Question 1

A die has six faces, showing 1 to 6 pips (spots) . If a die is balanced, all six faces are equally likely. What must be the probability of each face?

Accepted Answer

A)   1/10
B)   1/6
C)   1/36
D)   Could be any number between 0 and 1.E) A) and D)
F) None of the above B

Question 2

In many popular board games, a player rolls two dice and moves the number of spaces equal to the sum shown on the dice. Here is the assignment of probabilities to the sum of the numbers on the up faces when two fair dice are rolled:  Suppose Scott rolls a sum of 9 on his first roll. What is the probability that Jennifer will have the same sum on her first roll?

Accepted Answer

A)   0
B)   4/6
C)   4/36
D)   9/36
E)   30/36F) A) and D)
G) B) and C) C

Question 3

A game involving a pair of dice pays you $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36. What is your approximate probability of losing money in one play of the game?

Accepted Answer

A)   0
B)   0.167
C)   0.444
D)   0.500
E)   0.556F) None of the above
G) A) and E)

Question 4

A friend rolls a cheap 6-sided die many times. He reports that the probabilities of the possible outcomes are about as follows:

Is this a legitimate assignment of probabilities?

Accepted Answer

A)   Yes.
B)   No, the faces must all have the same probability.
C)   No, the 3 and 4 faces are opposite each other, so they must have the same probability.
D)   No, the total probability for all faces is wrong.
E)   No, not all the values given are possible values for a probability.F) None of the above
G) A) and D)

Question 5

The probability that the sum is 7 when you roll two dice is 1/6; the probability that the sum is 11 is 1/18. Suppose you play a game where you win if the sum is 7 or 11. What is the probability that you win?

Accepted Answer

A)   2/6
B)   2/18
C)   7/6
D)   2/9
E)   2/24F) All of the above
G) D) and E)

Question 6

The _______________ of a statistic indicates what values the statistic takes in repeated samples from the same population and how often it takes those values.

Accepted Answer

A)   formula
B)   parameter
C)   line graph
D)   sampling distribution
E)   standard deviationF) A) and B)
G) B) and D)

Question 7

If we roll a pair of fair dice and count the number of aces (one dot)  showing, the probability model is as follows:

Back in the 17th century, some gamblers thought that the probability of at least one ace (i.e., one or more aces)  when rolling two dice was 1/6 + 1/6. Is that true?

Accepted Answer

A)   Yes.
B)   No, it's larger than 1/6 + 1/6.
C)   No, it's smaller than 1/6 + 1/6.
D)   Sometimes it's larger and sometimes it's smaller.
E)   Impossible to say.F) D) and E)
G) B) and E)

Question 8

An experiment has four possible outcomes: A, B, C, and D. Which of the following is a legitimate assignment of probabilities for these four events?

Accepted Answer

A)   0.3, 0.3, 0.3, 0.3
B)   0.2, 0.4, 0.1, 0.3
C)   0.6, 0.2, 0.3, -0.1
D)   0.2, 0.2, 0.4, 0.4E) All of the above
F) A) and D)

Question 9

A household is a group of people living together at the same address. According to the 2015 Current Population Survey's Annual Social and Economic (CPS ASEC)  Supplement, if an American household were chosen at random and asked how many people lived there, here are the probabilities:

What is the probability that a randomly chosen household contains 8 people?

Accepted Answer

A)   0
B)   0.01
C)   0.001
D)   0.99
E)   It is not possible to tell from the information given.F) A) and E)
G) A) and D)

Question 10

A _______________ for a random phenomenon describes all the possible outcomes and indicates how to assign probabilities to any collection of outcomes.

Accepted Answer

A)   standard deviation
B)   median
C)   probability model
D)   boxplot
E)   scatterplotF) C) and D)
G) None of the above

Question 11

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when a box is scratched. Printed on the ticket are the following probabilities for a customer who shops once a week:

What is the probability of winning nothing?

Accepted Answer

A)   0.31
B)   0.50
C)   0.69
D)   0.80
E)   0F) D) and E)
G) A) and B)

Question 12

A household is a group of people living together at the same address. According to the 2015 Current Population Survey's Annual Social and Economic (CPS ASEC)  Supplement, if an American household were chosen at random and asked how many people lived there, here are the probabilities:

What is the probability that a randomly chosen household contains four or more people?

Accepted Answer

A)   0.09
B)   0.14
C)   0.23
D)   0.91
E)   It is not possible to tell from the information given.F) B) and E)
G) A) and D)

Question 13

A multiple-choice exam offers five choices for each question. Jason just guesses the answers, so he has probability 1/5 of getting any one answer right. One of your math major friends tells you that the assignment of probabilities to the number of questions Jason gets right out of 10 is (rounded to three decimal places) :

What is the probability that Jason will get no more than two of the ten questions right?

Accepted Answer

A)   0.244
B)   0.282
C)   0.526
D)   0.718
E)   0.756F) B) and D)
G) A) and B)

Question 14

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey:

What is the probability that a randomly chosen household owns fewer than two tablet computers?

Accepted Answer

A)   0.20
B)   0.64
C)   0.84
D)   0.96
E)   It is not possible to tell from the given information.F) A) and B)
G) B) and D)

Question 15

For a certain random experiment, let's consider four different outcomes, which we'll call A, B, C, and D. It has been determined that the probabilities of these outcomes are as follows:

What is the probability of outcome C?

Accepted Answer

A)   0.75
B)   0.50
C)   0.25
D)   0
E)   There is a mistake in the table, because a probability cannot be 0.F) C) and E)
G) B) and E)

Question 16

A psychologist thinks that listening to Bach helps people think. She gives subjects a set of puzzles and measures how many they solve in five minutes while listening to Bach. From data on many people, the psychologist gets this probability model:

The probability that a subject solves more than one puzzle is

Accepted Answer

A)   0.2.
B)   0.8.
C)   2.3.
D)  1) 
E)  E) B) and D)
F) B) and C)

Question 17

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey:

This is a legitimate assignment of probabilities because it satisfies these rules:

Accepted Answer

A)   all the probabilities are between 0 and 1.
B)   all the probabilities are between -1 and 1.
C)   the sum of all the probabilities is exactly 1.
D)   All the probabilities are between 0 and 1, and the sum of all the probabilities is exactly 1.
E)   All the probabilities are between -1 and 1, and the sum of all the probabilities is exactly 1..F) B) and C)
G) A) and E)

Question 18

When you choose a card at random from a well-shuffled deck, the probability is 1/4 that your card belongs to any one of the four suits: clubs, diamonds, hearts, and spades. Clubs and spades are black, hearts and diamonds are red. The probability that your randomly chosen card is red is

Accepted Answer

A)  0) 
B)   1/4.
C)   1/2.
D)   3/4.
E)   1.F) A) and B)
G) A) and C)

Question 19

Here is an assignment of probabilities to the face that comes up when rolling a die once:

Which of the following is true?

Accepted Answer

A)   This isn't a legitimate assignment of probability, because every face of a die must have probability 1/6.
B)   This isn't a legitimate assignment of probability, because it gives probability zero to rolling a 3 or a 5.
C)   This isn't a legitimate assignment of probability, because the probabilities do not add to exactly 1.
D)   This isn't a legitimate assignment of probability, because we must actually roll the die many times to learn the true probabilities.
E)   This is a legitimate assignment of probability.F) B) and D)
G) A) and C)

Question 20

Suppose a sorority is selling 500 raffle tickets to raise money for a local charity. You are going to be the first person to purchase any of the tickets. What is the smallest number of tickets you need to purchase to ensure that your probability of winning is greater than anyone else's probability of winning?

Accepted Answer

A)   251
B)   250
C)   500
D)   0.5
E)   2F) A) and E)
G) A) and C) A

Exam 18: Probability Models

A die has six faces, showing 1 to 6 pips (spots) . If a die is balanced, all six faces are equally likely. What must be the probability of each face?

Correct Answer
verified
B

Correct Answer
verified
C

A game involving a pair of dice pays you $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36. What is your approximate probability of losing money in one play of the game?

Correct Answer
verified

A friend rolls a cheap 6-sided die many times. He reports that the probabilities of the possible outcomes are about as follows: Is this a legitimate assignment of probabilities?

Correct Answer
verified

The probability that the sum is 7 when you roll two dice is 1/6; the probability that the sum is 11 is 1/18. Suppose you play a game where you win if the sum is 7 or 11. What is the probability that you win?

Correct Answer
verified

The _______________ of a statistic indicates what values the statistic takes in repeated samples from the same population and how often it takes those values.

Correct Answer
verified

If we roll a pair of fair dice and count the number of aces (one dot) showing, the probability model is as follows: Back in the 17th century, some gamblers thought that the probability of at least one ace (i.e., one or more aces) when rolling two dice was 1/6 + 1/6. Is that true?

Correct Answer
verified

An experiment has four possible outcomes: A, B, C, and D. Which of the following is a legitimate assignment of probabilities for these four events?

Correct Answer
verified

Correct Answer
verified

A _______________ for a random phenomenon describes all the possible outcomes and indicates how to assign probabilities to any collection of outcomes.

Correct Answer
verified

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when a box is scratched. Printed on the ticket are the following probabilities for a customer who shops once a week: What is the probability of winning nothing?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey: What is the probability that a randomly chosen household owns fewer than two tablet computers?

Correct Answer
verified

For a certain random experiment, let's consider four different outcomes, which we'll call A, B, C, and D. It has been determined that the probabilities of these outcomes are as follows: What is the probability of outcome C?

Correct Answer
verified

Correct Answer
verified

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey: This is a legitimate assignment of probabilities because it satisfies these rules:

Correct Answer
verified

When you choose a card at random from a well-shuffled deck, the probability is 1/4 that your card belongs to any one of the four suits: clubs, diamonds, hearts, and spades. Clubs and spades are black, hearts and diamonds are red. The probability that your randomly chosen card is red is

Correct Answer
verified

Here is an assignment of probabilities to the face that comes up when rolling a die once: Which of the following is true?

Correct Answer
verified

Correct Answer
verified
A

Exam 18: Probability Models

A die has six faces, showing 1 to 6 pips (spots) . If a die is balanced, all six faces are equally likely. What must be the probability of each face?

Correct AnswerverifiedB

Correct AnswerverifiedC

A game involving a pair of dice pays you $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36. What is your approximate probability of losing money in one play of the game?

Correct AnswerverifiedShow Answer

A friend rolls a cheap 6-sided die many times. He reports that the probabilities of the possible outcomes are about as follows: Is this a legitimate assignment of probabilities?

Correct AnswerverifiedShow Answer

The probability that the sum is 7 when you roll two dice is 1/6; the probability that the sum is 11 is 1/18. Suppose you play a game where you win if the sum is 7 or 11. What is the probability that you win?

Correct AnswerverifiedShow Answer

The _______________ of a statistic indicates what values the statistic takes in repeated samples from the same population and how often it takes those values.

Correct AnswerverifiedShow Answer

If we roll a pair of fair dice and count the number of aces (one dot) showing, the probability model is as follows: Back in the 17th century, some gamblers thought that the probability of at least one ace (i.e., one or more aces) when rolling two dice was 1/6 + 1/6. Is that true?

Correct AnswerverifiedShow Answer

An experiment has four possible outcomes: A, B, C, and D. Which of the following is a legitimate assignment of probabilities for these four events?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A _______________ for a random phenomenon describes all the possible outcomes and indicates how to assign probabilities to any collection of outcomes.

Correct AnswerverifiedShow Answer

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when a box is scratched. Printed on the ticket are the following probabilities for a customer who shops once a week: What is the probability of winning nothing?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey: What is the probability that a randomly chosen household owns fewer than two tablet computers?

Correct AnswerverifiedShow Answer

For a certain random experiment, let's consider four different outcomes, which we'll call A, B, C, and D. It has been determined that the probabilities of these outcomes are as follows: What is the probability of outcome C?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

If an American household were chosen at random and asked how many tablet computers it owned, here are the probabilities as determined by a recent survey: This is a legitimate assignment of probabilities because it satisfies these rules:

Correct AnswerverifiedShow Answer

When you choose a card at random from a well-shuffled deck, the probability is 1/4 that your card belongs to any one of the four suits: clubs, diamonds, hearts, and spades. Clubs and spades are black, hearts and diamonds are red. The probability that your randomly chosen card is red is

Correct AnswerverifiedShow Answer

Here is an assignment of probabilities to the face that comes up when rolling a die once: Which of the following is true?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedA

Correct Answer
verified
B

Correct Answer
verified
C

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
A