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EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...
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...
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...
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.
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...
EngageNY
Chance Experiments
Class members are introduced to probability using terms such as impossible, unlikely, likely, and certain. Numbers between zero and one are associated with the descriptions of probability. Pupils find the likelihood of chance experiments...
Mathematics Assessment Project
Memory Game
Middle schoolers must determine probabilities for a memory game in which winning requires matching two of the same cards. They then must determine what happens when more cards are added to the pile.
CCSS Math Activities
Rolling for the Big One
Knowing math helps you win games. Learners apply conditional probability concepts in an engaging performance task. After playing a game in which players roll a 10-sided polyhedron and then try to place the digits to get the highest...
Balanced Assessment
MasterMind
Knowledge of statistics and probability can increase your advantage when playing games. The activity asks learners to analyze the game of MasterMind to determine the number of possible codes. They also examine different variations of the...
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...
Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
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
Comparing Estimated Probabilities to Probabilities Predicted by a Model
Small groups devise a plan to find the bag that contains the larger percentage of blue chips. they then institute their plans and compare results to the actual quantities in the bags.
Curated OER
Alex, Mel, and Chelsea Play a Game
This short probability question may look simple at first, but it is actually quite complex! Learners must understand independent events in context and must take into account several different scenarios. Use as an individual assignment...
Illustrative Mathematics
Sounds Really Good! (Sort Of...)
Winning a lottery game with 60% odds sounds like a no brainer. This is when the math kicks in to show players that in the long run, they lose money the more often they play. Here is one simple question that opens the doors to a nice...
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...
Balanced Assessment
Lotto
You can't win if you don't play! Find out how to increase your chances of winning the lottery. Scholars analyze a state lottery system for the probability of winning. They also consider different combinations of numbers and how they...
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...
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.
Mathematics Assessment Project
Spinner Bingo
Learners are in it to win it for a fun math activity! After comparing Bingo boards to figure out which one is most likely to win, individuals then determine the numbers to choose in order to create a board with the best...
Mathematics Assessment Project
Lottery
A probability activity presents a lottery game as an idea for a fundraiser. Pupils analyze the game to determine the number of possible outcomes, then determine whether the game would be a good way to raise funds and to support...
Bowland
Spinner Bingo
Create a winning card. Given a description of a bingo game using two spinners, pupils determine which of three cards has the greatest chance of winning. Scholars then determine which are the best numbers to put on their own cards to give...
Balanced Assessment
Batting Orders
A baseball coach has more than 700 billion decisions to make before a game even starts, and in this resource individuals calculate the number of ways a coach can make a batting lineup. The first question places nine players out of nine....