Symbolic Probability Rules

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Last updated 10:54 PM on 4/29/26
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10 Terms

1
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Complement Rule

P(A') = 1 - P(A)

2
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General Addition Rule

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

3
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General Multiplication Rule

P(A ∩ B) = P(A) * P(B | A)

4
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Conditional Probability Formula

P(A | B) = P(A ∩ B) / P(B)

5
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Bayes' Theorem

P(A | B) = [P(B | A) * P(A)] / P(B)

6
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Independent Events

One event does not affect the other; P(A | B) = P(A)

7
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Mutually Exclusive Events

Events that cannot happen at the same time; P(A ∩ B) = 0

8
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Multiplication Rule (Independent)

P(A ∩ B) = P(A) * P(B)

9
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Addition Rule (Mutually Exclusive)

P(A ∪ B) = P(A) + P(B)

10
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De Morgan's (Neither A nor B)

P(A' ∩ B') = 1 - P(A ∪ B)