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This video lecture introduces the definition of expected value and does a discrete example.
Video from Khan Academy. An introduction to expected value. It starts with the arithmetic mean and develops expected value for a discrete distribution.
Video from Khan Academy. Proves that the expected value of the binomial distribution is $$n*p$$.

This web page contains the definition of expected value for discrete distributions, and also one example comparing two choices to show which has the largest expected value.

A lesson plan for introducing the concept of expected value. Includes NCTM standards, student prerequisites, links to vocabulary, an outline of the lesson, and suggested follow-up.

An applet in which students enter the probability and amount of a payoff, then run many trials to see total payoff and average payoff per game.
This web page contains the definition of expected value for discrete and continuous random variables. It also defines moments and conditional expected value.
Wikipedia entry for expected value. It contains definitions for the finite, countable, and continuous cases; a discussion of properties; some uses and applications; and a brief history.
A video explaining Jensen's Inequality to a general audience.
A video lecture on convergence in probability, the Chebyshev inequality, and the Weak Law of Large Numbers.