Probability Rules

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13 Terms

1
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Rule 1

0 ≤ P( A ) ≤ 1

2
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Rule 2

P( S ) = 1

3
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Rule 3

P( A ) + P( Ac ) = 1

4
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Rule 4a

P( A or B ) = P( A ) + P( B )

if disjoint/mutually exclusive

5
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Rule 4b

P( A or B ) = P( A ) + P( B ) - P ( A and B )

if not disjoint/mutually exclusive

6
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Rule 5a

P( A and B ) = P( A ) x P( B )

if independant

7
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Rule 5b

P( A and B ) = P( A ) x P( B l A )

if not independant

8
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OR means

addition

9
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AND means

multiplication

10
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P ( B l A )

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11
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P( A ) + P( B ) = 0 means that

A and B are disjoint/mutually exclusive events

12
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P(B) = P( B l A ) used only if

A , B are independant events

13
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Conditional Probability

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