Sample space for rolling a standard cube:
[tex]\lbrace1;2;3;4;5;6\rbrace[/tex]Rolling a two:
[tex]p\text{ = }\frac{1}{6}[/tex]Rolling an odd number:
[tex]\begin{gathered} Odd\text{ numbers }\lbrace1;3;5\rbrace \\ p\text{ = }\frac{3}{6} \\ p\text{ = }\frac{1}{2} \end{gathered}[/tex]Rolling an even number
[tex]\begin{gathered} Even\text{ numbers \textbraceleft2;4;6\textbraceright} \\ p\text{ = }\frac{1}{2} \end{gathered}[/tex]Rolling a number greater than two:
[tex]\begin{gathered} >2\text{ \textbraceleft3;4;5;6\textbraceright} \\ p=\frac{2}{3} \end{gathered}[/tex]Rolling a number less than three
[tex]\begin{gathered} <3\text{ \textbraceleft1;2\textbraceright} \\ p\text{ = }\frac{1}{3} \end{gathered}[/tex]Rolling a two or a five:
[tex]\begin{gathered} 2\text{ or 5 } \\ p\text{ = }\frac{1}{3} \end{gathered}[/tex]Rolling a one:
[tex]p\text{ = }\frac{1}{6}[/tex]Rolling a number less than five:
[tex]\begin{gathered} <5\text{ \textbraceleft1;2;3;4\textbraceright} \\ p\text{ = }\frac{2}{3} \end{gathered}[/tex]