Ch. 1 Axioms of Probability

Question 1

The power set of A, 2^A is

Answer 1

The set consisting of all subsets of A

Question 2

Definition of disjoint, mutually exclusive, or incompatible

Answer 2

A n B = empty set

It is impossible for A and B to both occur

Question 3

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

Answer 3

P(A) + P(B)

(Also true for an infinite union of pairwise disjoint events

Question 4

P(B\A) =

Answer 4

P(B) - P(A n B)

Question 5

P(A U B) =

Answer 5

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

Question 6

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

Answer 6

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