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Activity
Google

Probability Project: Design Your Own Game

For Teachers 10th - 12th Standards
Designing a game is the focus of this probability lesson. Groups develop and build a unique game, including directions for how to play, a calculation of the expected value of winning, and a personal reflection. The plan provides a...
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Activity
Curated OER

Changing It Up

For Teachers 9th - 12th Standards
How should a cashier stock a cash register with coins? Learners use mathematical modeling and expected value to determine how many rolls of coins of each type they should place in a cash register.
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Activity
101 Questions

Bet Your Coffee

For Students 9th - 12th Standards
Coffee drinkers, rejoice, here's a chance to win free coffee! Coffee club card holders have the chance to win free coffee every day for a year—but they must enter using their cards good for a free cup. Scholars weigh the chances of...
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Activity
Curated OER

Flipping for a Grade

For Teachers 9th - 12th Standards
What happens when your teachers get tired of grading tests and want to use games of chance to determine your grade? How would you decide which game they should play? Learn how to use expected value and standard notation to compare two...
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Lesson Plan
Curated OER

Expected Value

For Teachers 9th - 12th
Students discuss what expected value is, they are introduced to the concept of varyting payoffs. Students use a computer simulation of a "real world" example where expected value is used.
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Worksheet
Curated OER

Math Applications

For Students Higher Ed
In this math applications worksheet, students solve one word problem that has two parts to it. First, they determine the expected value of a ticket for a prize. Then, student determine the fair price for the ticket purchased and explain...
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Worksheet
Curated OER

Math Applications 2

For Students Higher Ed
In this probability worksheet, students solve 1 word problem with three different parts to it. First, they find the probability of drawing an ace from a deck of cards. Then, students determine the probability that they will draw an ace...
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Worksheet
Curated OER

Math Applications 13

For Students Higher Ed
In this probability activity, students solve 2 different problems that include 7 parts in the first one and 2 parts in the second. First, they find the probability that one marble selected at random from a jar will be yellow or green....
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Lesson Plan
Curated OER

Expected Value

For Teachers 6th - 8th
Students explore expected value, are introduced to the concept of varying payoffs, and have used a computer simulation of a "real world" example where expected value is used
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Website
Columbia University

Columbia University: Expected Value Pdf

For Students 10th - 12th Standards
A PDF explaining and giving examples to show how the expected value of a random variable indicates its weighted average.
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Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Not So Great Expectations

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson exposes students to the concept of expected values (or expected outcomes). The method for computing the expectation is explained, and then many examples are given for students to...
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Zero Sum Games and Mixed Strategies

For Students 9th - 10th
Students examine game theory. Topics include zero-sum games, mixed strategies, and expected value. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
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Unknown Type
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Measures of Central Tendency

For Students 9th - 10th Standards
Students learn about measures of central tendency. Topics explored are mean, median, mode, and expected value. The tutorial investigates the statistics concepts through class notes and examples. Review exercises and a chapter quiz are...
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Unit Plan
Sophia Learning

Sophia: Introduction to Probability

For Students 9th - 10th Standards
Introduction to Probability is a resource that provides assessment and teacher tutorials that focus on mathematic concepts such as probability, outcomes, events, probability distribution, laws, values and odd.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Md Fred's Fun Factory

For Teachers 9th - 10th Standards
A famous arcade in a seaside resort town consists of many different games of skill and chance. In order to play a popular "spinning wheel" game at Fred's Fun Factory Arcade, a player is required to pay a small, fixed amount of 25 cents...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Md.2, 5 Sounds Really Good! (Sort Of)

For Teachers 9th - 10th
A friend of yours, Phil, writes to you asking about a new scratch-off lottery game. It costs $10 to play this game. There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in...
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Interactive
Shodor Education Foundation

Shodor Interactivate: Stock Exchange Game

For Students 9th - 10th Standards
In this game, two players compete in a stock exchange, working with the concepts of theorertical and experimental probabilities and expected value. They must enter the probability and payoff of winning a single game, then observe the...
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Website
Illustrative Mathematics

Illustrative Mathematics: Hss md.a.2

For Students 9th - 10th Standards
Three activities asking students to calculate the expected value of a random variable and interpret it as the mean of the probability distribution. Tasks include Bob's Bagel Shop, Fred's Fun Factory, and Sounds Really Good! (sort of).
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Handout
University of Glasgow

Steps Statistics Glossary: Expected Value

For Students 9th - 10th Standards
Site defines statistical expected value as the population mean and discusses it's usefulness as a summary value of a variable's distribution. The formula for calculating expected value is provided, as is an example.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Histogram and Probability Distribution Generator

For Students 9th - 10th Standards
The learning tool displays data in the form of a histogram. The tool also shows descriptive statistics and probability distributions. Examples of data are included.
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Unit Plan
Interactive Mathematics

Interactive Mathematics: Probability Distribution

For Students 9th - 10th Standards
The concept of random variables is the focus of this lesson, including definitions of discrete and continuous random variables. Discussions on discrete probability distribution and density function are included, along with expected value...
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Handout
University of Glasgow

Steps Statistics Glossary: Sample Mean

For Students 9th - 10th Standards
The definition of a sample mean is provided along with the symbol commonly used for it and an example to show the formula in action. A link to "expected value" - a related topic - is provided.