STUDY.COM BUS 212-CHAPTER 7

A horse race includes 10 participants. How many possible finishes are there for the top three positions: first (win), second (place), and third (show)?

720

Melissa collects data on her college graduating class. She finds out that of her classmates, 60% are brunettes, 20% have blue eyes, and 5% are brunettes that have blue eyes. What is the probability that one of Melissa's classmates will be a brunette or have blue eyes?

75%

The probability of an event happening is:

Between 0 and 1

Sheri rolls a die eight times. She rolls a one three times, a two one time, a four one time, and a five three times. What is the relative frequency in this data set of rolling a four?

1 in 8, or 13%

Gary has a deck of 52 cards. He wants to know the probability of drawing the jack of spades and then drawing the two of hearts from the deck without replacing either card. What's the probability of this event? (A standard deck of 52 cards has 4 suits (hearts, clubs, spades, diamonds), each with 13 cards. Each suit has an ace, cards numbered 2 through 10, and a jack, a queen, and a king.)

1/2652

8 different novels are to be placed side-by-side on a shelf. How many ways can the 8 novels be arranged on the shelf?

40,320

Steve has a regular deck of 52 playing cards. He wants to know the probability of pulling two clubs from the deck in a row without replacing the first club. What is the probability of this event? (A standard deck of 52 cards has 4 suits (hearts, clubs, spades, diamonds), each with 13 cards. Each suit has an ace, cards numbered 2 through 10, and a jack, a queen, and a king.)

1/17

Jessie has a deck of 52 regular playing cards and a bag of six marbles. In the bag, there are two blue marbles, three green marbles, and one white marble. What is the probability of Jessie drawing an ace from the deck of cards and a blue marble from the bag? (A standard deck of 52 cards has 4 suits (hearts, clubs, spades, diamonds), each with 13 cards. Each suit has an ace, cards numbered 2 through 10, and a jack, a queen, and a king.)

1/39

A man is deciding what to wear to work. He is considering an outfit from among 5 shirts, 3 pairs of pants, and 7 ties. How many possible outfits are there?

105

A sandwich shop offers 3 types of meat, 3 types of cheeses, 3 types of bread, and 4 types of condiments for its sandwiches. If you select one of each of the four ingredients, how many possible sandwiches can you create?

108

Mrs. Allison is preparing a cookies and milk party for her third grade class. There are 12 students that drink only whole milk, 8 students that drink only almond milk, 7 students that drink only skim milk, and 3 students that drink only soy milk. What is the probability that a student from Mrs. Allison's class drinks only almond or soy milk?

11/30

A vehicle license plate uses three numbers and three letters on each plate. The numbers are listed first and then the letters. The numbers used range from 0-9 and the letters used can be any letter of the 26 letters of the alphabet. On any given license plate, the letters can be repeated, but the numbers cannot be repeated. How many different plates are possible?

12,654,720

Lisa has a two-sided coin with heads and tails. She also has a spinner with four colors: green, blue, red, and yellow. What is the probability of Lisa flipping the coin and getting heads and spinning the spinner to land on green?

12.5%

Karen takes her group of third grade students out for ice cream. There is a total of 30 students. 13 of the students like chocolate ice cream, 12 of the students like strawberry ice cream, and 5 students like vanilla ice cream. When asked which two ice creams are their favorite, 8 students said they like both chocolate and strawberry ice cream. Out of the 30 students, what is the probability of a student liking ONLY chocolate or strawberry?

17/30

Grace, Avery, and Noah are creating a maze for their pet gerbil, Sam. Grace bets that Sam will turn left when first entering the maze. Avery bets that Sam will turn right, and Noah bets that Sam will go straight. If there's an equal chance of Sam taking one of the given paths, then what is the probability that Grace or Noah will be correct?

2/3

There are 24 marbles in a bag. Eight of those marbles are blue, seven of the marbles are red, five of the marbles are green, and four of the marbles are white. What is the probability of pulling a white marble from the bag?

4 in 24, or 1 in 6

It's the first day of school and Anne is comparing her class schedule with her friends. Thirty percent of Anne's friends are in both geometry and world history with her. She has 60% of her friends in her geometry class, and she has 40% of her friends in her world history class. What is the probability that one of her friends is in either geometry or world history with Anne?

70%

If you use statistics about batter strikeouts vs right or left-handed pitchers to select your pitcher for a baseball game, it is an example of what type of data analysis?

Looking at existing factual data to make a decision

Does the following contingency table show a relationship between height and handedness?

No

Which of the following mathematical areas has the least practical use in everyday life?

Parabolas

What do you call the likelihood of a certain event occurring out of a total possible number of events?

Probability

Which of the following is BEST at helping to predict future events?

Probability

Beatrice spins a spinner four times. Out of the four times, she lands on orange once. She tells Edward that she landed on orange 25% of the time. What is this an example of?

Relative Frequency

What do we call the ratio of the occurrence of a singular event and the total number of outcomes?

Relative frequency

The data in a contingency table _____ that the data is either dependent or independent.

Suggests

Which of these statistical issues does Bayes' Theorem help address?

False positives

Why can the probability of B never equal zero?

You can't divide by zero.

A

{printer, pencil}

What are other ways to express a 50-50 probability?

All of the answers are correct.

When applying to colleges, what are some other statistics you can look at, besides acceptance rates?

All of the answers are correct.

What kind of events can Bayes' Theorem test for probability?

Dependent events

Which of the following BEST describes subjective probability?

It is a prediction, based on intuition or belief, that an event will happen.

What happens if the probability of A happening is zero?

The probability of the whole system is zero.

Does this contingency table show a relationship between the types of dining and size of the individual (petite, average, or overweight)?

Yes

Which of the following is true about subjective probability?

All of the answers are correct.

What is the probability that it will rain tomorrow?

All of the answers could be correct.

If a contingency table shows a relationship between sets of data, the data is said to be:

Contingent

Kasey (a girl) and Michael (a boy) are auditioning for a reality TV show about singing. The show's producers want to choose one boy and one girl. Including Kasey and Michael, there are 4 girls and 2 boys auditioning. Is the event of Kasey being selected independent from the event of Michael being selected, or are the events dependent? Also, what is the probability that the producers will select Kasey and Michael for the show?

Independent; 13%

Which of these is an example of a calculation that Bayes' Theorem would be useful to find?

The likelihood of making a football team and then becoming a starter

What do college acceptance rates measure?

The number of people admitted out of the total number of all applications