Introduction | |
An Introduction to Probability | |
Predicting The Future | |
Rule Making | |
Random Events and Probability | |
The Lottery {Very Improbable Events and Large Data Sets} | |
Coin Flipping {Fair Games, Looking Backwards For Insight} | |
The Coin Flip Strategy That CanÆt Lose | |
The Prize Behind The Door {Looking Backwards For Insight, Again} | |
The Checker Board {Dealing With Only Part Of The Data Set} | |
Probability Distribution Functions And Some Basics | |
The Probability Distribution Function | |
Averages And Weighted Averages | |
Expected Values | |
The Basic Coin Flip Game | |
The Standard Deviation | |
The Cumulative Distribution Function | |
The Confidence Interval | |
Final Points | |
Building a Bell | |
Random Walks | |
The One Dimensional Random Walk | |
What Probability Really Means | |
Diffusion | |
Life Insurance and Social Security | |
Insurance as Gambling | |
Life Tables | |
Birth Rates and Population Stability | |
Life Tables, Again | |
Premiums | |
Social Security - Sooner Or Later? | |
Binomial Probabilities | |
The Binomial Probability Formula | |
Permutations And Combinations | |
Large Number Approximations | |
The Poisson Distribution | |
Disease Clusters | |
Clusters | |
Pseudorandom Numbers and Monte Carlo Simulations | |
Pseudorandom Numbers | |
The Middle Square PSNG | |
The Linear Congruential PSNG | |
A Normal Distribution Generator | |
An Arbitrary Distribution Generator | |
Monte Carlo Simulations | |
A League Of Our Own | |
Some Gambling Games In Detail | |
The Basic Coin Flip Game | |
The Gantt Chart | |
The Ultimate "Winning Strategy" | |
The Game Show | |
Parimutuel Betting | |
Traffic Lights And Traffic | |
Outsmarting A Traffic Light? | |
Many Lights And Many Cars | |
Simulating Traffic Flow - The Simulation | |
Simulation Results | |
Combined And Conditional Probabilities | |
Functional Notation | |
Conditional Probability | |
Medical Test Results | |
The Shared Birthday Problem | |
Scheduling And Waiting | |
Scheduling Appointments In The DoctorÆs Office | |
Lunch With A Friend | |
Waiting For A Bus | |
Stock Market Portfolios | |
Benford, Parrondo and Simpson | |
BenfordÆs Law | |
ParrondoÆs Paradox | |
SimpsonÆs Paradox | |
Networks, Infectious Disease Propagation and Chain Letters | |
Degrees Of Separation | |
Propagation Along Networks | |
Some Other Uses Of Networks | |
Neighborhood Chains | |
Bird Counting | |
A Walk In The Woods | |
A Model Of Bird Flying Habits | |
Spotting A Bird | |
Putting It All Together | |
Statistical Mechanics And Heat | |
Statistical Mechanics | |
Thermodynamics | |
Introduction To Statistical Analysis | |
Sampling | |
Sample Distributions and Standard Deviations | |
Estimating Population Average From A Sample | |
The Student-T Distribution | |
Polling Statistics | |
Did A Sample Come From A Given Population? | |
Chaos and Quanta | |
Chaos | |
Probability In Quantum Mechanics | |
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