MAT 2379 Lecture 2: Lecture 2 Notes

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If an outcome x is contained in an event a, then one says that x is favourable to a; sometimes one says that x is a favourable case for a. The interesection of two events a and b is the event denoted in mathematics. A b, and in probability theory ab, which consists of all outcomes favourable to both a and b. From the logical viewpoint, ab corresponds to the event a and. Consider the random experiment consisting in throwing a dice with six faces marked from 1 to 6. S = {1, 2, 3, 4, 5, 6}, with six possible outcomes. Consider the events: a: the outcome is an even digit, b: the outcome is an odd digit, c: the outcome is a multiple of 3. A = {2, 4, 6}, b = {1, 3, 5}, c = {3, 6}, and now we can easily compute the pairwise intersections of those events.

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