Probability

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Sample Documents > Mathematics > Probability

Document name

Characteristics

Description

BallsWithoutReplacement

Simulation from Probability with 10 cases, 1 attribute. Useful for Activity, Demonstration

Shows the difference between sampling with and without replacement.

BathroomTiles

Simulation from Probability with 10000 cases, 1 attribute. Useful for Demonstration, Project

Demonstration based on a bathroom floor with randomly arranged tiles

Birthdays1978

Activity from Probability with 365 cases, 3 attributes. Useful for Activity

For each of 365 days during 1978, records the number of births in the U.S. Periodic data.

BlackCards

Activity from Probability with 1 case, 1 attribute. Useful for Activity

Illustrates the meaning of independence using cards.

BlackjackPairs

Simulation from Probability with 52 cases, 4 attributes. Useful for Demonstration

Shows how to solve a particular problem relating to dealing out cards.

BrownianMotion

Activity from Probability with 50 cases, 2 attributes. Useful for Activity

Models Brownian motion.

Buffon_Needle

Simulation from Probability with 500 cases, 5 attributes. Useful for Demonstration

Shows how to model the Buffon Needle problem.

ChaosGame

Simulation from Probability with 2000 cases, 4 attributes. Useful for Exploration, Activity

Models the ChaosGame.

DiceBetting

Simulation from Probability with 1 case with 3 attributes. Useful for Activity, Demonstration

Simulation of a betting situation.

Ehrenfest

Simulation from Probability with 1720 cases, 4 attributes. Useful for Demonstration

Simulation of a famous scenario involving transferring balls between urns.

Enumeration

Demonstration from Probability with 16 cases, 13 attributes. Useful for Demonstration

Visualization of rearranging 16 possible outcomes of 4 coin flips.

Estimating Pi

Simulation from Probability, Geometry with 100 cases, 4 attributes. Useful for Activity, Demonstration

Shows how choosing points at random in a square can lead to an estimation of π.

Fair and Unfair Dice

Simulation from Probability with 108 cases, 8 attributes. Useful for Demonstration

Allows comparison of the roles of a fair die and an unfair die.

FamilyPlanning

Simulation from Probability with 2 cases, 1 attribute. Useful for Demonstration

Simulation of particular “family planning” technique.

FiveCoins

Simulation from Probability with 5 cases, 1 attribute. Useful for Activity, Demonstration

A simulation that allows viewing the proportion of flips of five coins that have each of the possible outcomes as a function of the number of trials.

GeometricCards

Simulation from Probability with 52 cases, 3 attributes. Useful for Demonstration

Simulation of drawing cards from a deck until a club is drawn.

LifeExpectancyQuestion

Data from Life Sciences with 86 cases, 4 attributes. Useful for Activity

Data about expected number of years till death from any age separated by gender.

Lotto

Simulation from Probability with 80 cases, 1 attribute. Useful for Activity, Demonstration

Simulation of a lotto game with sliders controlling various payoffs.

RandomWalk

Simulation from Probability with 10 cases, 1 attribute. Useful for Demonstration

Simulation of 10 1-dimensional steps.

RandomWalkUntilN

Simulation from Probability with 1 case with 0 attributes. Useful for Demonstration

How many random walk steps does it take on average to get N steps to the right of the starting position.

RepeatedFlips

Simulation from Probability with 2 cases, 1 attribute. Useful for Demonstration

Shows proportion of heads as a function of number of flips and the approach toward 0.5

Scrambled Coats

Simulation from Statistics with 10 cases, 2 attributes. Useful for Activity, Demonstration

Ten people check their coats in a restaurant. They all lose their tags and the cloak room checker just gives them a random coat. What is the probability that a given person will receive his/her coat? Shows how to solve the problem with simulation.

ShootingMatch

Simulation from Probability, Game Theory with 10 cases, 7 attributes. Useful for Activity, Demonstration

Three people are in a duel. Shows how to compare two different strategies for one of the duelists.

SpinnerGame

Simulation from Probability, Game Theory with 1000 cases, 5 attributes. Useful for Demonstration

Determines the best strategy for a player in a spinner game based on Showcase Showdown.