Question 1

What is the probability that when drawing a card at random from the deck, it will be the queen of hearts?

Accepted Answer

A)  0.2% 
B)  1% 
C)  2% 
D)  4% 
A)  0.2% 
B)  1% 
C)  2% 
D)  4%

Question 2

Which of the following is an example of the law of large numbers?

Accepted Answer

A)  The gambler's fallacy 
B)  Mutual exclusivity of whether heads or tails are obtained on a single toss of a coin 
C)  In the long run, the chances of obtaining heads from tossing a fair coin is 0.5. 
D)  The empirical probability of obtaining a 6 after ten tosses of a fair die. 
A)  The gambler's fallacy 
B)  Mutual exclusivity of whether heads or tails are obtained on a single toss of a coin 
C)  In the long run, the chances of obtaining heads from tossing a fair coin is 0.5. 
D)  The empirical probability of obtaining a 6 after ten tosses of a fair die.

Question 3

According to set theory, a set is a well-defined collection of things and objects but not events.

Accepted Answer

A) True 
 B)False

Question 4

Penny tosses two dice. What is the probability that both dice are the exact same number?

Accepted Answer

A)  17% 
B)  3% 
C)  33% 
D)  13% 
A)  17% 
B)  3% 
C)  33% 
D)  13%

Question 5

Which of the following options is true?

Accepted Answer

A)  Heads and tails are not considered to be the universal set of outcomes of a toss of a coin because they are only two outcomes. 
B)  If we toss two dice a single time, the universal set is 6 times 6. 
C)  A universal set is always made up of interval data. 
D)  None of the above. 
A)  Heads and tails are not considered to be the universal set of outcomes of a toss of a coin because they are only two outcomes. 
B)  If we toss two dice a single time, the universal set is 6 times 6. 
C)  A universal set is always made up of interval data. 
D)  None of the above.

Question 6

The gambler's fallacy involves treating events that are independent of each other as dependent.

Accepted Answer

A) True 
 B)False

Question 7

Consider the 12 face cards from a deck of playing cards (king, queen, and jack). Ben draws three cards from these face cards with replacement. What it the probability that he draws at least one Jack?

Accepted Answer

A)  1.7% 
B)  70.4% 
C)  8.3% 
D)  15% 
A)  1.7% 
B)  70.4% 
C)  8.3% 
D)  15%

Question 8

Reba tosses a coin 20 times. She obtains 14 heads and 6 tails. Reba concludes that this coin is not a fair coin. Which of the following is true?

Accepted Answer

A)  Reba is probably right, because if the coin were fair, she would have obtained exactly 10 heads and 10 tails. 
B)  Reba is probably right if the outcome of heads cluster together instead of being spread out. 
C)  Reba is probably wrong, because theoretical probability never happens in real life. 
D)  Reba is probably wrong, because empirical probability approaches theoretical probability only with an infinitely large number of tosses. 
A)  Reba is probably right, because if the coin were fair, she would have obtained exactly 10 heads and 10 tails. 
B)  Reba is probably right if the outcome of heads cluster together instead of being spread out. 
C)  Reba is probably wrong, because theoretical probability never happens in real life. 
D)  Reba is probably wrong, because empirical probability approaches theoretical probability only with an infinitely large number of tosses.

Question 9

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 without replacement? Show all the steps in your calculations.

Accepted Answer

6/12*5/11*

Question 10

True or False: When there are five events in which the occurrence of one (event A) alters the probability of the occurrence of all the rest (events B, C, D, E), then events B, C, D and E are known as dependent on event A.

Accepted Answer

A) True 
 B)False

Question 11

To calculate the probability of two independent events occurring, we add the probabilities of the occurrence of each event.

Accepted Answer

A) True 
 B)False

What is the probability that when drawing a card at random from the deck, it will be the queen of hearts?

Which of the following is an example of the law of large numbers?

According to set theory, a set is a well-defined collection of things and objects but not events.

Penny tosses two dice. What is the probability that both dice are the exact same number?

Which of the following options is true?

The gambler's fallacy involves treating events that are independent of each other as dependent.

Consider the 12 face cards from a deck of playing cards (king, queen, and jack). Ben draws three cards from these face cards with replacement. What it the probability that he draws at least one Jack?

Reba tosses a coin 20 times. She obtains 14 heads and 6 tails. Reba concludes that this coin is not a fair coin. Which of the following is true?

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 without replacement? Show all the steps in your calculations.

True or False: When there are five events in which the occurrence of one (event A) alters the probability of the occurrence of all the rest (events B, C, D, E), then events B, C, D and E are known as dependent on event A.

To calculate the probability of two independent events occurring, we add the probabilities of the occurrence of each event.

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

What is the probability that when drawing a card at random from the deck, it will be the queen of hearts?

Which of the following is an example of the law of large numbers?

According to set theory, a set is a well-defined collection of things and objects but not events.

Penny tosses two dice. What is the probability that both dice are the exact same number?

Which of the following options is true?

The gambler's fallacy involves treating events that are independent of each other as dependent.

Consider the 12 face cards from a deck of playing cards (king, queen, and jack). Ben draws three cards from these face cards with replacement. What it the probability that he draws at least one Jack?

Reba tosses a coin 20 times. She obtains 14 heads and 6 tails. Reba concludes that this coin is not a fair coin. Which of the following is true?

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 without replacement? Show all the steps in your calculations.

True or False: When there are five events in which the occurrence of one (event A) alters the probability of the occurrence of all the rest (events B, C, D, E), then events B, C, D and E are known as dependent on event A.

To calculate the probability of two independent events occurring, we add the probabilities of the occurrence of each event.

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