Lecture8[1]

Lecture8[1] - When the two events overlap, the intersection...

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Probability Laws Section 4.3 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 8
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Basic Notation ∩ = “intersect” = “and” = x U = “union” = “or” = + P(A) = “The probability of event A” 2 STAT 225, Dallas Bateman, Spring 2010
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De Morgan’s Law (A U B) C = A C ∩ B C (A∩B) C = A C U B C 3 STAT 225, Dallas Bateman, Spring 2010
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Compliment Anything NOT included in the event A. Denoted as A C For each event A, P(A) = 1 – P(A C ) 4 STAT 225, Dallas Bateman, Spring 2010 A A C
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Addition Law P(A U B) = P(A) + P(B) – P(A∩B)
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Unformatted text preview: When the two events overlap, the intersection is counted twice; therefore, we subtract the interaction This intersection is counted twice in the addition rule 5 STAT 225, Dallas Bateman, Spring 2010 Inclusion-Exclusion Principle P(A U B U C) = P(A) + P(B) + P(C) P(AB) P(AC) P(BC) + P(ABC) Add all the odd-way intersections Subtract all the even-way interactions 6 STAT 225, Dallas Bateman, Spring 2010...
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Lecture8[1] - When the two events overlap, the intersection...

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