The Basic Elements of Probability

Occur on running experiment 0 impossible 1 always 23

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Unformatted text preview: riment (0 – impossible; 1 – always; 2/3 – 2 out of every 3 times). Math 30530 (Fall 2012) Probability basics August 28, 2013 2/2 Elements of probability 1 Experiment: involving chance, with measurable outcomes 2 Sample space Ω: exhaustive list of mutually exclusive outcomes 3 Events: subsets of outcomes representing things we’re interesting in knowing probabilities of 4 Probability law Pr: assigns to each event a number, representing how likely that event is to occur on running experiment (0 – impossible; 1 – always; 2/3 – 2 out of every 3 times). Pr satisfies three axioms of probability: 1 Pr(A) ≥ 0 for all events A Math 30530 (Fall 2012) Probability basics August 28, 2013 2/2 Elements of probability 1 Experiment: involving chance, with measurable outcomes 2 Sample space Ω: exhaustive list of mutually exclusive outcomes 3 Events: subsets of outcomes representing things we’re interesting in knowing probabilities of 4 Probability law Pr: assigns to each event a number, representing how likely that event is to occur on running experiment (0 – impossible; 1 – always; 2/3 – 2 out of every 3 times). P...
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