PLG 310 Chapter Notes - Chapter 4-5: Empirical Probability, Sample Space, Conditional Probability

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21 Feb 2018
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The probability of an event may be obtained 3 different ways: empirically empirical probability = number of times a occurred / number of trials. We o(cid:271)ser(cid:448)e that (cid:1005)(cid:1009)(cid:1005) of the (cid:1010)9(cid:1006) m&m"s (cid:449)ere (cid:271)lue. The o(cid:271)ser(cid:448)ed empirical probability for the occurrence of the blue is 151/692 or 0. 218: theoretically theoretical probability of a = number of times a occurs in sample space/number of elements in sample space. Ex. the sample space for the rolling of one die is s = (1,2,3,4,5,6). An event is a subset of the sample space (denoted by a capital letter other than s); a is commonly used for the first event). Therefore, the probability of an event a, p(a), is the ratio of the number of points that satisfy the definition of the event: subjectively. Helpful way to picture the sample space. Property 1 ( a probability is always a numerical value between zero and one. )

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