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
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...
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...
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 long-run...
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...
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...
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...
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...
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...
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...
Curated OER
The Monty Hall Problem
In this the Monty Hall problem worksheet, 7th graders recreate the TV gameshow, Let's Make a Deal, and figure out the probability of choosing one door over another in order to win.
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
Problem-Solving Application: Use Probability
In this spinner probability learning exercise, students read one story problem about a spinner game and how fair it is. Students answer 4 short answer questions about solving this problem.
Curated OER
Combinations and Permutations
In this statistics learning exercise, students solve the probability of an event occurring using probability, permutation and combination. There are 17 questions with an answer key.
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 chance of winning.
Curated OER
The Birthday Problem
In this probability activity, students solve 1 word problem about birthdays. Students determine the number of people needed for a 50% chance of two people sharing the same birthday.
Curated OER
Heads & Tails Data Collection
In this data collection worksheet, students use a penny and a dime to play a math game. Students flip the money in the cup and then record the number of heads and tails showing marking the coins in the box.
Curated OER
Monty's Dilemma
In this algebra worksheet, learners are asked to choose a door and decide whether they should keep it or not after they are shown what is behind one of the doors. This worksheet is based on probability. There are 3 questions with an...