Question

Simple probability see photo

Answer 1

Sample space for rolling a standard cube:

$\lbrace1;2;3;4;5;6\rbrace$

Rolling a two:

$p\text{ = }\frac{1}{6}$

Rolling an odd number:

$\begin{gathered} Odd\text{ numbers }\lbrace1;3;5\rbrace \\ p\text{ = }\frac{3}{6} \\ p\text{ = }\frac{1}{2} \end{gathered}$

Rolling an even number

$\begin{gathered} Even\text{ numbers \textbraceleft2;4;6\textbraceright} \\ p\text{ = }\frac{1}{2} \end{gathered}$

Rolling a number greater than two:

$\begin{gathered} >2\text{ \textbraceleft3;4;5;6\textbraceright} \\ p=\frac{2}{3} \end{gathered}$

Rolling a number less than three

$\begin{gathered}$

Rolling a two or a five:

$\begin{gathered} 2\text{ or 5 } \\ p\text{ = }\frac{1}{3} \end{gathered}$

Rolling a one:

$p\text{ = }\frac{1}{6}$

Rolling a number less than five:

$\begin{gathered}$