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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 8

Probability and Sampling

Lesson 2: Chance Experiments

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Definition--Statistics and Probability Concepts--Dependent Event Definition--Statistics and Probability Concepts--Dependent Event Dependent Event

Topic

Statistics and Probability

Definition

A dependent event is an event whose outcome is influenced by the outcome of a preceding event.

Probability
Definition--Statistics and Probability Concepts--Dependent Event Definition--Statistics and Probability Concepts--Dependent Event Dependent Event

Topic

Statistics and Probability

Definition

A dependent event is an event whose outcome is influenced by the outcome of a preceding event.

Probability
Definition--Statistics and Probability Concepts--Independent Event Definition--Statistics and Probability Concepts--Independent Event Independent Event

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.

Probability
Definition--Statistics and Probability Concepts--Independent Event Definition--Statistics and Probability Concepts--Independent Event Independent Event

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.

Probability
Definition--Statistics and Probability Concepts--Independent Event Definition--Statistics and Probability Concepts--Independent Event Independent Event

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.

Probability
Definition--Statistics and Probability Concepts--Independent Event Definition--Statistics and Probability Concepts--Independent Event Independent Event

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.

Probability
Definition--Statistics and Probability Concepts--Independent Event Definition--Statistics and Probability Concepts--Independent Event Independent Event

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.

Probability
Definition--Statistics and Probability Concepts--Independent Event Definition--Statistics and Probability Concepts--Independent Event Independent Event

Topic

Statistics and Probability

Definition

An independent event is an event whose outcome is not affected by the outcome of another event.

Description

Independent events are a key concept in probability, where the occurrence of one event does not influence another. This principle is applied in various fields, such as quality control, where the failure of one product does not affect others. Understanding independent events is essential for students to accurately calculate probabilities and analyze situations where events occur without influencing each other.

Probability
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

Data Analysis
Definition--Statistics and Probability Concepts--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

Data Analysis
Definition--Statistics and Probability Concepts--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

Data Analysis
Definition--Statistics and Probability Concepts--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

Data Analysis
Definition--Statistics and Probability Concepts--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

Data Analysis
Definition--Statistics and Probability Concepts--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

Data Analysis
Definition--Statistics and Probability Concepts--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Multiplication Rule of Probability

Topic

Statistics and Probability

Definition

The multiplication rule of probability is used to find the probability of two independent events both occurring.

Description

The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.

Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Multiplication Rule of Probability

Topic

Statistics and Probability

Definition

The multiplication rule of probability is used to find the probability of two independent events both occurring.

Description

The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.

Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Multiplication Rule of Probability

Topic

Statistics and Probability

Definition

The multiplication rule of probability is used to find the probability of two independent events both occurring.

Description

The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.

Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Multiplication Rule of Probability

Topic

Statistics and Probability

Definition

The multiplication rule of probability is used to find the probability of two independent events both occurring.

Description

The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.

Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Multiplication Rule of Probability

Topic

Statistics and Probability

Definition

The multiplication rule of probability is used to find the probability of two independent events both occurring.

Description

The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.

Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Definition--Statistics and Probability Concepts--Multiplication Rule of Probability Multiplication Rule of Probability

Topic

Statistics and Probability

Definition

The multiplication rule of probability is used to find the probability of two independent events both occurring.

Description

The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1 Definition--Statistics and Probability Concepts--Permutation 1 Permutation 1

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1 Definition--Statistics and Probability Concepts--Permutation 1 Permutation 1

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1 Definition--Statistics and Probability Concepts--Permutation 1 Permutation 1

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1 Definition--Statistics and Probability Concepts--Permutation 1 Permutation 1

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1 Definition--Statistics and Probability Concepts--Permutation 1 Permutation 1

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1 Definition--Statistics and Probability Concepts--Permutation 1 Permutation 1

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

Data Analysis
Definition--Statistics and Probability Concepts--Permutation 2 Definition--Statistics and Probability Concepts--Permutation 2 Permutation 2

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

 

Probability
Definition--Statistics and Probability Concepts--Permutation 2 Definition--Statistics and Probability Concepts--Permutation 2 Permutation 2

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

 

Probability
Definition--Statistics and Probability Concepts--Permutation 2 Definition--Statistics and Probability Concepts--Permutation 2 Permutation 2

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

 

Probability
Definition--Statistics and Probability Concepts--Permutation 2 Definition--Statistics and Probability Concepts--Permutation 2 Permutation 2

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

 

Probability
Definition--Statistics and Probability Concepts--Permutation 2 Definition--Statistics and Probability Concepts--Permutation 2 Permutation 2

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

 

Probability
Definition--Statistics and Probability Concepts--Permutation 2 Definition--Statistics and Probability Concepts--Permutation 2 Permutation 2

Topic

Statistics and Probability

Definition

A permutation is an arrangement of items in a specific order.

Description

Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is 

 

Probability
Definition--Statistics and Probability Concepts--Probability Definition--Statistics and Probability Concepts--Probability Probability

Topic

Statistics and Probability

Definition

Probability quantifies the likelihood of an event occurring.

Description

Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.

Probability
Definition--Statistics and Probability Concepts--Probability Definition--Statistics and Probability Concepts--Probability Probability

Topic

Statistics and Probability

Definition

Probability quantifies the likelihood of an event occurring.

Description

Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.

Probability
Definition--Statistics and Probability Concepts--Probability Definition--Statistics and Probability Concepts--Probability Probability

Topic

Statistics and Probability

Definition

Probability quantifies the likelihood of an event occurring.

Description

Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.

Probability
Definition--Statistics and Probability Concepts--Probability Definition--Statistics and Probability Concepts--Probability Probability

Topic

Statistics and Probability

Definition

Probability quantifies the likelihood of an event occurring.

Description

Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.

Probability
Definition--Statistics and Probability Concepts--Probability Definition--Statistics and Probability Concepts--Probability Probability

Topic

Statistics and Probability

Definition

Probability quantifies the likelihood of an event occurring.

Description

Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.

Probability
Definition--Statistics and Probability Concepts--Probability Definition--Statistics and Probability Concepts--Probability Probability

Topic

Statistics and Probability

Definition

Probability quantifies the likelihood of an event occurring.

Description

Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.

Probability
Definition--Statistics and Probability Concepts--Probability Model Definition--Statistics and Probability Concepts--Probability Model Probability Model

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

Probability
Definition--Statistics and Probability Concepts--Probability Model Definition--Statistics and Probability Concepts--Probability Model Probability Model

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

Probability
Definition--Statistics and Probability Concepts--Probability Model Definition--Statistics and Probability Concepts--Probability Model Probability Model

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

Probability
Definition--Statistics and Probability Concepts--Probability Model Definition--Statistics and Probability Concepts--Probability Model Probability Model

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

Probability
Definition--Statistics and Probability Concepts--Probability Model Definition--Statistics and Probability Concepts--Probability Model Probability Model

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

Probability
Definition--Statistics and Probability Concepts--Probability Model Definition--Statistics and Probability Concepts--Probability Model Probability Model

Topic

Statistics and Probability

Definition

A probability model is a mathematical representation of a random phenomenon.

Description

Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.

Probability