Activity Name | Activity Description |
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Crazy Choices Game | Students represent simple chance games as theoretical probabilities by entering data on 'winning' and total outcomes. Students can then simulate a number of trial runs to generate experimental data and probabilities for comparison with theoretical values. |
Spinner | Students can adjust the number of sectors on a game spinner drawn by the applet, and then compare expected probabilities, calculated from percentage of spinner area, against experimental probabilities, calculated as a percentage of trial 'spins' initiated by the student. |
Adjustable Spinner | Students can adjust the number of sectors as well as the percentage covered by each sector to create a game spinner drawn by the applet. Students can then compare expected probabilities, calculated from percentage of spinner area, against experimental probabilities, calculated as a percentage of trial 'spins' initiated by the student. |
Simple Monty Hall | In the style of the TV program "Let's Make a Deal", students choose one of three doors, and then choose to 'stay' or 'switch' after a second door is revealed as a 'losing' choice. The applet compiles empirical probabilities on the value of the 'stay' or 'switch' choice. |
Generalized Monty Hall | Students select conditions for a series of "Let's Make a Deal" trials. The applet provides empirical data for 'number of wins' for a given set of trial simulations. |
Advanced Monty Hall | Students select conditions for a "Let's Make a Deal"-style game, and can play individual trials of the game. The applet compiles empirical probabilities on the 'stay' or 'switch' choice given the number of doors in the particular game. |
Two Colors Applet | The applet provides a conditional probability experiment whereby three boxes are pre-arranged to contain three possible combinations of colored marbles: two green, two red, and one red/one green. Students can run individual and multiple trials of drawing single marbles from a randomly chosen box. The applet accumulates trial results, providing empirical data for discussion of conditional probability. |
Venn Diagrams | Students learn about classifying numbers into various categories through answering questions about Venn Diagrams. |
Marbles | Students learn about sampling with and without replacement by modeling drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule. |