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By: Neil E. Cotter
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Probability
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Basic Probability |
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Axioms |
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Axiom: Probability
of obtaining an outcome in sample, S,
equals 1 ≡ P(S)
= 1
Axiom: Probability
of not obtaining any outcome in sample, S,
equals 0 ≡ P(Æ) = 0
Axiom: Probability
of event A is in the range from 0 to
1 ≡ 0 ≤ P(A) ≤ 1
Thm: If A and B are events, the probability of event A∪B equals
P(A)
+ P(B) – P(A∩B) ≡ P(A∪B) = P(A) + P(B) – P(A∩B)
Cor: If A and B are mutually exclusive, the probability of event A∪B equals P(A) + P(B) ≡
P(A∪B) = P(A) + P(B)