Sample Spaces and Assignment of Probability

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Probability Sample Spaces Assigning Probability ConclusionIntroduction to ProbabilityMany real world events can be considered chance or random. Theymay be deterministic, but we can not know or comprehend all thefactors which determine the outcome.ExampleYou flip a coin. Air current, the arrangement of the coin on yourfinger, the force of your flip, and other factors all go together todetermine the outcome of Heads or Tails.For any one toss, these factors are too complicated to take intoaccount, and the outcome appears random. Since the outcome isheads roughly half the time, we assign the following probabilities:Pr[H] = 1 2Pr[T ] = 1 2
Probability Sample Spaces Assigning Probability ConclusionIntroduction to ProbabilityMany real world events can be considered chance or random. Theymay be deterministic, but we can not know or comprehend all thefactors which determine the outcome.ExampleYou flip a coin. Air current, the arrangement of the coin on yourfinger, the force of your flip, and other factors all go together todetermine the outcome of Heads or Tails.For any one toss, these factors are too complicated to take intoaccount, and the outcome appears random. Since the outcome isheads roughly half the time, we assign the following probabilities:Pr[H] = 1 2Pr[T ] = 1 2
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Sample Spaces and Assignment of Probability

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