4 Conditional probability and Independencs

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9 Terms

1
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Conditional probability of b given event a

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2
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1 − P(Bc | A),

P(b|a)

3
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P(C ∪ B | A)

= P(C | A) + P(B | A) − P(C ∩ B | A

4
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P(C ∩ B ∩ A) with conditional probability

P(C | B ∩ A) × P(B | A) × P(A).

5
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What is a finite sequence of evenets (Ai) ^n I=1

partition

of Ω if (Ai)ni=1 are disjoint and Ω = Uni=1 Ai

6
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Law of total probability

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7
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Byes rule


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8
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When are 2 events independent

P(A nB) = P(A) x P(B)

9
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When do we call a finite sequence of events independent

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