AxiomsOfProbability

# AxiomsOfProbability - Le arning Obje s ctive tate e s S...

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Learning Objectives State the three axioms of probability.

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Example After an exam, a doctor concludes that a patient has either plague, leprosy, or SARS. She decides that the probability is 0.7 that the patient has plague, 0.2 that the patient has leprosy, and 0.1 that the patient has SARS. What is the probability that the patient has either plague or leprosy?
Axioms of Probability Non-negativity Additivity Normalization

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Non-negativity For every event A, P ( A ) 0
Additivity The probability of the union of disjoint events is the sum of their individual probabilities P ( A 1 A 2 L ) = P ( A 1 ) + P ( A 2 ) + L

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Normalization The probability of the entire sample space ( ) is equal to one P ( ) = 1
Example Experiment: flip a coin and roll a six-sided di Sample space (outcomes): If the coin and di are both “fair”, then each of the 12

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AxiomsOfProbability - Le arning Obje s ctive tate e s S...

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