Inside Mathematics
Marble Game
Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.
EngageNY
Estimating Probabilities by Collecting Data
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
National Security Agency
It's Probably Probable
Learners make predictions and draw conclusions from given information as they learn the meaning of probability in this vocabulary-rich, integrated activity that presents a variety of teaching strategies to motivate and reach...
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...
Shodor Education Foundation
Spinner
Go round and round to compare theoretical and experimental probabilities. Learners set the number of sectors and the number of spins for a spinner. Then, a table displays the experimental and theoretical probabilities of the spinner for...
Mathematics Assessment Project
Card Game
Middle schoolers use 10 cards to determine whether the probability that the next card chosen is higher or lower than the previous.
CK-12 Foundation
Binomial Distributions and Probability: Roll One!
It takes exactly one to win. Pupils calculate the probability of rolling five dice and having only a single die come up with a one. Learners calculate the number of expected wins out of a series of games. The interactive provides...
Shodor Education Foundation
Crazy Choices Game
Wanna take a chance on which game is best? The resource provides three games of chance using multiple types of games. Games range from coin toss to cards. Choosing a type of game, pupils determine what wins and enter the theoretical...
Illustrative Mathematics
Return to Fred's Fun Factory (with 50 Cents)
The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...
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...
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
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...
EngageNY
Mid-Module Assessment Task: Pre-Calculus Module 5
Determine if any reteaching with a mid-module assessment task. The assessment covers the general multiplication rule, permutations and combinations, and probability distributions for discrete random variables.
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...
Shodor Education Foundation
Shodor Interactivate: Stock Exchange Game
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...