The set of all possible outcomes of the experiment and is denoted by Ω
Sample Space
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It is a subset of the sample space.
Event
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A collection of events is this if it satisfies the following properties: 1. the sample space is an element, 2. if A is an element then so is A composite, 3. if A,B,C are elements then so is AUBUCU...
Sigma Field
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The is the triple of sample space, the sigma field and all the events in the sigma field and must satifies the Probability axioms
Probability Space
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1. 0≤P(A)≤1 for any A, 2. P(Ω)=1, 3.if A,B,.. are mutually exclusive.
Three Axioms of Probability
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For any finite collection of these type of events A,B,... P(union of events)=Sum of the probability of events. If they are this P(AUB)=P(A)+P(B)
Mutually Exclusive
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P(AUB) = P(A) + P(B) - P(AnB) (also known as the inclusion-exclusion principle)
Addition Law
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Other cards in this set
Card 2
Front
It is a subset of the sample space.
Back
Event
Card 3
Front
A collection of events is this if it satisfies the following properties: 1. the sample space is an element, 2. if A is an element then so is A composite, 3. if A,B,C are elements then so is AUBUCU...
Back
Card 4
Front
The is the triple of sample space, the sigma field and all the events in the sigma field and must satifies the Probability axioms
Back
Card 5
Front
1. 0≤P(A)≤1 for any A, 2. P(Ω)=1, 3.if A,B,.. are mutually exclusive.
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