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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.
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).
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.
Discussion of the problem with links to interactive experiment.
Quick demonstration of "collecting coupons." In this applet, we seek to match all six faces on a die, 42 mahjong tiles or 52 cards.
A discussion of the derangement problem with links to demonstrations of the concept. The number in the derangements as the number of objects approaches infinity is shown to be equal to $$e$$.
$$n$$ balls numbered 1 through $$n$$ are randomly arranged. A match occurs when the ball number matches the position number. The number of matches is recorded.
This webpage provides brief information about common discrete and continuous distributions including binomial, Poisson, t, normal, and F to mention a few.
This is a brief article on the axioms of probability. A few basic rules that are consequences of the axioms are also discussed.

The lesson begins with an emphasis on isolating the radical expression in a radical equation and then highlights the importance of checking for extraneous solutions that may be generated when t