EngageNY
Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Calculate theoretical probabilities and compare them to experimental probabilities. Pupils build on their knowledge of experimental probabilities to determine theoretical probabilities. Participants work several problems with the...
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
Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities
Cultivate the tree of knowledge using diagrams with two stages. Pupils create small tree diagrams to determine the sample space in compound probability problems. The lesson uses only two decision points to introduce tree diagrams.
Curated OER
Rolling Twice
Rolling dice is the best way to show your learners how probability comes in to play. Although this lesson does not specify an activity, your mathematicians can try this probability with real dice to calculate their experimental...
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...
S2tem Centers SC
Investigating Chance Processes of Probability
How likely is it that the school cafeteria will serve chicken tomorrow? Discover the concept of probability with the roll of the dice. Pupils evaluate the liklihood of several statments about everyday life. Then, a mathematical...
Shodor Education Foundation
Experimental Probability
Spin into a dicey experiment. Pupils use a spinner or a pair of dice to determine the experimental probabilities of each outcome. The interactive allows for either, one, five, or ten consecutive experiments. Using the applet, learners...
American Statistical Association
Exploring Geometric Probabilities with Buffon’s Coin Problem
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
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...
University of California
Student Workbook: Statistics and Probability
Statistically, practicing this packet completely helps young mathematicians do well on the test. The packet is adaptable to many grade levels as it includes basic probability and goes up to data analysis with mean, median, and mode.
Heidi Songs
Zoo Animal Probability Graph
Capture the engagement of your young mathematicians with a collaborative graphing activity. Using a deck of zoo animal picture cards, students select a picture from the deck, record the chosen animal on a graph, and then replace the card...
National Security Agency
Are You Game? A Lesson Connecting Fractions and Probability
Exactly how fair are the board games children grow up playing? Young mathematicians investigate this questions as they work their way through this five-lesson series on basic probability.
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...
Project Maths
Probability and Relative Frequency
It's all relatively simple once you get the gist. Young mathematicians learn about sample spaces and simple probability by conducting an activity with dice. To complete the second of six parts in the Statistics and Probability unit, they...
CK-12 Foundation
Conditional Probability: Game Show with Monty
The car is behind door one — no wait, it is behind door three. An interactive allows learners to visualize the Monty Hall problem. Pupils work through the probabilities of choosing the car with their first pick. Next, they determine...
Shodor Education Foundation
Marbles
Grab some marbles from a bag. The applet simulates drawing marbles from a bag. Pupils determine the number of four colors of marbles in a bag and how many marbles to draw. Using information on whether order matters in the draw and if...
EngageNY
Applying Probability to Make Informed Decisions
Use simulations to determine the probabilities of events to make decisions. Class members are presented with several scenarios, some with known probabilities and others without. Groups run simulations to gather data that they then use to...
Radford University
AFDA Probability and Law of Large Numbers
The more trials scholars perform, the closer they'll likely be to the true value. After designing a probability experiment, young mathematicians conduct the experiment for five different numbers of trials. They then analyze the results,...
EngageNY
Conducting a Simulation to Estimate the Probability of an Event
How can you complete a simulation when it is not practical to determine the probability of an event? Class members learn that in some situations, it is not feasible to find the probability of an event, but they can estimate it by running...
Radford University
Connecting Theoretical and Experimental Probability
Play some games, develop a law, and then call it a day. Learners first perform a small number of trials for a probability experiment, then predict the result for a larger number of trials. They then compile data from the entire class to...
EngageNY
Chance Experiments with Outcomes That Are Not Equally Likely
The fifth portion of the 25-part series introduces probabilities calculated from outcomes that are not equally likely. Class members use tables to calculate probabilities of events, add outcome's probabilities, and find complements....
Intel
Fair Games
Who said things were fair? The unit introduces probability and its connection to fairness. The class interacts with activities of chance and plays games to relate them to fairness. Groups design a fair game and develop a presentation....
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.
Shodor Education Foundation
Two Colors Applet
Find the box with two green balls. The applet uses six balls, three green and three red, and hides them in three boxes. Pupils choose a box and click on it to reveal the color of balls inside. Using the chosen box, the simulation keeps...