Ch. 1 Axioms of Probability Flashcards Preview

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Flashcards in Ch. 1 Axioms of Probability Deck (6)
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1

The power set of A, 2^A is

The set consisting of all subsets of A

2

Definition of disjoint, mutually exclusive, or incompatible

A n B = empty set
It is impossible for A and B to both occur

3

If A and B are disjoint, P(A u B) =

P(A) + P(B)
(Also true for an infinite union of pairwise disjoint events

4

P(B\A) =

P(B) - P(A n B)

5

P(A U B) =

P(A) + P(B) - P(A n B)

6

Events E1, E2, ... ,Ek (all subsets of the same sample space) form a partition when:

They all have positive probability
They are pairwise disjoint
Their union is the whole sample space