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This is a short article on dependence and independence of two events. The ideas are discussed in the context of the conditional probability of one event given another.

Basic Probability, Independence

Independent Events and Independent Experiments

This article attempts to draw a distinction between independent experiments and independent events within an experiment.

Basic Probability, Independence

Independent Events 1

This video explains the difference between independent and dependent events in the context of selecting two winners in a raffle.

Basic Probability, Independence

Independent Events 2

This video looks at the problem in which a student guesses randomly on two multiple choice questions.

Basic Probability, Independence

Independent Events 3

This video discusses the probability of getting an even number each time when rolling a standard fair die 3 times. The rolls are independent.

Basic Probability, Independence

Independent Events

This is one in a series of lessons in probability on the Math Goodies site. Independence of events is described informally and then the multiplication rule is given.

Basic Probability, Independence

Independence (Probability Theory)

This is a brief article on independence, and treats independent events, independent random variables, and independent sigma-algebras. The last topic is too advanced for an elementary course.

Basic Probability, Independence

Craps - Introduction and simulation

This site is an interactive text with links to simulations. The description of the game is followed by a series of 34 statements, including proofs and questions (answers are available).

Combinatorics

Coupon Collector - Introduction

Good statement of the problem with expectation and variance calculated. Several methods of bounding the expectation and variance are given as the number of coupons gets large.

Combinatorics, Discrete Distributions, Geometric and Negative Binomial, Famous Problems, Coupon Collecting

Memorylessness - Introduction

Wikipedia entry for Memorylessness. It defines the concept and discusses a common misconception. Then it discusses the idea in both the discrete and continuous settings.

Continuous Distributions, Exponential and Gamma, Continuous Distributions, Other