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Simple, clean graphics for a simulation of Monty Hall problem. Percentages for switch-win, switch-lose, stay-win, stay-lose are collected.
This is a short article on conditional probability that gives the definition, the multiplication rule, and Baye's theorem for two events.
This is a short article on Bayes' theorem. The theorem is derived in the setting of a finite partition of the sample space.
This is a brief article on the law of total probability. The law is expressed in terms of a partition and in terms of a discrete random variable.
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.
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).
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 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.
This video discusses the probability of getting an even number each time when rolling a standard fair die 3 times. The rolls are independent.