suppose a city has three newspapers a b and c let a represen

suppose a city has three newspapers: a, b, and c. let a represent the event that the person reads newspaper a, b the event that the person reads b, and similarly for event c. a randomly chosen person reads 0, 1, 2, or all 3 newspapers. List all elements in the sample space as S={........}, and clearly explain your notation.

Solution

A - person reads newspapaer a

B - person reads newspapaer b

C - person reads newspapaer c

D - Persons reads none of the newspaper

Thus the following are the events.

Sample space =

{D, ABC, AB-C, BC-A, CA-B, A-BC, B-CA, C-AB}

Notation and explanation

D - Reads none

ABC-REads all 3

AB-C--REads a and b not C

BC-A--REads c and b not A

CA-B--REads a and c not B

A-BC--REads a not C or b

B-CA--REads b not C or a

C-AB--REads c But not a or b