## Sample Space and Events

The **sample space** is the set of all possible outcomes in an experiment.

__Example 1:__ If a die is rolled, the sample space S is given by

S = {1,2,3,4,5,6}

__Example 2:__ If two coins are tossed, the sample space S is given by

S = {HH,HT,TH,TT} , where H = head and T = tail.

__Example 3:__ If two dice are rolled, the sample space S is given by

S = { (1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) }