get a B on my spanish test tomorrow.

Accepted Answer

A) Overlapping 
B) Non-overlapping

Question 19

Solve the problem.
-In Morse code, each symbol is either a dot or a dash. How many sequences of 6 symbols are possible?

Accepted Answer

A) 720 
B) 64 
C) 12 
D) 36

Question 20

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-In one town, 63% of adults have health insurance. What is the probability that 9 adults selected at random from the town all have health insurance?

Accepted Answer

A) 0.015634 
B) 0.63 
C) 5.67 
D) 0.142857

Exam 7: Probability: Living With the Odds

Evaluate the factorial expression. - $9 !$

Decide whether events A and B are overlapping or non-overlapping. -A card is drawn at random from a deck of cards. Event A is that the card selected is a queen and event B is that the card selected is a two.

Solve the problem. -Find the odds against correctly guessing the answer to a multiple choice question with 7 possible answers.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Solve the problem. -Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall play. What is the probability that no boys will be chosen? Order is not Important.

Solve the problem. -How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetition of digits is allowed?

Solve the problem. -How many 5-letter passwords can be formed from the letters P, A, Y, M, E, N, T if no repetition of letters is allowed?

Sean flipped a coin 100 times and got heads 42 times. He concludes that the probability of getting heads on a flip of his coin is 0.42. Which method did Sean use?

Write the word or phrase that best completes each statement or answers the question. -Explain what is wrong with the statement below. It's quite a coincidence - the chance that I would have the birthday I do have is only 1/365.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that both marbles are white.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -Among the contestants in a competition are 38 women and 22 men. If 5 winners are randomly selected, what is the probability that they are all men?

Provide an appropriate response. -Which of the following are examples of independent events?

Decide whether events A and B are overlapping or non-overlapping. -Event A is that I get an A on my spanish test tomorrow. Event B is that I get a B on my spanish test tomorrow.

Solve the problem. -In Morse code, each symbol is either a dot or a dash. How many sequences of 6 symbols are possible?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -In one town, 63% of adults have health insurance. What is the probability that 9 adults selected at random from the town all have health insurance?

Exam 7: Probability: Living With the Odds

Evaluate the factorial expression. - 9!9 !9!

Decide whether events A and B are overlapping or non-overlapping. -A card is drawn at random from a deck of cards. Event A is that the card selected is a queen and event B is that the card selected is a two.

Solve the problem. -Find the odds against correctly guessing the answer to a multiple choice question with 7 possible answers.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Solve the problem. -Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall play. What is the probability that no boys will be chosen? Order is not Important.

Solve the problem. -How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetition of digits is allowed?

Solve the problem. -How many 5-letter passwords can be formed from the letters P, A, Y, M, E, N, T if no repetition of letters is allowed?

Sean flipped a coin 100 times and got heads 42 times. He concludes that the probability of getting heads on a flip of his coin is 0.42. Which method did Sean use?

Write the word or phrase that best completes each statement or answers the question. -Explain what is wrong with the statement below. It's quite a coincidence - the chance that I would have the birthday I do have is only 1/365.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that both marbles are white.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -Among the contestants in a competition are 38 women and 22 men. If 5 winners are randomly selected, what is the probability that they are all men?

Provide an appropriate response. -Which of the following are examples of independent events?

Decide whether events A and B are overlapping or non-overlapping. -Event A is that I get an A on my spanish test tomorrow. Event B is that I get a B on my spanish test tomorrow.

Solve the problem. -In Morse code, each symbol is either a dot or a dash. How many sequences of 6 symbols are possible?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -In one town, 63% of adults have health insurance. What is the probability that 9 adults selected at random from the town all have health insurance?

Evaluate the factorial expression. - $9 !$