Noyce Foundation
Fair Game?
The game should be fair at all costs. The mini-assessment revolves around the ability to use probabilities to determine whether a game is fair. Individuals determine compound events to calculate simple probabilities and make...
EngageNY
Fair Games
What constitutes a fair game? Scholars learn about fair games and analyze some to see if they are fair. They extend this idea to warranties and other contexts.
Noyce Foundation
Counters
For some, probability is a losing proposition. The assessment item requires an understanding of fraction operations, probability, and fair games. Pupils determine the fractional portions of an event. They continue to determine whether...
Project Maths
Fair Trials with Two Dice
Life's not fair, but dice games should be. After playing a two-person game with a pair of dice, scholars investigate the fairness of the game. They consider the number of possible outcomes using the fundamental counting principle and...
Mathematics Vision Project
Probability
Probability, especially conditional probability, can be a slippery concept for young statisticians. Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be...
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.
EngageNY
The Difference Between Theoretical Probabilities and Estimated Probabilities
Flip a coin to determine whether the probability of heads is one-half. Pupils use simulated data to find the experimental probability of flipping a coin. Participants compare the long run relative frequency with the known theoretical...
National Council of Teachers of Mathematics
Is It Fair?
In this probability instructional activity, learners answer nine questions about the fairness of games. Students determine if a game is fair or not. They list outcomes and find ones' chances of winning.
Shodor Education Foundation
Racing Game with One Die
Pupils roll a die to figure out which car advances on a race track. They determine the rules for each car moving forward and, given the statistics of the winner, compare if it matches their predictions.
CK-12 Foundation
Discrete Random Variables: Roll the Dice!
And the winner is ... not always who it appears to be. An interactive gives the directions for a dice game that on the surface gives one player an advantage over the other. Pupils look closer at the possible outcomes and find the...
Curated OER
Tetrahedral Dice
Put those thinking hats on and look at all the possible outcomes from rolling two different four-sided dice. The challenge in this problem is finding all the combinations when adding and subtracting the numbers from each die and creating...
EngageNY
Chance Experiments, Sample Spaces, and Events
Want a leg up on the competition? Show classes how to use mathematics to their advantage when playing games. Learners calculate probabilities to determine a reasonable scoring strategy for a game.
Shodor Education Foundation
Dice Table
Convert a table to probabilities. Pupils set up the winning rules for the sums of two dice. Using the rules, the applet fills out a table showing the winners for each combination. Learners determine the probabilities of winning for each...
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...
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...
Calvin Crest Outdoor School
Survival
Equip young campers with important survival knowledge with a set of engaging lessons. Teammates work together to complete three outdoor activities, which include building a shelter, starting a campfire, and finding directions in the...
Illustrative Mathematics
Illustrative Mathematics: 7.sp.8 Tetrahedral Dice
Many games use dice which are six-sided and fair (meaning each face on the die is equally likely to land face up). Many games also use the sum of two dice rolled at the same time to determine movement of game pieces. However, not all...