MA240 Lecture Notes - Lecture 2: Histogram, Mutual Exclusivity, Sample Space
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): function that describes the probabilities of all outcomes of a random experiment. Properties of probability (1. 2) (cid:15) algebra of sets: (review) (a) ; ! :no elements in the set (b) a (cid:26) b !the set a is a subset of the set b. All elements in the set a are also part of the set b (c) a [ b ! Union of the sets a and b. denotes all the elements that are a part of set a or set b. (d) a \ b ! Intersection of the sets a and b. denotes all elements that are a part of both a and b. (e) a0 ! Example: rolling a fair dierepeated rolls will show that a 1 will appear 1 out of 6 times - so the probability is 1. 1 (cid:15) axiom 3) can be extended: if events a1, , ak are mutually exclusive, then.
