Problem 2-07

Suppose that a sample space has five equally likely experimental outcomes: E₁, E₂, E₃, E₄, E₅. Let

A = {E₁, E₂}

B = {E₃, E₄}

C = {E₂, E₃, E₅}

1. Find P(A), P(B), and P(C). If required, round your answers to two decimal places.

   P(A) = fill in the blank 1

   P(B) = fill in the blank 2

   P(C) = fill in the blank 3

2. Find P(A U B). If required, round your answer to two decimal places. P(A U B) = = fill in the blank 5 Are A and B mutually exclusive?
3. Find A^c, C^c, P(A^c), and P(C^c). If required, round your probability answers to two decimal places.

   Ac	=
   Cc	=
   P(Ac)	=	fill in the blank 9
   P(Cc)	=	fill in the blank 10

4. Find A U B^c and P(A U B^c). If required, round your probability answer to two decimal places.

   A U Bc	=
   P(A U Bc)	=	fill in the blank 12

5. Find P(B U C). If required, round your answer to two decimal places. P(B U C) = = fill in the blank 14