Given the Interval:
[tex]\lbrack1,9\rbrack[/tex]You need to remember that, by definition, a Sample Space is a collection of all the possible outcomes of a random experiment.
In this case, you have a closed interval (because it has square brackets). Therefore, the Sample Space contains all the Integer Numbers from 1 to 9, including the numbers 1 and 9:
[tex]\lbrace1,2,3,4,5,6,7,8,9\rbrace[/tex]Hence, the answer is: Second option.