CK-12 Foundation
Expected Value: Game of Chance
Determine whether the payoff is worth it. Pupils calculate the expected value of a game with three different payoff levels. Each level has a different probability of winning money. The scholars find the expected payoffs for each level...
CK-12 Foundation
Expected Value: Creating a Discrete Probability Distribution Table
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
CK-12 Foundation
Expected Value: Win a Dollar
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
CK-12 Foundation
Expected Value: Playing Darts
The expected payoff is right on target. An interactive resource provides a dart game scenario with amounts of cash prizes and probabilities of winning. Learners calculate the expected value and expected payoff for the game. To finish,...
Google
Probability Project: Design Your Own Game
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 rubric...
EngageNY
Interpreting Expected Value
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
EngageNY
Using Expected Values to Compare Strategies
Discover how mathematics can be useful in comparing strategies. Scholars develop probability distributions for situations and calculate expected value. They use their results to identify the best strategy for the situation.
EngageNY
Games of Chance and Expected Value 1
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
EngageNY
Expected Value of a Discrete Random Variable
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
EngageNY
Games of Chance and Expected Value 2
Use expected values to analyze games of chance. The 15th installment of a 21-part module has young mathematicians looking at different games involving tickets and deciding which would be the best to play. They calculate expected payoffs...
Curated OER
Expected Value
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.
Utah Education Network (UEN)
Probability and Statistics
MAD about statistics? In the seventh chapter of an eight-part seventh-grade workbook series, learners develop probability models and use statistics to draw inferences. In addition, learners play games and conduct experiments to determine...
Project Maths
Introduction to Probability
Take a chance with an activity sure to improve your class's skills. An introductory instructional activity focuses on probability and chance. It shows how probability is always a value between zero and one, i.e., the probability of an...
Illustrative Mathematics
Fred's Fun Factory
Spin to win! Individuals calculate the average number of tickets expected based on a probability distribution for the number of tickets per spin. Pupils use that information to determine the average number of tickets that can be won...
EngageNY
Analyzing Decisions and Strategies Using Probability 1
Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.
Curated OER
Probability and Expected Value
Learners collect data and analyze it. In this statistics lesson, students make predictions using different outcomes of trials.
Curated OER
Probability and Applications of Simulations
Middle schoolers apply properties of probability to the real world. In this probability lesson, learners simulate the construction of empirical distribution. They collect and analyze data using central tendencies.
EngageNY
End-of-Module Assessment Task - Precalculus (Module 5)
Give your young scholars a chance to show what they've learned from the module. The last installment of a 21-part series is an end-of-module assessment task. It covers basic and conditional probabilities, expected value, and analyzing...
Curated OER
Expected Value
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
College Board
2010 AP® Statistics Free-Response Questions Form B
Form a good familiarity with the AP® test using Form B of the 2010 AP® Statistics free-response questions. Pupils use a test from a previous administration to prepare for their exams. A set of six questions assesses box plots,...
College Board
2003 AP® Statistics Free-Response Questions Form B
Update the statistics in your course using older AP® questions. The 2003 AP® Statistics free-response questions cover several of the concepts in the current statistics standards for all pupils. Items contain questions about determining...
University of Nottingham
Modeling Conditional Probabilities: 2
Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...
College Board
1999 AP® Statistics Free-Response Questions
Closer to 2010 than expected. Several of the 1999 AP® Statistics free-response questions align to Common Core standards. Items ask pupils to analyze residuals, two-way tables, and calculate expected values to determine the fairness of a...
Curated OER
Flipping for a Grade
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...