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| S, the set of all possible outcomes of that experiment/activity or process whose outcome is subject to uncertainty. |
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| any collection or subset of outcomes contained in the sample space, S |
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| event consists of exactly one outcome |
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| event consists of more than one outcome. |
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| A', is the set of all outcomes in S that are not contained in A. P(A)+P(A')=1 |
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| AUB, the event consisting of all outcomes that are either in A or in B or in both events, all outcomes in at least one of the events. |
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| A^B, the event consisting of all outcomes that are in both A and B. |
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| mutually exclusive or disjoint |
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| when A^B= null, having no outcomes in common; Two events are mutually exclusive or disjoint if only one of the two events can happen in one trial. In other words, two events that do not have common outcomes |
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| For any event A, P(A) is greater than or equal to 0 |
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| If A1, A2, A3,... is an infinite collection of disjoint events, then P(A1 U A2 U A3 U....)= Summation from i=1 to infinity of P(Ai). |
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| probability of each outcome is equal |
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| rv whose possible values constitute a finite set or can be listed in an infinite sequence in which there is a first element, second element |
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| rv that consists of an infinite number of values or an interval on the number line. no possible value of the variable has positive probability, P(X=c)=0 |
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| P(A^B)=P(A)xP(B), Two events are independent if the probability of one event is unchanged if the other has occurred. So two events A and B are independent if and only if P(A)=P(A|B). Note this leads to P(A)P(B)=P(A and B) if A and B are independent. |
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| ordered subset P= n!/(n-k)! |
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| unordered subset C=n!/(k!(n-k)!) |
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