Question 1

Explain what is meant when a coin is "fair".

Accepted Answer

Each outcome from the toss of the coin will have the equal probability of occurring.

Question 2

When rolling a die, what is the probability of obtaining an odd number on a single throw?

Accepted Answer

A)  1/3 
B)  1/6 
C)  ½ 
D)  1/5 
A)  1/3 
B)  1/6 
C)  ½ 
D)  1/5 C

Question 3

Randolph has a box with 12 plastic balls. Six of the balls are red and six are green.
-What is the probability of drawing all red balls if you draw three times with replacement?

Accepted Answer

6/12*6/12*6/12 = 0.125

Question 4

The probability of obtaining a particular data point is the frequency of it occurring in the population.

Accepted Answer

A) True 
 B)False

Question 5

Another term for events that are mutually exclusive is disjoint.

Accepted Answer

A) True 
 B)False

Question 6

Consider 3 sets of events. As long as all three sets do not overlap, we can consider them mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 7

A subset of a larger set is also considered to be the universal set.

Accepted Answer

A) True 
 B)False

Question 8

The probability of obtaining a 2, 4, or 5 on a roll of a die is the same as the probability of obtaining an odd number.

Accepted Answer

A) True 
 B)False

Question 9

Which of the following best describes mutual exclusivity?

Accepted Answer

A)  Drawing an ace after having previously drawn an ace from a deck of cards. 
B)  Obtaining tails on a single toss of a coin. 
C)  A very small probability that occurs on the tail ends of the normal distribution. 
D)  Events that are independent from each other. 
A)  Drawing an ace after having previously drawn an ace from a deck of cards. 
B)  Obtaining tails on a single toss of a coin. 
C)  A very small probability that occurs on the tail ends of the normal distribution. 
D)  Events that are independent from each other.

Question 10

What is the probability of drawing either a black card or a King on the first draw from a deck of 52 cards?

Accepted Answer

A)  4% 
B)  54% 
C)  50% 
D)  71% 
A)  4% 
B)  54% 
C)  50% 
D)  71%

Question 11

Veronica tosses three dice. What is the probability that none of the dice rolls a 1?

Accepted Answer

A)  50% 
B)  52% 
C)  55% 
D)  58% 
A)  50% 
B)  52% 
C)  55% 
D)  58%

Question 12

Nadia tosses a fair coin 3 times. She is surprised to find that the outcome is H H H. Nadia claims that this is not a fair coin. Do you agree? Why or why not?

Accepted Answer

Disagree. While Nadia has obtained all h

Question 13

Elliot draws two cards randomly from a deck of 52 cards. What is the probability that both cards are Kings?

Accepted Answer

A)  0.8% 
B)  0.1% 
C)  0.6% 
D)  0.5% 
A)  0.8% 
B)  0.1% 
C)  0.6% 
D)  0.5%

Question 14

What is the universal set of the outcomes of tossing a regular die?

Accepted Answer

A)  The hypothetical outcome that you actually obtain on that single throw. 
B)  Numbers one to six. 
C)  Obtaining the number that you guessed, or not obtaining the number that you guess. 
D)  None of the above. 
A)  The hypothetical outcome that you actually obtain on that single throw. 
B)  Numbers one to six. 
C)  Obtaining the number that you guessed, or not obtaining the number that you guess. 
D)  None of the above.

Question 15

The gambler's fallacy usually results in a correct judgement of probability of an outcome, even though the calculation of probability is not exactly correct.

Accepted Answer

A) True 
 B)False

Question 16

What is the denominator for calculating the probability of drawing a Queen from a deck of cards after first having drawn a King with no replacement?

Accepted Answer

A)  52 
B)  51 
C)  4 
D)  48 
A)  52 
B)  51 
C)  4 
D)  48

Question 17

A newly discovered species of rats can have blue eyes, brown eyes or black eyes. Both eyes of a rat have to be the same color. This means that blue, brown and black eye color are:

Accepted Answer

A)  Disjoint 
B)  Independent 
C)  Dependent 
D)  Empirical 
A)  Disjoint 
B)  Independent 
C)  Dependent 
D)  Empirical

Question 18

The gambler's fallacy is also known as the Monte Carlo fallacy.

Accepted Answer

A) True 
 B)False

Question 19

The probability of a given event that depends on the occurrence or non-occurrence of another event is known as conditional probability.

Accepted Answer

A) True 
 B)False

Question 20

Consider a black bag of colored plastic cubes, with 5 red cubes and 6 blue cubes. The probability of randomly drawing a red cube after having drawn a blue cube is:

Accepted Answer

A)  An independent probability 
B)  A universal probability 
C)  A normalized probability 
D)  A conditional probability 
A)  An independent probability 
B)  A universal probability 
C)  A normalized probability 
D)  A conditional probability

Explain what is meant when a coin is "fair".

When rolling a die, what is the probability of obtaining an odd number on a single throw?

Randolph has a box with 12 plastic balls. Six of the balls are red and six are green. -What is the probability of drawing all red balls if you draw three times with replacement?

The probability of obtaining a particular data point is the frequency of it occurring in the population.

Another term for events that are mutually exclusive is disjoint.

Consider 3 sets of events. As long as all three sets do not overlap, we can consider them mutually exclusive.

A subset of a larger set is also considered to be the universal set.

The probability of obtaining a 2, 4, or 5 on a roll of a die is the same as the probability of obtaining an odd number.

Which of the following best describes mutual exclusivity?

What is the probability of drawing either a black card or a King on the first draw from a deck of 52 cards?

Veronica tosses three dice. What is the probability that none of the dice rolls a 1?

Nadia tosses a fair coin 3 times. She is surprised to find that the outcome is H H H. Nadia claims that this is not a fair coin. Do you agree? Why or why not?

Elliot draws two cards randomly from a deck of 52 cards. What is the probability that both cards are Kings?

What is the universal set of the outcomes of tossing a regular die?

The gambler's fallacy usually results in a correct judgement of probability of an outcome, even though the calculation of probability is not exactly correct.

What is the denominator for calculating the probability of drawing a Queen from a deck of cards after first having drawn a King with no replacement?

A newly discovered species of rats can have blue eyes, brown eyes or black eyes. Both eyes of a rat have to be the same color. This means that blue, brown and black eye color are:

The gambler's fallacy is also known as the Monte Carlo fallacy.

The probability of a given event that depends on the occurrence or non-occurrence of another event is known as conditional probability.

Consider a black bag of colored plastic cubes, with 5 red cubes and 6 blue cubes. The probability of randomly drawing a red cube after having drawn a blue cube is:

Introduction: Statistics--Who Needs Them

Types of Data

A Picture Is Worth a Thousand Words: Creating and Interpreting Graphics

Measures of Central Tendency: Whats so Average About the Mean

Variability: the Law of Life

Where Am I Normal Distributions and Standard Scores

The Central Limit Theorem and Hypothesis Testing

The Z-Test

The T-Test

Analysis of Variance

Confidence Intervals and Effect Size: Building a Better Mousetrap

Correlation and Regression: Are We Related

The Chi-Square Test

Non-Parametric Tests

Which Test Should I Use and Why

Filters

Exam 7: Basic Probability Theory

Explain what is meant when a coin is "fair".

When rolling a die, what is the probability of obtaining an odd number on a single throw?

Randolph has a box with 12 plastic balls. Six of the balls are red and six are green. -What is the probability of drawing all red balls if you draw three times with replacement?

The probability of obtaining a particular data point is the frequency of it occurring in the population.

Another term for events that are mutually exclusive is disjoint.

Consider 3 sets of events. As long as all three sets do not overlap, we can consider them mutually exclusive.

A subset of a larger set is also considered to be the universal set.

The probability of obtaining a 2, 4, or 5 on a roll of a die is the same as the probability of obtaining an odd number.

Which of the following best describes mutual exclusivity?

What is the probability of drawing either a black card or a King on the first draw from a deck of 52 cards?

Veronica tosses three dice. What is the probability that none of the dice rolls a 1?

Nadia tosses a fair coin 3 times. She is surprised to find that the outcome is H H H. Nadia claims that this is not a fair coin. Do you agree? Why or why not?

Elliot draws two cards randomly from a deck of 52 cards. What is the probability that both cards are Kings?

What is the universal set of the outcomes of tossing a regular die?

The gambler's fallacy usually results in a correct judgement of probability of an outcome, even though the calculation of probability is not exactly correct.

What is the denominator for calculating the probability of drawing a Queen from a deck of cards after first having drawn a King with no replacement?

A newly discovered species of rats can have blue eyes, brown eyes or black eyes. Both eyes of a rat have to be the same color. This means that blue, brown and black eye color are:

The gambler's fallacy is also known as the Monte Carlo fallacy.

The probability of a given event that depends on the occurrence or non-occurrence of another event is known as conditional probability.

Consider a black bag of colored plastic cubes, with 5 red cubes and 6 blue cubes. The probability of randomly drawing a red cube after having drawn a blue cube is:

Introduction: Statistics--Who Needs Them

Types of Data

A Picture Is Worth a Thousand Words: Creating and Interpreting Graphics

Measures of Central Tendency: Whats so Average About the Mean

Variability: the Law of Life

Where Am I Normal Distributions and Standard Scores

The Central Limit Theorem and Hypothesis Testing

The Z-Test

The T-Test

Analysis of Variance

Confidence Intervals and Effect Size: Building a Better Mousetrap

Correlation and Regression: Are We Related

The Chi-Square Test

Non-Parametric Tests

Which Test Should I Use and Why

Filters