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This is one in a series of lessons on probability from the Math Goodies site.
This is a short article on Laplace's rule of succession. The rule is derived in the context of a ball and urn model.
This is a short article on conditional independence although the term conditional recurrence is used as the title.
This is a short article on the principle of proportionality.
This is an HTML page that is a part of a larger exposition on probability. Bayes' theorem is derived, first for two events and then for a partition of the sample space into $n$ events.
This is an html page that is a part of a larger exposition on probability.
This applet shows a discrete sample space as a rectangle with a grid of $N_x$ by $N_y$ dots. The underlying probability space is the uniform distribution on this finite set of points.
Answers but no solutions are given for user input.
Overview of Monty Hall problem including several alternate Host and Player strategies. Links to interactive game are embedded in text.
Extensive discussion of problem, solution, history, variants and potential host behaviors .