Question 1

Solve the problem. Round your answer to 2 decimal places when necessary.
-In a recent year, there were 636 deaths in general aviation over 8.6 billion miles flown. Find the fatality rate in units of deaths per 1 billion miles flown.

Accepted Answer

A) 0.01 deaths per billion miles flown 
B) 73.95 deaths per billion miles flown 
C) 546.96 deaths per billion miles flown 
D) 7.4 deaths per billion miles flown

Question 2

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-If a person is randomly selected, find the probability that his or her birthday is not on New Year's Day. Ignore leap years.

Accepted Answer

A)  $\frac { 364 } { 365 }$ 
B)  $\frac { 11 } { 12 }$ 
C)  $\frac { 1 } { 365 }$ 
D)  $\frac { 30 } { 31 }$

Question 3

Write the word or phrase that best completes each statement or answers the question.
-Suppose that the probability of winning at a single game of blackjack is 0.49. If you play
ten times in a row, what is the probability you will win all 10 times? Would you be
surprised? If 1000 people each play blackjack ten times in one evening, what is the
probability that at least one person wins all ten times? Would you be surprised?

Accepted Answer

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

Question 4

Find the indicated probability.
-A die is rolled 50 times with the following results. $$\begin{array} { l | r r r r r r } 
\text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Frequency } & 7 & 4 & 13 & 23 & 0 & 3
\end{array}$$ Compute the empirical probability that the die comes up a 5.

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  0 
C)  $\frac { 3 } { 100 }$ 
D)  $\frac { 1 } { 3 }$

Question 5

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-If two fair dice are rolled, what is the probability of not rolling a sum of 12?

Accepted Answer

A)  $\frac { 35 } { 36 }$ 
B)  $\frac { 1 } { 36 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 5 } { 6 }$

Question 6

Decide whether events A and B are overlapping or non-overlapping.
-You roll a red die and a blue die. Event A is that you get a sum of 10.
Event B is that you get a six on the red die.

Accepted Answer

A) Overlapping 
B) Non-overlapping

Question 7

Determine whether the events A and B are independent.
-12 jurors are selected from a pool of 20 
Event A: The first person selected has a birthday in May
Event B: The second person selected has a birthday in May

Accepted Answer

A) True 
 B)False

Question 8

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

Question 9

Solve the problem.
-Find the odds for getting two heads when two fair coins are flipped.

Accepted Answer

A) 4 to 1 
B) 1 to 4 
C) 1 to 3 
D) 3 to 1

Question 10

Solve the problem.
-A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different license plates possible if the first letter must be an N , M , or P and repetition of letters and
Numbers is not permitted.

Accepted Answer

A) 9,072,000 
B) 54,432,000 
C) 272,160,000 
D) 54,522,000

Question 11

Provide an appropriate response.
-Which of the following could not possibly be probabilities? A. $- 0.44$
B. $\frac { 13 } { 7 }$
C. 0
D. $0.43$

Accepted Answer

A)  $A$ and D 
B)  $A$ and $C$ 
C)  $A , B$, and $C$ 
D)  $A$ and $B$ 
E)  $B$ and $C$

Question 12

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. $$\begin{array} { l | r } 
{ \text { Cause of Death } } & \text { Deaths } \
\hline \text { Heart Disease } & 154,800 \
\text { Cancer } & 109,650 \
\text { AIDS } & 57,405 \
\text { Stroke } & 36,120 \
\text { Pulmonary Disease } & 36,249 \
\text { Accidents } & 28,380 \
\text { Diabetes } & 15,609 \
\text { Pneumonia } & 14,448 \
\text { Kidney Disease } & 7611
\end{array}$$ Assume a population of 64.5 million. What is the empirical probability of death by AIDS during a single year?

Accepted Answer

A) 0.0089 
B) 0.000089 
C) 0.57 
D) 0.00089

Question 13

Solve the problem.
-How many different 4-letter sequences can be made using the first 11 letters of the alphabet? Assume that repetition of letters is allowed.

Accepted Answer

A) 24 
B) 330 
C) 7920 
D) 14,641

Question 14

Use the at least once rule to find the indicated probability.
-Find the probability of at least one 3 in 10 rolls of a fair die.

Accepted Answer

A) 0.999 
B) 0.162 
C) 0.032 
D) 0.838

Question 15

Solve the problem.
-Find the odds for getting a sum of 11 when two fair dice are rolled.

Accepted Answer

A) 17 to 1 
B) 1 to 18 
C) 1 to 17 
D) 18 to 1

Question 16

Use the relative frequency method to estimate the probability. Round your answer to 2 decimal places when necessary.
-Of the last 100 people who failed the lie detector test, 23 turned out to be telling the truth. What is the probability that the next person who fails the test is actually telling the truth?

Accepted Answer

A) 0.23 
B) 0 
C) 0.5 
D) 0.77

Question 17

Solve the problem.
-A tourist in France wants to visit 6 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

Accepted Answer

A)  720 
B)  $\frac { 1 } { 720 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 36 }$

Question 18

Solve the problem.
-A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?

Accepted Answer

A) 126 
B) 45 
C) 59,049 
D) 15,120

Question 19

Find the indicated probability. Round your answer to 6 decimal places when necessary.
-A bag contains 7 red marbles, 4 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

Accepted Answer

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

Question 20

Use the at least once rule to find the indicated probability.
-Find the probability of at least one queen when you draw cards from a standard deck 11 times; assume you replace the card each time you draw , so there are always 52 cards to draw from.

Accepted Answer

A) 0.035 
B) 0.415 
C) 0.585 
D) 0.958

Exam 7: Probability: Living With the Odds

Solve the problem. Round your answer to 2 decimal places when necessary. -In a recent year, there were 636 deaths in general aviation over 8.6 billion miles flown. Find the fatality rate in units of deaths per 1 billion miles flown.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -If a person is randomly selected, find the probability that his or her birthday is not on New Year's Day. Ignore leap years.

Find the indicated probability. -A die is rolled 50 times with the following results. $\begin{array} { l | r r r r r r } \text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Frequency } & 7 & 4 & 13 & 23 & 0 & 3\end{array}$ Compute the empirical probability that the die comes up a 5.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -If two fair dice are rolled, what is the probability of not rolling a sum of 12?

Decide whether events A and B are overlapping or non-overlapping. -You roll a red die and a blue die. Event A is that you get a sum of 10. Event B is that you get a six on the red die.

Determine whether the events A and B are independent. -12 jurors are selected from a pool of 20 Event A: The first person selected has a birthday in May Event B: The second person selected has a birthday in May

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?

Solve the problem. -Find the odds for getting two heads when two fair coins are flipped.

Solve the problem. -A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different license plates possible if the first letter must be an N , M , or P and repetition of letters and Numbers is not permitted.

Provide an appropriate response. -Which of the following could not possibly be probabilities? A. $- 0.44$ B. $\frac { 13 } { 7 }$ C. 0 D. $0.43$

Solve the problem. -How many different 4-letter sequences can be made using the first 11 letters of the alphabet? Assume that repetition of letters is allowed.

Use the at least once rule to find the indicated probability. -Find the probability of at least one 3 in 10 rolls of a fair die.

Solve the problem. -Find the odds for getting a sum of 11 when two fair dice are rolled.

Solve the problem. -A tourist in France wants to visit 6 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

Solve the problem. -A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -A bag contains 7 red marbles, 4 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

Use the at least once rule to find the indicated probability. -Find the probability of at least one queen when you draw cards from a standard deck 11 times; assume you replace the card each time you draw , so there are always 52 cards to draw from.