A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a three-topping pizza are pepperoni, onions, and mushrooms?
> A jury consists of five men and seven women. Three jury members are selected at random for an interview. Find the probability that all three are men.
> Find the probability of being dealt 5 diamonds from a standard deck of playing cards that also includes two jokers. In this case, the joker is considered to be a wild card that can be used to represent any card in the deck.
> A student advisory board consists of 20 members. Two members will be chosen to serve as the board’s chair and secretary. Each member is equally likely to serve in either of the positions. What is the probability of randomly selecting the two members who
> The manager of an accounting department wants to form a three-person advisory committee from the 20 employees in the department. In how many ways can the manager form this committee?
> The contractor wants to plant six oak trees, nine maple trees, and five poplar trees along the subdivision street. The trees are to be spaced evenly. In how many distinguishable ways can they be planted?
> The board of directors of a company has 12 members. One member is the president, another is the vice president, another is the secretary, and another is the treasurer. How many ways can these positions be assigned?
> Organize the data using the indicated type of graph. Describe any patterns. Use a dot plot to display the data, which represent the life spans (in days) of 30 houseflies. 9 9 4 11 10 5 13 9 7 11 6 8 14 10 6 8 6 13 10 14 14 10 10 7 14 11 7 8 13 10
> The Big 12 is a collegiate athletic conference with 10 schools: Baylor, Iowa State, Kansas, Kansas State, Oklahoma, Oklahoma State, TCU, Texas, Texas Tech, and West Virginia. How many different final standings are possible for the Big 12’s football teams
> Can any of the events in Exercises 49–52 be considered unusual? Explain.
> Use the bar graph at the left, which shows the highest level of education received by employees of a company. Find the probability that the highest level of education for an employee chosen at random is a high school diploma. Level of Education 34 2
> Use the bar graph at the left, which shows the highest level of education received by employees of a company. Find the probability that the highest level of education for an employee chosen at random is a master’s degree. Level of
> Use the bar graph at the left, which shows the highest level of education received by employees of a company. Find the probability that the highest level of education for an employee chosen at random is an associate’s degree. Level
> Use the bar graph at the left, which shows the highest level of education received by employees of a company. Find the probability that the highest level of education for an employee chosen at random is a doctorate. Level of Education 34 25 23 Highe
> What is the probability that a registered voter in Texas chosen at random did not vote in the 2016 presidential election? All Registered Voters in Texas About About 9.0 million 6.1 million did voted in the 2016) not vote in the presidential /2016 pro
> What is the probability that a voter from Virginia chosen at random voted Republican in the 2016 presidential election? 2016 Presidential Election Voters from Virginia About About 2.2 million 1.8 million voted voted for Republican another party
> You are planning a three-day trip to Seattle, Washington, in October. Use the fact that on each day, it could either be sunny or rainy. What is the probability that it rains on at least one day?
> You are planning a three-day trip to Seattle, Washington, in October. Use the fact that on each day, it could either be sunny or rainy. What is the probability that it rains on exactly one day?
> Organize the data using the indicated type of graph. Describe any patterns. Use a dot plot to display the data, which represent the systolic blood pressures (in millimeters of mercury) of 24 patients at a doctor’s office.
> You are planning a three-day trip to Seattle, Washington, in October. Use the fact that on each day, it could either be sunny or rainy. What is the probability that it rains all three days?
> You are planning a three-day trip to Seattle, Washington, in October. Use the fact that on each day, it could either be sunny or rainy. What is the probability that it is sunny all three days?
> An access code consists of six characters. For each character, any letter or number can be used, with the exceptions that the first character cannot be 0 and the last two characters must be odd numbers. a. What is the probability of randomly selecting t
> An access code consists of three digits. Each digit can be any number from 0 through 9, and each digit can be repeated. a. What is the probability of randomly selecting the correct access code on the first try? b. What is the probability of not selecti
> A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the left. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the event. Then explain whether the event can be c
> A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the left. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the event. Then explain whether the event can be c
> A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the left. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the event. Then explain whether the event can be c
> A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the left. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the event. Then explain whether the event can be c
> You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the probability of being dealt three of a kind (the other two cards are different from each other).
> You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the probability of being dealt a full house (three of one kind and two of another kind).
> Organize the data using the indicated type of graph. Describe any patterns. Use a stem-and-leaf plot that has two rows for each stem to display the data, which represent the numbers of electoral votes for each of the 50 states. 3 11 6 55 4 20 11 3 29
> You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the probability of being dealt four of a kind.
> You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the probability of being dealt two clubs and one of each of the other three suits.
> In Exercise 57, what is the probability that the four sales representatives chosen to participate in the training program will be from only three of the four regions?
> Four sales representatives for a company are to be chosen at random to participate in a training program. The company has eight sales representatives, two in each of four regions. What is the probability that the four sales representatives chosen to part
> A pack of 100 recordable DVDs contains 5 defective disks. You select four disks. What is the probability of selecting at least three nondefective disks?
> A shipment of 10 microwave ovens contains 2 defective units. A restaurant buys three units. What is the probability of the restaurant buying at least two nondefective units?
> A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing two second-shift workers and two t
> A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing four third-shift workers.
> A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing three second-shift workers.
> A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing five first-shift workers.
> Organize the data using the indicated type of graph. Describe any patterns. Use a stem-and-leaf plot that has two rows for each stem to display the data, which represent the incomes (in millions) of the top 30 highest-paid athletes. 37 36 44 50 35 56
> Why should the number of classes in a frequency distribution be between 5 and 20?
> A company that has 200 employees chooses a committee of 5 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected. a. Use technology to find the number of ways 5 employees can be chosen from
> In a state lottery, you must correctly select 5 numbers (in any order) out of 40 to win the top prize. You purchase one lottery ticket. What is the probability that you will win the top prize?
> Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have food allergies or intolerances. You choose 4 adults at random. What is the probability that none of the four say
> Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have food allergies or intolerances. You choose 6 adults at random. What is the probability that none of the six say s
> Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have food allergies or intolerances. You choose 3 adults at random. What is the probability that all three say none of
> Use the pie chart, which shows the results of a survey of 1500 U.S. adults who were asked how many of their closest family and friends have food allergies or intolerances. You choose 2 adults at random. What is the probability that both say most of thei
> The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 14 candidates. Six of the candidates are members of the debate team. a. What is the probability that all of the offices are filled
> You look over the songs on a jukebox and determine that you like 15 of the 56 songs. a. What is the probability that you like the next three songs that are played? (Assume a song cannot be repeated.) b. What is the probability that you do not like the
> A horse race has 12 entries. Assuming that there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?
> Organize the data using the indicated type of graph. Describe any patterns. Use a stem-and-leaf plot to display the data shown in the table at the left, which represent the monthly average prices (in dollars per pound) charged by 30 retail outlets for fr
> The University of California Health Services committee has five members. Two members are chosen to serve as the committee chair and vice chair. Each committee member is equally likely to serve in either of these positions. What is the probability of rand
> The U.S. Senate Committee on Homeland Security and Governmental Affairs has 15 members. Two members are chosen to serve as the committee chair and the ranking member. Each committee member is equally likely to serve in either of these positions. What is
> A property inspector is visiting 24 properties. Six of the properties are one acre or less in size, and the rest are greater than one acre in size. Eight properties are randomly selected. Using technology, how many ways could three properties that are ea
> An environmental agency is analyzing water samples from 80 lakes for pollution. Five of the lakes have dangerously high levels of dioxin. Six lakes are randomly selected from the sample. Using technology, how many ways could one polluted lake and five no
> A floral arrangement consists of 6 different colored roses, 3 different colored carnations, and 3 different colored daisies. You can choose from 8 different colors of roses, 6 different colors of carnations, and 7 different colors of daisies. How many di
> A restaurant offers a dinner special that lets you choose from 10 entrées, 8 side dishes, and 13 desserts. You can choose one entrée, one side dish, and two desserts. How many different meals are possible?
> A lottery has 52 numbers. In how many different ways can 6 of the numbers be selected? (Assume that order of selection is not important.)
> A class has 40 students. In how many different ways can three students form a group to work on a class project? (Assume the order of the students is not important.)
> From a group of 36 people, a jury of 12 people is selected. In how many different ways can a jury of 12 people be selected?
> In order to conduct an experiment, 4 subjects are randomly selected from a group of 20 subjects. How many different groups of four subjects are possible?
> What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage?
> A byte is a sequence of eight bits. A bit can be a 0 or a 1. In how many distinguishable ways can you have a byte with five 0’s and three 1’s?
> In how many distinguishable ways can the letters in the word statistics be written?
> You are putting 9 pieces of blue beach glass, 3 pieces of red beach glass, and 7 pieces of green beach glass on a necklace. In how many distinguishable ways can the beach glass be put on the necklace?
> At a blood drive, 8 donors with type O+ blood, 6 donors with type A+ blood, and 3 donors with type B+ blood are in line. In how many distinguishable ways can the donors be in line?
> An archaeology club has 38 members. How many different ways can the club select a president, vice president, treasurer, and secretary?
> A DJ is preparing a playlist of 24 songs. How many different ways can the DJ choose the first six songs?
> There are 16 finalists in a singing competition. The top five singers receive prizes. How many ways can the singers finish first through fifth?
> There are 50 runners in a race. How many ways can the runners finish first, second, and third?
> The starting lineup for a softball team consists of 10 players. How many different batting orders are possible using the starting lineup?
> In how many ways can the letters A, B, C, D, E, and F be arranged for a six-letter security code?
> Organize the data using the indicated type of graph. Describe any patterns. Use a stem-and-leaf plot to display the data, which represent the thicknesses (in centimeters) of ice measured at 20Â different locations on a frozen lake. 5.8 6.4
> Eight people compete in a downhill ski race. Assuming that there are no ties, in how many different orders can the skiers finish?
> You have seven different video games. How many different ways can you arrange the games side by side on a shelf?
> Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of four-letter passwords that can be created when no letter can be repeated
> Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways 2 captains can be chosen from 28 players on a lacrosse team
> Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways a four-member committee can be chosen from 10 people
> Determine whether the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways 16 floats can line up in a row for a parade
> Perform the indicated calculation. 7P3/12P4
> Perform the indicated calculation. 3P2/13P1
> Perform the indicated calculation. 10C7/14C7
> Perform the indicated calculation. 8C4/12C6
> Organize the data using the indicated type of graph. Describe any patterns. Use a stem-and-leaf plot to display the data, which represent the numbers of hours 24 nurses work per week. 30 24 40 36 40 36 40 39
> Perform the indicated calculation. 21C8
> Perform the indicated calculation. 8C3
> Perform the indicated calculation. 14P3
> Perform the indicated calculation. 9P5
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. 7C5 = 7C2
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When you divide the number of permutations of 11 objects taken 3 at a time by 3!, you will get the number of combinations of 11 objects taken 3 at a time.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. The number of different ordered arrangements of n distinct objects is n!.
> Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A combination is an ordered arrangement of objects.
> When you calculate the number of combinations of r objects taken from a group of n objects, what are you counting? Give an example.
> When you calculate the number of permutations of n distinct objects taken r at a time, what are you counting? Give an example.
> Organize the data using the indicated type of graph. Describe any patterns. Use a stem-and-leaf plot to display the data, which represent the scores of a biology class on a midterm exam. 75 85 90 80 87 67 82 88 95 91 73 80 83 92 94 68 75 91 79 95 87
> Determine whether the events are mutually exclusive. Explain your reasoning. Event A: Randomly select a male psychology major. Event B: Randomly select a psychology major who is 20 years old.
> Determine whether the events shown in the Venn diagram are mutually exclusive. Explain your reasoning. Sample Space: Movies Movies that are Movies rated R that are rated PG-13
> Determine whether the events shown in the Venn diagram are mutually exclusive. Explain your reasoning. Sample Space: Presidential Candidates Presidential candidates Presidential candidates the popular who won the who lost vote election
> The age distribution of the residents of Kadoka, South Dakota, is shown at the left. Find the probability of the event. Event D: randomly choosing a resident who is not 75 years old or older Ages Frequency, f 0-14 173 15-29 123 30-44 92 45-59 137 60
> The age distribution of the residents of Kadoka, South Dakota, is shown at the left. Find the probability of the event. Event C: randomly choosing a resident who is not 14 years old or younger Ages Frequency, f 0-14 173 15-29 123 30-44 92 45-59 137
