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Interactive
CK-12 Foundation

Counting Events: Flipping Unfair Coins

For Students 7th - 12th Standards
Who said life was fair? An interactive uses an area diagram to represent the probabilities of flipping unfair coins. Pupils use the diagram to calculate the probabilities of outcomes of flipping the two coins. The scholars must decide...
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Interactive
CK-12 Foundation

Complement Rule for Probability: Changes in an Election

For Students 7th - 12th Standards
Pupils determine the probability of one mayoral candidate winning given the other's chance. The interactive provides a circle graph to help visualize each candidate's percentages of winning.
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Interactive
CK-12 Foundation

Mutually Exclusive Events: Lemon Roulette!

For Students 7th - 12th Standards
You first! An interactive sets up a game between two friends who hope they don't find a lemon hidden under a tray. Pupils determine whether there is an advantage of going first. Individuals find the probabilities of each friend finding...
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Interactive
CK-12 Foundation

Mutually Inclusive Events: Flower Beds at the Community Garden

For Students 9th - 12th Standards
What color does your garden grow? Learners manipulate the number of flowers of two colors in two garden plots. They determine the probabilities of choosing a particular color of a flower in a given plot. Scholars find the relationship of...
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Interactive
CK-12 Foundation

Mutually Inclusive Events: Card Game

For Students 9th - 12th Standards
Find probabilities of pulling cards. Using a Venn diagram, individuals sort five cards along the rules of a game. The pupils calculate compound probabilities using the information from the diagram. Initially, the interactive provides the...
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Interactive
CK-12 Foundation

Geometric Probability: Dartboard

For Students 6th - 12th Standards
Get your class on target with probability using an exciting resource. The interactive presents three square dartboards with different target areas, which are combinations of square units. Pupils determine the probabilities of randomly...
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Interactive
CK-12 Foundation

Conditional Probability: Candy Store

For Students 9th - 12th Standards
An interactive uses a candy store to involve the pupils in conditional probabilities. Learners determine probabilities as customers purchase different types of candies and the stock decreases.
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Interactive
CK-12 Foundation

Conditional Probability: Game Show with Monty

For Students 9th - 12th Standards
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...
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Interactive
CK-12 Foundation

Dependent Events: Cheryl's Birthday

For Students 9th - 12th Standards
Use dependency to find a birthday. Learners use an interactive to keep track of excluded potential dates of a birthday using information provided to two people about a third's birthday. Scholars then use the dependency between the dates...
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Interactive
CK-12 Foundation

Discrete Random Variables: Roll the Dice!

For Students 9th - 12th Standards
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...
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Interactive
CK-12 Foundation

Sums and Differences of Independent Random Variables: Traveling Seasickness

For Students 9th - 12th Standards
Use a Punnett square to calculate probabilities. The resource presents a situation in which two patients are randomly selected from a group of patients with a particular illness. Pupils use the interactive to determine the likelihood...
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Interactive
CK-12 Foundation

Binomial Distributions and Probability: Roll One!

For Students 9th - 12th
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...
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Interactive
CK-12 Foundation

Normal Approximation of the Binomials Distribution: When to Approximate

For Students 9th - 12th
Normalizing a binomial distribution — determine when it is all right. Given the rule of thumb of when it is appropriate to use the normal distribution to approximate a binomial distribution, pupils look at different scenarios....
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Interactive
CK-12 Foundation

Expected Value: Creating a Discrete Probability Distribution Table

For Students 11th - 12th Standards
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
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Interactive
CK-12 Foundation

Expected Value: Game of Chance

For Students 11th - 12th Standards
Determine whether the payoff is worth it. Pupils calculate the expected value of a game with three different payoff levels. Each level has a different probability of winning money. The scholars find the expected payoffs for each...
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Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
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Interactive
CK-12 Foundation

Expected Value: Playing Darts

For Students 11th - 12th Standards
The expected payoff is right on target. An interactive resource provides a dart game scenario with amounts of cash prizes and probabilities of winning. Learners calculate the expected value and expected payoff for the game. To...
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Interactive
CK-12 Foundation

Numerical Computations: Counting Out Probability

For Students 6th - 8th Standards
Keep your heads up while counting. Pupils use an interactive to create a table with the possible outcomes of flipping three coins and then determine the probabilities of getting certain combinations of heads and tails.
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Interactive
CK-12 Foundation

Additive and Multiplicative Rules for Probability: Red Dress? Blue Dress? Both!

For Students 7th - 12th Standards
The sum of the parts is greater than the whole. An interactive uses a Venn-like model to show the percentage of females from a survey that have a blue dress, a red dress, or both. The pupils determine the numbers in each category...
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Interactive
CK-12 Foundation

Conditional Probability: Colorful Cubes

For Students 9th - 12th Standards
An interactive provides a model to visually represent the formula for the probability of an outcome. Given 10 numbered color cubes, pupils arrange them on the top and bottom shelf to represent the probability fraction. The learners...
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Interactive
CK-12 Foundation

Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety

For Students 9th - 12th Standards
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule,...
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Interactive
CK-12 Foundation

Coterminal Angles: Full Circle

For Students 9th - 12th Standards
Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.
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Interactive
CK-12 Foundation

Slope-Intercept Form of Linear Equations: Cable Car Tracks

For Students 7th - 10th Standards
Get on track to learn about slope-intercept form. Scholars use an interactive to position a line along the tracks of cable car. Applying knowledge of slope and intercepts, they write the slope-intercept form of the equation for the line.
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Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...