Let 1,2,3,4,5,6 denote the event the respective numbers comes when the die is thrown

Since this is a continuous event and doesn’t stop until six is found so the sample space is continuous in nature.

The six may come up on the very first throw or the second or the third and this goes on continuously until six comes

The sample space when 6 comes on very first throw={6}

The sample space when 6 comes on second throw ={(1,6),(2,6),(3,6),(4,6),(5,6)}

This event can go on for infinite times hence the sample space is infinitely defined

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