Question

Describe the sample space for the indicated experiment: A die is thrown two times.

Answer 1

It is given that a dice is thrown two times.

When a dice is thrown, the possible outcomes are 1, 2, 3, 4, 5 and 6. Therefore, the number of outcomes when a dice is thrown two times is S={ ( x,y ):x,y=1,2,3,4,5,6 } .

Thus, the sample space when a dice is thrown two times is,

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 ) }