Formal Reasoning

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Exam 2

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4 Terms

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Axiom 1: Range

for any event A:

0 ≤ p(A) ≤ 1

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Axiom 2: Certainty

if an event A is a tautology, then:

p(A) = 1

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Axiom 3: Additivity

if two events A and B are mutually exclusive, then:

p(A v B) = p(A) + p(B)

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Axiom 4: Conditional Probability

for any two events A and B, if p(B) ≠ 0

p(A|B) = p(A ∩ B) / p(B)