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  • High Exposure

    This probability activity discusses the differences among various kinds of studies and which types of inferences can legitimately be drawn from each, as well as how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference. The procedure and assessment are provided.

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  • The Birthday Problem

    This lesson is based on Lawrence Lesser's article that describes the set-up of the spreadsheet simulation and Cindia Stewart's lesson that seeks to answer the Birthday Problem using three different methods. Probability topics include: Sample Size, Law of Large Numbers, Complementary Probabilities, Independence of Events

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  • Time-Axis Fallacy and Bayes Theorem

    This site provides an outline of an activity for introducing Bayes' Theorem and conditional probability.

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  • An Illustration of Bootstrapping Using Video Lottery Terminal Data

    The dataset described in this article contains information on 345 plays on an electronic slot machine and the prize for each. This data can be used to illustrate parametric bootstrapping and tests of independence for two and three-way contingency tables involving random zeroes. Key Words: Simulation; Elementary probabilities.

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  • Random Babies Applet

    This applet simulates randomly assigning newborn babies to families and measures the number of matches, or instances when a baby is assigned to its real family. The applet keeps track of each trial and records the information in a histogram. The idea is to teach theoretical values associated with random sampling. The relation website is a worksheet activity to accompany the applet.

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  • Random Babies Activity

    This worksheet activity teaches random sampling and theoretical probabilities by simulating the effects of randomly assigning newborn babies to their mothers. Students will perform trials and keep track of results, then use the information to deduce properties of random sampling. The relation website is an applet that simulates the process automatically.

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  • Statistics and Probability Concepts

    This is a collection of activities as Java applets that can be used to explore probability and statistics. Each activity is supplemented with background information, activity instructions, and a curriculum for the activity.

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  • Coin Tossing

    This is a virtual applet, which models repeaded coin tossing by a random number generator. It allows you to change the number of tosses as well as runs and records your results.

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  • data Collection: PollingReport.com

    An independent, nonpartisan resource on trends in American public opinion. Gives examples of recent polls, margins of error, questions asked, and sample sizes.

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  • Illuminations: Birthday Paradox

    This lesson plan uses the Birthday Paradox to introduce basic concepts of probability. Students run a Monte Carlo simulation using the TI-83 graphing calculator to generate random dates, and then search for matching pairs. Students also perform a graphical analysis of the birthday-problem function. Key Words: Permutations; Explicit Function; Recursive Function; Modeling.

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